2
(a) Chip flies from New York to St Petersburg.
The plane takes off at 02 30 and arrives in St Petersburg at 19 35.
The local time in New York is 8 hours behind the local time in St Petersburg.
How long does the flight take?
ss
am
1
Answer(a) .......................... hours .......................... min [2]
(b) Chip books a bus tour of St Petersburg.
The cost is $290 for each adult and $163 for each child.
There are 37 adults and 8 children on the bus.
dE
(i) Calculate how much is paid altogether.
Answer(b)(i) $ ................................................. [3]
(ii) The bus has 53 seats for passengers.
hm
ou
Calculate the percentage of seats that are occupied.
Answer(b)(ii) ............................................ % [2]
(iii) Chip pays $290 for the bus tour.
The exchange rate is $1 = 33.2 rubles.
Ma
Work out the cost of the tour in rubles.
Answer(b)(iii) ..................................... rubles [1]
(c) St Isaac’s cathedral in St Petersburg is 101 m high, correct to the nearest metre.
Complete the statement about the height, h metres, of St Isaac’s cathedral.
© UCLES 2015
Answer(c) ........................ ! h < ........................ [2]
0580/33/O/N/15
4
Kylie, Rio and Choi buy a horse for $21 600.
(a) They pay for the horse in the ratio
ss
am
2
Kylie : Rio : Choi = 2 : 3 : 4.
Calculate the amount that they each pay.
Answer(a) Kylie $ .................................................
Rio $ .................................................
dE
Choi $ ................................................. [3]
(b) It costs $14 000 to keep the horse for one year.
(i) Food costs 30% of the $14 000.
ou
Calculate the cost of the food.
Answer(b)(i) $ ................................................. [2]
(ii) Stable fees are $8000.
hm
Write this as a fraction of the $14 000.
Give your answer in its lowest terms.
Answer(b)(ii) ................................................ [2]
Ma
(iii) It costs $600 for vets’ fees and the rest of the $14 000 is spent on equipment.
Work out how much is spent on equipment.
© UCLES 2015
Answer(b)(iii) $ ................................................. [2]
0580/33/O/N/15
5
ss
am
(c) They later sell the horse for $17 280.
Calculate the percentage loss on the $21 600 they paid for the horse.
Answer(c) ............................................ % [3]
(d) Rio invests $5500 for 3 years at a rate of 2.5% per year compound interest.
dE
Calculate how much interest he receives after the 3 years.
Ma
hm
ou
Answer(d) $ ................................................. [3]
__________________________________________________________________________________________
© UCLES 2015
0580/33/O/N/15
[Turn over
8
(a) Solve.
ss
am
4
(i) 29 – x = 18
Answer(a)(i) x = ................................................ [1]
(ii) 4(2y + 7) = 164
Answer(a)(ii) y = ................................................ [3]
(b) Simplify.
dE
6x4 × 8x
Answer(b) ................................................ [2]
(c) Find
81,
(ii) 73,
hm
(iii) 80.
ou
(i)
Answer(c)(i) ................................................ [1]
Answer(c)(ii) ................................................ [1]
Answer(c)(iii) ................................................ [1]
(d) (i) Write 6751 correct to the nearest hundred.
Answer(d)(i) ................................................ [1]
(ii) Write 0.25 as a fraction.
Ma
Answer(d)(ii) ................................................ [1]
(iii) Write 0.06 as a percentage.
Answer(d)(iii) ............................................ % [1]
(iv) Write 687 000 000 in standard form.
Answer(d)(iv) ................................................ [1]
__________________________________________________________________________________________
© UCLES 2015
0580/33/O/N/15
12
(a) Goat food is sold in 20 kg bags.
One goat eats 25 of a bag of food each week.
ss
am
7
(i) Work out how many kilograms of food this goat eats in one week.
Answer(a)(i) ........................................... kg [1]
(ii) How many bags of food will the goat eat in 15 weeks?
Answer(a)(ii) ................................................ [2]
dE
(b) This scale drawing shows a field.
The scale is 1 centimetre represents 2 metres.
hm
ou
A
Ma
C
© UCLES 2015
0580/33/O/N/15
B
(i) Find the actual length of AB.
ss
am
13
Answer(b)(i) ............................................ m [1]
(ii) There are two goats in the field.
One goat is on a 14 m lead fastened at point B.
The other goat is on a 12 m lead fastened at point C.
There is a water trough positioned so that both goats can reach it.
Shade the area where the trough can be positioned.
(iii) The trough holds 6.5 litres of water.
How many millilitres is this?
[3]
Ma
hm
ou
dE
Answer(b)(iii) ........................................... ml [1]
__________________________________________________________________________________________
© UCLES 2015
0580/33/O/N/15
[Turn over
8
ss
am
14
y
L
18
16
14
12
10
8
dE
6
4
2
–2
1
0
–1
–2
3
4
5
x
ou
–4
2
–6
–8
(a) The line L is drawn on the grid.
hm
Find the equation of the line in the form y = x + .
y = ................................................ [3]
(b) (i) Complete the table of values for y = x2 – 4x – 2.
x
Ma
y
–2
–1
0
1
–2
2
3
4
5
–6
–5
–2
3
[3]
(ii) On the grid above, draw the graph of y = x2 – 4x – 2 for –2 ! x ! 5.
[4]
(iii) Use your graph to solve the equation x2 – 4x – 2 = 0.
(iii) x = ....................... or x = ....................... [2]
__________________________________________________________________________________________
© UCLES 2015
0580/33/O/N/15
16
Diagram 1
ss
am
10 The first three diagrams in a sequence are shown below.
Diagram 2
Diagram 3
Diagram
Lines
Dots
dE
(a) Complete the table for the number of lines and the number of dots in Diagram 3 and Diagram 4.
1
2
5
10
6
11
3
4
[2]
(b) For Diagram n, write down an expression, in terms of n, for the number of
(ii) dots.
ou
(i) lines,
Answer(b)(i) ................................................ [1]
Answer(b)(ii) ................................................ [1]
hm
(c) Work out the number of lines and the number of dots in Diagram 20.
Answer(c) Number of lines = ................................................
Ma
Number of dots = ................................................ [2]
__________________________________________________________________________________________
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable
effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will
be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge International
Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after
the live examination series.
Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local
Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
© UCLES 2015
0580/33/O/N/15
1
(a) Write down in figures the number twenty one million.
ss
am
2
Answer(a) ................................................... [1]
(b) Write down the four factors of 21.
Answer(b).............. , .............. , .............. , .............. [2]
(c) Write 21% as a fraction.
Answer(c) ................................................... [1]
(d) Put brackets in this calculation to make it correct.
210 + 21 ÷ 2.1 + 21 = 10
dE
[1]
(e) Write down the first two prime numbers after 21.
Answer(e) ..................... and ..................... [2]
(f)
Fill in the missing number.
(g) Calculate 21 2 - 21 .
(i)
[1]
Answer(g) ................................................... [1]
Answer(h) ................................................... [1]
Write down the value of 21 0 .
Answer(i) ................................................... [1]
Write 0.0021 in standard form.
Answer(j) ................................................... [1]
Ma
(j)
hm
(h) Work out ( 21) 2 .
ou
21 = 210
210 ff
(k) Write down the lowest common multiple (LCM) of 21 and 15.
© UCLES 2015
Answer(k) ................................................... [2]
0580/32/O/N/15
3
Here are the first four diagrams in a sequence.
Diagram 1
Diagram 2
Diagram 3
ss
am
2
Diagram 4
(a) On the grid, draw Diagram 5.
[1]
(b) Complete the table below for Diagram 4 and Diagram 5.
Number of
s
Number of
s
1
2
3
4
1
0
1
3
1
4
6
3
9
ou
5
s and
(c) Find an expression, in terms of n, for the total number of
s and
[2]
s in Diagram n.
Answer(c) ................................................... [1]
s in Diagram 23.
hm
(d) Find the total number of
Total number
of s and s
dE
Diagram
number
Diagram 5
Answer(d) ................................................... [1]
(e) Describe in words the rule for continuing the sequence for the number of
1,
3,
6,
s.
…
Ma
Answer(e).............................................................................................................................................. [1]
© UCLES 2015
0580/32/O/N/15
[Turn over
10
A sweet shop sells lots of different types of sweets.
(a) (i)
ss
am
6
Each large bag of mixed sweets is divided in the ratio
Each large bag has a total of 180 sweets.
mints : jellies : toffees = 5 : 2 : 8.
Calculate the number of sweets of each type in a large bag.
Answer(a)(i) Mints = ............................
Jellies = ............................
Toffees = ............................[3]
The mass, m grams, of a small bag of sweets is 75 g, correct to the nearest gram.
dE
(ii)
Complete the statement about the value of m.
Answer(a)(ii)……………. ! m " ………….. [2]
(b) There are 156 g of sugar in a 240 g bar of chocolate.
(iii)
ou
(ii)
Write 156 as a percentage of 240.
Answer(b)(i) ............................................. % [1]
Work out the number of grams of sugar in a 1.2 kilogram bar of chocolate.
hm
(i)
Answer(b)(ii) .............................................. g [2]
Another bar of chocolate is made.
The mass is 35% greater than the 240 g bar.
Ma
Work out the mass of this chocolate bar.
© UCLES 2015
Answer(b)(iii) .............................................. g [2]
0580/32/O/N/15
11
ss
am
(c) A girl buys a large piece of fudge.
3
herself and divides the rest equally between 4 friends.
She eats 10
Work out the fraction of this fudge that each friend receives.
Answer(c) ................................................... [2]
(d) Gabriella and Max buy some bags of mints and some bags of toffees from the shop.
The cost of one bag of mints is m cents and the cost of one bag of toffees is t cents.
Gabriella buys 3 bags of mints and 5 bags of toffees for $4.70 .
Complete the equation.
dE
(i)
3m + 5t = ..................
(ii)
[1]
Max buys 4 bags of mints and 3 bags of toffees for $3.70 .
Write this information as an equation.
Answer(d)(ii) .......................................... = ................ [2]
ou
Solve your two equations to find the cost of a bag of mints and the cost of a bag of toffees.
You must show all your working.
Ma
hm
(iii)
© UCLES 2015
Answer(d)(iii) Cost of a bag of mints = ....................................... cents
Cost of a bag of toffees = ........................................ cents [4]
0580/32/O/N/15
[Turn over
12
Fintown
ss
am
7
16
14
12
Emley
Distance
from
Dexford (km)
10
8
6
2
Dexford
0
09 00
dE
4
09 10
09 20
Time
09 30
09 40
The grid shows the travel graph for a train travelling from Dexford to Fintown, stopping at Emley.
(ii)
Write down the distance the train travels in the first 8 minutes.
ou
(a) (i)
Answer(a)(i) ............................................ km [1]
Calculate the average speed, in kilometres per hour, for the journey from Dexford to Fintown.
Answer(a)(ii) ......................................... km/h [3]
(i)
(ii)
hm
(b) The train waits at Fintown for 4 minutes.
The train then returns to Dexford without stopping at Emley.
The return speed of the train is 80 km/h.
Complete the travel graph.
[2]
Change 80 km/h to metres per second.
Answer(b)(ii) ........................................... m/s [2]
Ma
(c) Trains leave Dexford for Fintown every 75 minutes.
The train that leaves Dexford at 09 00 is the first train of the day.
Write down the time that the fourth train leaves Dexford for Fintown.
© UCLES 2015
Answer(c) ................................................... [2]
0580/32/O/N/15
9
ss
am
14
y
l
8
7
6
5
4
3
dE
2
1
–4
–3
–2
0
–1
1
2
3
4
x
–1
–2
ou
–3
–4
–5
–6
hm
–7
–8
(a) Write down the equation of the line l in the form y = mx + c.
Answer(a) y = ................................................... [3]
Ma
2
(b) Complete the table of values for y = .
x
x
y
−4
−3
−0.7
−2
−1
−0.5
−4
(c) On the grid, draw the graph of y =
© UCLES 2015
−0.25
0.25
0.5
1
2
4
3
4
0.7
[3]
2
for –4 ! x ! –0.25 and 0.25 ! x ! 4.
x
0580/32/O/N/15
[4]
3
(a) Write down a number between 20 and 30 that is
ss
am
2
(i) a multiple of 6,
Answer(a)(i) ................................................ [1]
(ii) a square number,
Answer(a)(ii) ................................................ [1]
(iii) a cube number,
Answer(a)(iii) ................................................ [1]
(iv) a prime number.
dE
Answer(a)(iv) ................................................ [1]
(b) Find
(i)
3
4913 ,
Answer(b)(i) ................................................ [1]
(ii) 35,
(iii) 60,
ou
Answer(b)(ii) ................................................ [1]
Answer(b)(iii) ................................................ [1]
hm
(iv) 2–4.
Answer(b)(iv) ................................................ [1]
(c) (i) Write 84 as a product of its prime factors.
Answer(c)(i) ................................................ [2]
Ma
(ii) Find the highest common factor (HCF) of 84 and 126.
Answer(c)(ii) ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/31/O/N/15
[Turn over
3
(a) Luis buys a season ticket to watch his local football team.
The season ticket costs $595.
ss
am
4
(i) Luis buys the season ticket online and gets a 5% discount on the $595.
Work out how much Luis pays for the season ticket online.
Answer(a)(i) $ ................................................. [2]
(ii) A ticket to watch one match costs $38.
Luis watches 16 matches.
dE
How much did Luis save by buying a season ticket online instead of 16 tickets at $38 each?
Answer(a)(ii) $ ................................................. [2]
ou
(b) The football stadium has 26 272 seats.
The number of people who attend one match is 23 854.
hm
Calculate the percentage of the 26 272 seats that are empty.
Answer(b) ............................................ % [2]
(c) The total number of people attending matches at the stadium last season was 506 762.
Ma
Write 506 762 in standard form, correct to 3 significant figures.
© UCLES 2015
Answer(c) ................................................ [2]
0580/31/O/N/15
6
Three friends are going on holiday.
They travel by plane.
ss
am
4
(a) Ahmed’s suitcase has mass m kilograms.
(i) The mass of Sonia’s suitcase is 5 kg more than the mass of Ahmed’s suitcase.
Write down an expression, in terms of m, for the mass of Sonia’s suitcase.
Answer(a)(i) ............................................ kg [1]
(ii) The mass of Hala’s suitcase is twice the mass of Ahmed’s suitcase.
Write down an expression, in terms of m, for the mass of Hala’s suitcase.
dE
Answer(a)(ii) ............................................ kg [1]
(iii) The total mass of the three suitcases is 47 kg.
Write down an equation in terms of m.
ou
Answer(a)(iii) ............................................................ [1]
Answer(a)(iv) Ahmed’s suitcase ........................................... kg
Sonia’s suitcase ........................................... kg
Hala’s suitcase ........................................... kg [3]
Ma
hm
(iv) Solve your equation and find the mass of each suitcase.
© UCLES 2015
0580/31/O/N/15
7
ss
am
(b) Each friend carries one bag of hand luggage onto the plane.
(i) The rule for the maximum size of each bag of hand luggage is
length + width + height ! 115 cm.
The measurements of Ahmed’s bag are shown in the table.
Length
Width
Height
550 mm
395 mm
200 mm
Can Ahmed carry this bag onto the plane? Explain your answer.
Answer(b)(i) ......................... because ........................................................................................
dE
..................................................................................................................................................... [2]
(ii) The mass of Ahmed’s bag is 5 kg, correct to the nearest kilogram.
Write down the upper bound of the mass of his bag.
Answer(b)(ii) ........................................... kg [1]
ou
(c) The friends change money from dollars into euros (€) to spend on holiday.
The exchange rate is $1 = €0.68 .
(i) Sonia changes $150 into euros.
Work out how many euros she receives.
hm
Answer(c)(i) € ................................................. [1]
(ii) Hala pays €25.50 for a meal.
Work out how much this is in dollars.
Ma
Answer(c)(ii) $ ................................................. [2]
__________________________________________________________________________________________
© UCLES 2015
0580/31/O/N/15
[Turn over
Ma
ss
am
dE
ou
hm
7
6
(a) The table shows some values of y = x .
x
–5
–4
y
–1.2 –1.5
–3
–2
–1
1
6
(i) Complete the table.
ss
am
12
2
3
4
5
2
1.5
1.2
[2]
6
(ii) On the grid, draw the graph of y = x for –5 ! x ! –1 and 1 ! x ! 5.
y
6
dE
5
4
3
2
1
–4
–3
–2
–1
0
1
ou
–5
2
3
4
5
x
–1
–2
hm
–3
–4
–5
–6
[4]
(iii) On the same grid, draw the line y = 4.
[1]
Ma
6
(iv) Find the co-ordinates of the point where the line y = 4 crosses the graph of y = x .
© UCLES 2015
Answer(a)(iv) (.................. , ..................) [1]
0580/31/O/N/15
(b)
y
5
4
3
2
1
–5
–4
–3
–2
–1 0
1
2
3
4
dE
–1
ss
am
13
5
x
–2
–3
–4
–5
[1]
ou
(i) On this grid, plot the point A (–1, –3).
[1]
0580/31/O/N/15
[Turn over
(ii) Draw a line with gradient 2 through point A.
(iii) Write down the equation of your line in the form y = mx + c.
Ma
hm
Answer(b)(iii) y = ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
15
(a) Expand and simplify.
ss
am
9
2(3x + 2) – 4(x + 1)
Answer(a) ................................................ [2]
(b) Factorise completely.
3y2 – 6y
(c) Make b the subject of the formula.
dE
Answer(b) ................................................ [2]
a= b –5
4
ou
Answer(c) b = ................................................. [2]
(d) Solve the simultaneous equations.
You must show all your working.
Ma
hm
3x + 2y = 11
6x – y = 32
Answer(d) x = ................................................
y = ................................................ [3]
__________________________________________________________________________________________
© UCLES 2015
0580/31/O/N/15
1
Write in figures the number six thousand and fifty four.
ss
am
2
Answer ................................................ [1]
__________________________________________________________________________________________
Measure the length of this line in centimetres.
dE
2
Answer .......................................... cm [1]
__________________________________________________________________________________________
Write down the order of rotational symmetry of this shape.
ou
3
Answer ................................................ [1]
__________________________________________________________________________________________
4
Write 168.9 correct to 2 significant figures.
5
hm
Answer ................................................ [1]
__________________________________________________________________________________________
Calculate
2.07 - 1.89 .
5.71 - 3.92
Ma
Answer ................................................ [1]
__________________________________________________________________________________________
© UCLES 2015
0580/13/O/N/15
6
1
The probability that it will rain on any day is 5 .
ss
am
3
Calculate an estimate of the number of days it will rain in a month with 30 days.
Answer ................................................ [1]
__________________________________________________________________________________________
11
7
12
13
14
From the list of numbers, write down
(a) the factors of 60,
15
16
(b) the prime numbers.
dE
Answer(a) ................................................ [1]
Answer(b) ................................................ [1]
__________________________________________________________________________________________
8
These are the first four terms in a sequence.
17
13
ou
21
9
(a) Write down the next number in this sequence.
Answer(a) ................................................ [1]
(b) Write down the rule for continuing the sequence.
9
hm
Answer(b) ........................................................................................................................................... [1]
__________________________________________________________________________________________
Simplify.
1 – 2u + u + 4
Ma
Answer ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/13/O/N/15
[Turn over
4
ss
am
10 (a) At 9 am the temperature was –3°C.
At 1pm the temperature had risen by 5°C.
Work out the temperature at 1pm.
Answer(a) ............................................ °C [1]
(b) Work out –7 – 2.
Answer(b) ................................................ [1]
__________________________________________________________________________________________
dE
11
NOT TO
SCALE
5 cm
2 cm
x°
ou
Calculate the value of x.
hm
Answer x = ................................................ [2]
__________________________________________________________________________________________
Ma
12 Write 72 as a product of its prime factors.
Answer ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/13/O/N/15
13
x cm
18 cm
26 cm
Calculate the value of x.
ss
am
5
NOT TO
SCALE
dE
Answer x = ................................................ [2]
__________________________________________________________________________________________
14 In this question use a ruler and compasses only and show all your construction arcs.
hm
ou
Using a scale of 1 centimetre to represent 50 metres, construct a triangle with sides 550 m, 450 m and 300 m.
The 300 m side has been drawn for you.
Ma
[2]
__________________________________________________________________________________________
© UCLES 2015
0580/13/O/N/15
[Turn over
Ma
ss
am
dE
ou
hm
22 Solve the simultaneous equations.
You must show all your working.
dE
5x + 2y = 8
2x – 3y = 26
ss
am
9
Answer x = ................................................
Ma
hm
ou
y = ................................................ [4]
__________________________________________________________________________________________
© UCLES 2015
0580/13/O/N/15
[Turn over
2
Write down the difference in temperature between 8°C and −9°C.
ss
am
1
Answer .............................................°C [1]
2
Parallelogram
Trapezium
•
rotational symmetry of order 2
•
no line symmetry.
and
dE
Write down which one of these shapes has
Rhombus
Answer ................................................... [1]
__________________________________________________________________________________________
3
Write down the number in this list that is irrational.
3
5
7
–36.2
47.35%
ou
1.2 × 10–3
Answer ................................................... [1]
__________________________________________________________________________________________
1
Show that 0.3 ! .
3
Answer
[1]
Write 1426.3075 correct to
Ma
5
hm
4
(a) 2 decimal places,
Answer(a) ................................................... [1]
(b) 2 significant figures.
© UCLES 2015
Answer(b) ................................................... [1]
0580/12/O/N/15
3
$2600 is invested for 5 years at a rate of 4% per year simple interest.
ss
am
6
Calculate the total interest at the end of the 5 years.
Answer $ .................................................. [2]
7
Carlos changed $950 into euros (€) when the exchange rate was €1 = $1.368 .
dE
Calculate how many euros Carlos received.
Answer € ................................................... [2]
ou
8
NOT TO
SCALE
25 cm
hm
15 cm
7.2 cm
x cm
The diagram shows two jugs that are mathematically similar.
Ma
Find the value of x.
© UCLES 2015
Answer x = .................................................. [2]
0580/12/O/N/15
[Turn over
9
–1,
3,
7,
11,
Write down the nth term for this sequence.
ss
am
4
......
Answer ................................................... [2]
10
C
NOT TO
SCALE
B
dE
19.3 m
A
14.5 m
ou
Use trigonometry to calculate angle ACB.
Answer Angle ACB = ................................................. [2]
11
(a) Solve.
hm
3x 2 = 108
Answer(a) x = .................................................. [1]
w 6 # w k = w 18
(b)
Ma
Find the value of k.
© UCLES 2015
Answer(b) k = .................................................. [1]
0580/12/O/N/15
12
(a)
y
4
3
2
A
–4
–3
1
–2
–1
0
1
2
–1
–2
ss
am
5
3
x
4
dE
B
–3
–4
Points A and B are shown on the grid.
(b) CD = e
5
o
-7
ou
Write AB as a column vector.
A
AB = f
p [1]
A
DC = f
p [1]
Rearrange the formula to make y the subject.
R=
ty
4
Ma
13
hm
Write DC as a column vector.
© UCLES 2015
A
0580/12/O/N/15
y = .................................................. [2]
[Turn over
7
Fruit juice costs $1.27 per litre and rice costs $1.68 per kilogram.
ss
am
16
Work out the total cost of 4 litres of fruit juice and 3.5 kilograms of rice.
17
dE
Answer $ ................................................... [3]
Jason receives some money for his birthday.
11
of the money and has $14.40 left.
He spends
15
Answer $ .................................................. [3]
The table shows information about the numbers of pets owned by 24 students.
hm
18
ou
Calculate how much money he received for his birthday.
Number of pets
0
1
2
3
4
5
6
Frequency
1
2
3
5
7
3
3
Ma
Calculate the mean number of pets.
© UCLES 2015
Answer .................................................. [3]
0580/12/O/N/15
[Turn over
19
8 cm
5 cm
x cm
NOT TO
SCALE
dE
Calculate the value of x.
ss
am
8
x = ................................................. [3]
20
1 11
Without using your calculator, work out 2 - .
4 12
hm
ou
You must show all your working and give your answer as a fraction in its lowest terms.
Ma
.................................................. [3]
© UCLES 2015
0580/12/O/N/15
10
(a) Expand.
ss
am
23
- 4 (2w - 5)
Answer(a) ................................................... [1]
(b) Factorise.
6x 2 - x
Answer(b) .................................................. [1]
A = 2pq + 3pr
(c)
dE
Find A when p = 7, q = 5 and r = − 2 .
Ma
hm
ou
Answer(c) A = ................................................. [2]
© UCLES 2015
0580/12/O/N/15
2
Write these numbers in order of size, starting with the smallest.
5.024
0.524
5.204
ss
am
1
5.0204
Answer ..................... < ..................... < ..................... < ..................... [1]
smallest
__________________________________________________________________________________________
2
At midnight the temperature in Newtown was –8 °C.
At noon the next day the temperature in Newtown was 9 °C.
dE
Work out the rise in temperature from midnight to noon.
Answer ........................................... °C [1]
__________________________________________________________________________________________
3
Simplify
r6 .
r2
4
(a) Work out
3
as a decimal.
8
hm
(b) Write
5
of 168.
12
ou
Answer ................................................ [1]
__________________________________________________________________________________________
Answer(a) ................................................ [1]
Ma
Answer(b) ................................................ [1]
__________________________________________________________________________________________
© UCLES 2015
0580/11/O/N/15
3
Calculate.
ss
am
5
(a) 3.2 × (5.7 – 1.3) + 4.8
Answer(a) ................................................ [1]
(b)
2.54 - 0.85
-1
q=e o
3
4
p=e o
-2
6
Work out 3p – q.
dE
Answer(b) ................................................ [1]
__________________________________________________________________________________________
f
Answer
p
[2]
ou
__________________________________________________________________________________________
7
y
4
hm
3
Ma
–4
–3
–2
2
A
1
–1 0
1
2
3
4
5
x
–1
–2
–3
2
o.
Draw the image of shape A after a translation by the vector e
[2]
-3
__________________________________________________________________________________________
© UCLES 2015
0580/11/O/N/15
[Turn over
8
Pip and Ali share $785 in the ratio
Pip : Ali = 4 : 1.
Work out Pip’s share.
ss
am
4
Answer $ ................................................ [2]
__________________________________________________________________________________________
9
Jim scores the following marks in 8 tests.
7
8
8
y
6
His mean mark is 7.5 .
10
dE
Calculate the value of y.
9
5
Answer y = ................................................ [2]
__________________________________________________________________________________________
hm
Show all your working.
ou
10 By writing each number correct to 1 significant figure, estimate the value of
3.9 # 29.3 .
8.9 - 2.7
Ma
Answer ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/11/O/N/15
5
ss
am
11 Without using a calculator, work out 2 ÷ 3 .
5
4
Give your answer as a fraction.
You must show each step of your working.
Answer ................................................ [2]
__________________________________________________________________________________________
dE
12
6m
0.8 m
NOT TO
SCALE
3m
0.8 m
ou
Leah is making a path in her garden using gravel.
The diagram shows the path.
A bag of gravel covers an area of 0.5 m2.
hm
Work out the number of bags of gravel Leah must buy to make the path.
Ma
Answer ................................................ [3]
__________________________________________________________________________________________
© UCLES 2015
0580/11/O/N/15
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18
ss
am
9
NOT TO
SCALE
6.1 cm
A protractor is a semi-circle of radius 6.1 cm.
dE
Calculate the perimeter of the protractor.
Answer .......................................... cm [3]
__________________________________________________________________________________________
19 (a)
s = 4t + 3u
5x – 7 = 10.
Answer(a) s = ................................................ [2]
hm
(b) Solve
ou
Calculate s when t = 2.6 and u = –0.4 .
Ma
Answer(b) x = ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/11/O/N/15
[Turn over
10
ss
am
20 (a) Maria travels by bus to the shopping mall.
She leaves home at 11 50 and arrives at the shopping mall at 12 17.
How many minutes does it take Maria to travel from home to the shopping mall?
Answer(a) ......................................... min [1]
(b)
Shopping mall
5
4
3
2
1
Home
0
14 00
14 15
dE
Distance from
home (km)
14 30
14 45
15 00
15 15
15 30
15 45
16 00
Time
ou
Maria walks home from the shopping mall.
The travel graph shows part of her journey.
(i) Maria stops at her friend’s house on the way home.
hm
How far from the shopping mall does her friend live?
Answer(b)(i) .......................................... km [1]
(ii) Maria leaves her friend’s house at 14 55.
She walks the rest of the way home at a constant speed of 4 km/h.
Complete the travel graph.
Ma
[2]
__________________________________________________________________________________________
© UCLES 2015
0580/11/O/N/15
11
ss
am
21 (a) Sara works for 28 hours each week.
She earns $12.45 per hour.
Calculate how much she earns in one week.
Answer(a) $ ................................................ [1]
(b) Sara invests $750 for 3 years at a rate of 2.4% per year compound interest.
dE
Calculate the total amount she will have at the end of the 3 years.
Answer(b) $ ................................................ [3]
__________________________________________________________________________________________
22 (a) Write down the next term in each of these sequences.
3
9
6
13
17
12
24
hm
(ii)
5
...
ou
(i)
Answer(a)(i) ................................................ [1]
...
Answer(a)(ii) ................................................ [1]
(b) Here are the first four terms in a different sequence.
2
7
12
17
Ma
Find an expression for the nth term of this sequence.
Answer(b) ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/11/O/N/15
4
(a) Write the mathematical name under each of these triangles.
ss
am
2
8 cm
8 cm
8 cm
8 cm
8 cm
8 cm
12 cm
...............................
...............................
NOT TO
SCALE
12 cm
...............................
[3]
dE
(b)
2 cm
NOT TO
SCALE
5 cm
8 cm
(i)
Find the perimeter of this shape.
Answer(b)(ii) .............................
Ma
© UCLES 2015
Answer(b)(i) ......................................... cm [1]
Find the area of this shape.
Give the units of your answer.
hm
(ii)
ou
12 cm
0580/33/M/J/15
............... [3]
8
Indira makes a playground for children.
ss
am
5
(a) She borrows $40 000 for 5 years at a rate of 3.6% per year simple interest.
Calculate the total amount she will owe at the end of 5 years.
Answer(a) $ ............................................... [3]
(b) Bandhura works at the playground for 28 hours.
She is paid $15.85 per hour.
dE
Calculate the total amount Bandhura is paid.
Answer(b) $ ............................................... [1]
(c) To visit the playground each adult pays $1.25 and each child pays $3.50 .
One day 24 adults and 32 children visit the playground.
Answer(c) $ ............................................... [3]
hm
ou
Calculate how much they pay altogether.
(d) On another day 180 people visit the playground.
These people are in the ratio
adults : boys : girls = 3 : 2 : 7.
Ma
Calculate the numbers of adults, boys and girls.
© UCLES 2015
Answer(d) Adults = ...............................................
Boys = ...............................................
Girls = ............................................... [3]
0580/33/M/J/15
(e) The opening hours for the playground are shown below.
ss
am
9
Monday
Closed
Tuesday
08 30 to 17 15
Wednesday
08 30 to 17 15
Thursday
08 30 to 17 15
Friday
08 30 to 18 00
Saturday
08 30 to 17 15
Sunday
09 00 to 17 00
dE
Calculate the total number of hours that the playground is open in the week.
Answer(e) ...................................... hours [2]
(f)
Indira introduces a family ticket for $7.95 .
21 families buy this ticket.
Ma
hm
ou
By rounding both numbers to 1 significant figure, estimate how much Indira receives.
Show clearly how you worked out your estimate.
© UCLES 2015
0580/33/M/J/15
Answer(f) $ ............................................... [2]
[Turn over
10
The travel graph shows a journey of a train from A to C, stopping at B.
C
ss
am
6
125
100
75
dE
Distance
from A (km)
25
0
09 00
hm
A
ou
50
10 00
11 00
12 00
Time
(a) Write down the time that the train leaves A.
Answer(a) ............................................... [1]
Ma
(b) Write down the time that the train stops at B.
Answer(b) ............................................... [1]
(c) For how many minutes did the train stop at B?
© UCLES 2015
Answer(c) ........................................ min [1]
0580/33/M/J/15
11
ss
am
(d) Work out the average speed of the train between A and C.
Answer(d) ...................................... km/h [3]
(e) Another train leaves C at 09 50 and arrives at A at 11 40 without stopping.
It travels at a constant speed.
On the grid, draw the travel graph for this train.
(ii)
At what time do the two trains pass each other?
[1]
dE
(i)
Answer(e)(ii) ............................................... [1]
(f)
A ticket from A to C costs 2345 rupees.
The exchange rate is 1 rupee = $0.024 .
Answer(f) $ ............................................... [1]
0580/33/M/J/15
[Turn over
Ma
hm
ou
Calculate the cost of the ticket in dollars.
© UCLES 2015
12
(a)
The grid below shows the straight line L.
ss
am
7
y
15
10
–3
0
–1
–2
–5
L
dE
5
1
2
3
4
5
x
6
ou
The equation of the line L is y = 2x + c.
Find the value of c.
(b) (i)
Complete the table of values for
–3
y
(ii)
–1
8
2
On the grid, draw the graph of
y = x 2 – 3x – 2.
0
1
2
–4
–4
© UCLES 2015
3
4
5
2
8
6
[2]
y = x 2 – 3x – 2 for –3 ! x ! 6.
Write down the values of x where the line L intersects the curve
[4]
y = x 2 – 3x – 2.
Answer(b)(iii) x = .................... and x = .................... [2]
Ma
(iii)
–2
hm
x
Answer(a) c = ................................................ [1]
0580/33/M/J/15
8
(a) (i)
A = 4πr2
Work out the value of A when r = 5.6 .
Give your answer correct to 1 decimal place.
ss
am
13
Answer(a)(i) A = ............................................... [2]
(ii)
Simplify the expression.
2a – b + 5a – 3b
(iii)
Solve the equation.
dE
Answer(a)(ii) ............................................... [2]
x
=6
3
Answer(a)(iii) x = ............................................... [1]
(iv)
Solve the equation.
ou
x–2=9
Answer(a)(iv) x = ............................................... [1]
(b) Solve the simultaneous equations.
You must show all your working.
Ma
hm
2x + 3y = 4
3x – 4y = 23
© UCLES 2015
Answer(b) x = ...............................................
y = ............................................... [4]
0580/33/M/J/15
[Turn over
14
(a) Here are the first four terms of a sequence.
5
(i)
8
ss
am
9
11
14
Write down the next term in this sequence.
Answer(a)(i) ............................................... [1]
(ii)
Write down the rule for finding the next term of this sequence.
Answer(a)(ii) .............................................................................................................................. [1]
Find an expression for the nth term of this sequence.
dE
(iii)
Answer(a)(iii) ............................................... [2]
(iv)
Explain why the number 300 is not in this sequence.
Answer(a)(iv) ............................................................................................................................. [1]
ou
(b) Here are the first four terms of another sequence.
4
(ii)
11
16
Write down the next two terms in this sequence.
hm
(i)
7
Answer(b)(i) ..................... , ..................... [2]
Write down the rule for continuing this sequence.
Ma
Answer(b)(ii) .............................................................................................................................. [1]
© UCLES 2015
0580/33/M/J/15
2
4
(a)
3
0
2
9
From the list above, write down
(i) the factors of 24,
5
7
ss
am
1
Answer(a)(i) ................................................ [1]
(ii) a prime factor of 24,
Answer(a)(ii) ................................................ [1]
(iii) the highest common factor (HCF) of 56 and 91,
(iv) the square root of 49,
dE
Answer(a)(iii) ................................................ [1]
Answer(a)(iv) ................................................ [1]
(v) the cube root of 27.
Answer(a)(v) ................................................ [1]
ou
(b) (i) Using four numbers from the list in part (a), form the largest 4-digit number.
Answer(b)(i) ................................................ [1]
(ii) Write your answer to part (b)(i) in words.
hm
Answer(b)(ii) ...............................................................................................................................
..................................................................................................................................................... [1]
(c) Find
(i) the common multiple of 5 and 8 between 100 and 150,
Ma
Answer(c)(i) ................................................ [1]
(ii) the square number between 350 and 390.
Answer(c)(ii) ................................................ [1]
__________________________________________________________________________________________
© UCLES 2015
0580/32/M/J/15
3
(a) Simplify.
ss
am
2
7e – 5f + 4e – f
Answer(a) ................................................ [2]
(b) Find the value of 8g – 9h when g = 5 and h = –3.
Answer(b) ................................................ [2]
(c) Solve the equation.
4x – 7 = 29
dE
Answer(c) x = ................................................ [2]
(d) Simplify.
k 4 ÷ k 11
Answer(d) ................................................ [1]
(e) Pens cost p cents and pencils cost w cents.
ou
(i) Aisha buys 3 pens and 5 pencils for $2.20 .
Complete the equation representing this cost in cents.
Answer(e)(i) 3p + 5w = ................................................ [1]
hm
(ii) Bishen buys 4 pens and 10 pencils for $3.50 .
Write down an equation representing this cost in cents.
Answer(e)(ii) .................................................................. [1]
Ma
(iii) Solve your equations to find the value of p and the value of w.
Answer(e)(iii) p = ................................................
w = ................................................ [3]
__________________________________________________________________________________________
© UCLES 2015
0580/32/M/J/15
[Turn over
4
(a) (i) Complete the table of values for y = 8 + 3x – x2.
x
0
y
8
1
2
3
10
8
ss
am
6
4
5
4
[2]
(ii) On the grid, draw the graph of y = 8 + 3x – x2 for 0 G x G 5.
y
12
dE
11
10
9
8
7
5
4
3
hm
2
ou
6
1
0
1
2
3
4
5
x
–1
–2
Ma
–3
–4
[3]
(iii) Write down the co-ordinates of the highest point of the graph.
© UCLES 2015
Answer(a)(iii) (...................... , ......................) [1]
0580/32/M/J/15
(b) (i) Complete the table of values for y =
x
1
y
12
12 .
x
2
3
4
ss
am
7
4
5
2.4
[2]
(ii) On the same grid, draw the graph of y =
12
for 1 G x G 5 .
x
(c) Use your graphs to write down the solutions of the equation 8 + 3x - x 2 =
[3]
12 .
x
Ma
hm
ou
dE
Answer(c) x = ...................... or x = ...................... [2]
__________________________________________________________________________________________
© UCLES 2015
0580/32/M/J/15
[Turn over
10
Khamisi is trying to reach the standard required for competing in an international athletics competition.
ss
am
6
(a) He arrives home from college at 16 15.
He divides his time before going to bed between training, studying and eating.
1
(i) He spends 3 4 hours training.
1
Show that 3 4 hours is equivalent to 195 minutes.
Answer(a)(i)
[1]
1
(ii) He spends 2 2 hours studying and 45 minutes eating.
dE
Work out the time he goes to bed.
Answer(a)(ii) ................................................ [2]
training : studying : eating.
ou
(iii) Find, in its simplest form, the ratio
Answer(a)(iii) Training : studying : eating = ................ : ................ : ................ [2]
(b) Khamisi divides his 195 minutes training into three sessions.
•
40% of the time on the running track
•
2
13 of the time with his trainer
the remaining time in the gym
hm
•
Calculate the time, in minutes, he spends
(i) on the running track,
Answer(b)(i) ......................................... min [1]
Ma
(ii) with his trainer,
Answer(b)(ii) ......................................... min [1]
(iii) in the gym.
© UCLES 2015
Answer(b)(iii) ......................................... min [1]
0580/32/M/J/15
11
ss
am
(c) Khamisi is a sprinter and he wants to qualify for the 200 metres race.
His best time is 22.5 seconds and the qualifying time is 20.7 seconds.
dE
Calculate the percentage decrease in his best time needed in order to reach the qualifying time.
Ma
hm
ou
Answer(c) ............................................ % [3]
__________________________________________________________________________________________
© UCLES 2015
0580/32/M/J/15
[Turn over
16
Nina is going on a holiday to Dubai from her home in Mumbai.
ss
am
9
(a) At the airport she buys 2 packets of sandwiches and 3 magazines.
Complete her shopping bill in Indian rupees.
2 packets of sandwiches at 325 rupees per packet = .......................... rupees
3 magazines at 75 rupees per magazine = .......................... rupees
Total = .......................... rupees
[3]
(b) She changed 10 000 rupees to dirhams when the exchange rate was 18.3 rupees = 1 dirham.
dE
How much did she receive?
Answer(b) .................................. dirhams [2]
(c) The flight from Mumbai to Dubai takes 2 hours 50 minutes.
The distance from Mumbai to Dubai is 1937 km.
Answer(c)(i)
ou
(i) Show that the average speed of the flight is 684 km / h, correct to the nearest whole number.
[2]
hm
(ii) Nina’s flight leaves Mumbai at 13 15.
1
The local time in Mumbai is 1 2 hours ahead of the local time in Dubai.
Find the time of arrival in Dubai.
Give your answer in the 24-hour clock.
Ma
Answer(c)(ii) ................................................ [2]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable
effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will
be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge International
Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after
the live examination series.
Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local
Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
© UCLES 2015
0580/32/M/J/15
1
(a) Write down
(i) two factors of 12,
ss
am
2
Answer(a)(i) .................................................. [1]
(ii) the next prime number after 19,
Answer(a)(ii) ................................................. [1]
(iii) the cube root of 64,
Answer(a)(iii) ................................................ [1]
(iv) two million five hundred and seven in figures,
Answer(a)(iv) ................................................ [1]
(v) two multiples of 75,
Answer(a)(v) ................................................. [1]
dE
(vi) the value of π correct to 5 significant figures.
(b) Write as a percentage.
(i) 1.63
Answer(a)(vi) ................................................ [1]
Answer(b)(i) .............................................. % [1]
3
40
Answer(b)(ii) ............................................. % [1]
ou
(ii)
(c) (i) Write 63 521.769 correct to 1 decimal place.
Answer(c)(i) .................................................. [1]
hm
(ii) Write 63 521.769 correct to the nearest hundred.
Answer(c)(ii) ................................................. [1]
(d) (i) Change 234 mm into metres.
Ma
Answer(d)(i) .............................................. m [1]
(ii) Change 876 m2 into square centimetres.
Answer(d)(ii) .......................................... cm2 [1]
__________________________________________________________________________________________
© UCLES 2015
0580/31/M/J/15
3
Sonia works in a toy shop.
(a) (i) One week she works for 30 hours and is paid $180.
Calculate the amount she is paid per hour.
ss
am
4
Answer(a)(i) $ ................................................. [1]
(ii) The next week Sonia works for 38 hours and is paid $220.
dE
Find the difference in her pay per hour for these two weeks.
Answer(a)(ii) $ ................................................. [2]
(b) The shop sells bags of 40 marbles.
One bag has marbles in the ratio red : blue : green = 1 : 3 : 4.
hm
ou
(i) Calculate the number of marbles of each colour.
Answer(b)(i) Red = ................ , blue = ................ , green = ................ [2]
(ii) A second bag of 40 marbles contains 11 red marbles, 9 blue marbles and 20 green marbles.
All the marbles from the two bags are mixed together.
Ma
Write down the ratio of marbles red : blue : green.
Give your answer in its simplest form.
© UCLES 2015
Answer(b)(ii) ............... : ............... : ............... [2]
0580/31/M/J/15
5
(i) Toby buys 3 boats and 4 trains for $5.70 .
Complete this equation.
3b + 4t = ..............
ss
am
(c) Thilo and Toby buy some boats and trains from the toy shop.
The cost of one boat is b cents and the cost of one train is t cents.
[1]
(ii) Thilo buys 1 boat and 2 trains for $2.40 .
Write this information as an equation.
......................................... = .......................
[2]
ou
dE
(iii) Solve your two equations to find the cost of a boat and the cost of a train.
You must show all your working.
Answer(c)(iii) Cost of a boat = ....................................... cents
hm
Cost of a train = ....................................... cents [3]
(d) Train track costs 99 cents per 20 cm.
Ma
Calculate the cost of buying 3.4 metres of train track.
Answer(d) $ ................................................ [3]
__________________________________________________________________________________________
© UCLES 2015
0580/31/M/J/15
[Turn over
10
ss
am
7
40
Cawley
35
30
Distance from
Audley (km)
20
15
10
ou
Brookland
dE
25
5
0
09 00
hm
Audley
09 30
10 00
Time
10 30
11 00
Ma
The grid shows the travel graph for a train travelling from Audley to Cawley, stopping at Brookland.
© UCLES 2015
0580/31/M/J/15
11
ss
am
(a) (i) Between which two towns is the train journey fastest?
Give a reason for your answer.
Answer(a)(i) From ........................................... to .......................................... is fastest because
..................................................................................................................................................... [1]
(ii) Calculate the speed of the train, in kilometres per hour, between Brookland and Cawley.
dE
Answer(a)(ii) ....................................... km/h [2]
(b) When the train reaches Cawley, it waits for 10 minutes.
It then returns to Audley without stopping at Brookland.
The return speed of the train is 70 km/h.
(i) Complete the travel graph for this train.
[2]
ou
(ii) Write down the time this train arrives at Audley.
Answer(b)(ii) ................................................ [1]
(c) Trains leave Audley for Cawley every 100 minutes.
The first train of the day is the 09 00 train.
hm
Write down the time that the fourth train leaves Audley for Cawley.
Ma
Answer(c) ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/31/M/J/15
[Turn over
(c)
F
ss
am
13
NOT TO
SCALE
45 cm
27 cm
G
H
FGH is a right-angled triangle.
Calculate
dE
(i) GH,
(i) GH = .......................................... cm [3]
ou
(ii) the perimeter of the triangle,
(ii) .......................................... cm [1]
(iii) the area of the triangle.
Ma
hm
(iii) ......................................... cm2 [2]
__________________________________________________________________________________________
© UCLES 2015
0580/31/M/J/15
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9
(a) (i) Complete the table of values for y = –x2 + 5x .
x
–1
y
–6
0
1
2
3
4
ss
am
14
4
5
4
0
6
[2]
(ii) On the grid, draw the graph of y = –x2 + 5x for –1 ! x ! 6 .
y
7
6
4
3
2
1
–2
–1 0
1
2
3
4
5
6
x
ou
–1
dE
5
–2
–3
hm
–4
–5
–6
[4]
(b) Write down the co-ordinates of the highest point on the graph.
Ma
Answer(b) (...................... , ......................) [1]
© UCLES 2015
0580/31/M/J/15
(c) Use your graph to solve the equation –x2 + 5x = –3.
ss
am
15
Answer(c) x = ....................... or x = ....................... [2]
(d) (i) On the grid, draw the line of symmetry for the graph.
[1]
(ii) Write down the equation of the line of symmetry for the graph.
Answer(d)(ii) ................................................ [1]
(iii) The curve passes through the points (–10, –150) and (k, –150).
dE
Use the symmetry of the curve to find the value of k.
Ma
hm
ou
Answer(d)(iii) k = ................................................ [1]
__________________________________________________________________________________________
© UCLES 2015
0580/31/M/J/15
2
What is the value of the digit 7 in 43 782?
ss
am
1
Answer ................................................ [1]
__________________________________________________________________________________________
2
OT TO
SCALE
124
x
dE
Find the value of x.
Answer x = ................................................ [1]
__________________________________________________________________________________________
3
Write 0.88 as a fraction in its simplest form.
4
ou
Answer ................................................ [2]
__________________________________________________________________________________________
Ahmed and Babar share 240 g of sweets in the ratio 7 : 3.
hm
Calculate the amount Ahmed receives.
Answer ............................................. g [2]
__________________________________________________________________________________________
5
Factorise completely.
Ma
9x2 – 6x
Answer ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/13/M/J/15
3
The mass of a car is 1400 kg correct to the nearest hundred kilograms.
ss
am
6
Complete the statement about the mass, m kilograms, of the car.
Answer .................. ! m < .................. [2]
__________________________________________________________________________________________
7
OT TO
SCALE
5 cm
dE
x
2 cm
Calculate the value of x.
8
(a) Work out.
ou
Answer x = ................................................ [2]
__________________________________________________________________________________________
(–6) – (–8)
Answer(a) ................................................ [1]
(b) Write in the missing number.
hm
–3 × ........... = 18
[1]
__________________________________________________________________________________________
9
Use your calculator to work out
4.22 + 5.82 ,
Answer(a) ................................................ [1]
Ma
(a)
(b)
3
42.875 .
Answer(b) ................................................ [1]
__________________________________________________________________________________________
© UCLES 2015
0580/13/M/J/15
[Turn over
13 James buys a drink for 2 euros (€).
ss
am
5
Work out the cost of the drink in pounds (£) when £1 = €1.252 .
Give your answer correct to 2 decimal places.
Answer £ ................................................ [3]
__________________________________________________________________________________________
18 ÷ 9.
7
5
dE
14 Without using a calculator, work out
ou
Show all your working and give your answer as a fraction in its lowest terms.
hm
Answer ................................................ [3]
__________________________________________________________________________________________
15 Solve the equation.
Ma
3(x + 4) = 2(4x – 1)
Answer x = ................................................ [3]
__________________________________________________________________________________________
© UCLES 2015
0580/13/M/J/15
[Turn over
Ma
ss
am
dE
ou
hm
6
Write 64% as
(a) a decimal,
ss
am
3
Answer(a) ................................................ [1]
(b) a fraction in its simplest form.
Answer(b) ................................................ [1]
__________________________________________________________________________________________
7
Expand the brackets and simplify.
dE
5(x – 3) – 3(x – 5)
Answer ................................................ [2]
__________________________________________________________________________________________
8
Write the following in order of size, starting with the smallest.
3–2
2
17
0.011
ou
0.11
Answer ..................... < ..................... < ..................... < ..................... [2]
smallest
9
hm
__________________________________________________________________________________________
A biased 4-sided dice is rolled.
The possible scores are 1, 2, 3 or 4.
The probability of rolling a 1, 3 or 4 is shown in the table.
Score
1
2
Probability
0.15
3
4
0.3
0.35
Ma
Complete the table.
[2]
__________________________________________________________________________________________
© UCLES 2015
0580/12/M/J/15
[Turn over
4
ss
am
10 Factorise completely.
3x2y – 5xyz
Answer ................................................ [2]
__________________________________________________________________________________________
11
B
A
NOT TO
SCALE
dE
C
D
E
The diagram shows two straight lines, AE and BD, intersecting at C.
Angle ABC = angle EDC.
Triangles ABC and EDC are congruent.
Write down two properties of line segments AB and DE.
ou
Answer AB and DE are ...............................................
and ............................................... [2]
__________________________________________________________________________________________
12 Without using a calculator, work out 5 ÷ 2 3 .
4
2
Ma
hm
Write down all the steps of your working and give your answer as a fraction in its simplest form.
Answer ................................................ [3]
__________________________________________________________________________________________
© UCLES 2015
0580/12/M/J/15
6
ss
am
14 Bernard invests $480 at a rate of 4.5% per year compound interest.
Calculate the amount he receives at the end of 3 years.
dE
Answer $ ................................................ [3]
__________________________________________________________________________________________
15 A random sample of 200 families was taken from the families in a city.
The number of children in each family was recorded.
The results are shown in the table below.
Number of children
in a family
0
Number of families
25
1
2
3
4
5 or more
41
73
42
13
6
ou
(a) Find the relative frequency of families with 2 children.
Answer(a) ................................................ [1]
(b) There are 5400 families in the city.
hm
Find an estimate of the number of families with 2 children.
Ma
Answer(b) ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/12/M/J/15
11
Month
Jan
Feb
Mar
Apr
May
Jun
Temperature (°C)
–4
–3
2
8
13
17
(a) Which month is the coldest?
ss
am
21 The average monthly temperatures (°C) in Silvas, Turkey, are shown in the table below.
Jul
Aug
Sep
Oct
Nov
Dec
19
20
16
11
8
–1
Answer(a) ................................................ [1]
dE
(b) Work out the difference between the temperature in November and the temperature in December.
Answer(b) ........................................... °C [1]
ou
(c) Find the median temperature.
Answer(c) ........................................... °C [2]
hm
(d) Calculate the mean temperature.
Give your answer correct to 2 significant figures.
Ma
Answer(d) ........................................... °C [3]
__________________________________________________________________________________________
© UCLES 2015
0580/12/M/J/15
1
There are 31 days in January.
January 21st 2015 was a Wednesday.
What day of the week was February 8th 2015?
ss
am
2
Answer ................................................ [1]
__________________________________________________________________________________________
2
The temperature in Berlin is –7 °C and the temperature in Istanbul is –3 °C.
dE
(a) Write down how many degrees colder it is in Berlin than it is in Istanbul.
Answer(a) ........................................... °C [1]
(b) Sydney is 23 degrees warmer than Berlin.
Write down the temperature in Sydney.
3
ou
Answer(b) ........................................... °C [1]
__________________________________________________________________________________________
(a) A mass of 300 kg is increased by 8%.
hm
Work out the increase in mass.
Answer(a) ........................................... kg [1]
(b) Nelson scores 27 out of 40 in a history test.
Ma
Work out his score as a percentage.
Answer(b) ............................................ % [1]
__________________________________________________________________________________________
© UCLES 2015
0580/11/M/J/15
3
The total mass of 38 spoons is 1824 g.
ss
am
4
Work out the mass of 53 spoons.
Answer ............................................. g [2]
__________________________________________________________________________________________
5
Prince Charming invests $3000 for 5 years at a rate of 4% per year simple interest.
dE
Calculate the total interest he will receive.
6
ou
Answer $ ................................................. [2]
__________________________________________________________________________________________
Using a ruler and compasses only, construct a triangle with sides 5 cm, 6 cm and 7 cm.
hm
The 5 cm side has been drawn for you.
Ma
[2]
__________________________________________________________________________________________
© UCLES 2015
0580/11/M/J/15
[Turn over
11
A
N TT
SCALE
11.2 cm
37°
B
ss
am
6
dE
Calculate AB.
C
A
AB = .......................................... cm [2]
__________________________________________________________________________________________
ou
12 (a) Write down the co-ordinates of the point where the line
= 3 + 5 crosses the -axis.
A
(...................... , ......................) [1]
hm
(b) Write down the equation of a line that is parallel to the line = 3 + 5.
Ma
A
................................................ [1]
__________________________________________________________________________________________
© UCLES 2015
0580/11/M/J/15
13 (a) Factorise.
3w2 – 2w
ss
am
7
Answer(a) ................................................ [1]
(b) Expand and simplify.
x (2x + 3) + 5(x – 7)
dE
Answer(b) ................................................ [2]
__________________________________________________________________________________________
14 Six donkeys are each given two 5 ml spoons of medicine three times each day.
ou
Calculate the number of whole days a 2 litre bottle of medicine will last.
Answer ........................................ days [3]
__________________________________________________________________________________________
15 A cuboid has volume 288 cm3.
hm
(a) The cuboid has length 12 cm and width 5 cm.
Calculate the height of the cuboid.
Answer(a) .......................................... cm [2]
Ma
(b) 1 cm3 of the cuboid has a mass of 4 g.
Work out the mass of the cuboid.
Answer(b) ............................................. g [1]
__________________________________________________________________________________________
© UCLES 2015
0580/11/M/J/15
[Turn over
16 Without using a calculator, work out
15 ÷ 7.
4
3
ss
am
8
Show all your working and give your answer as a fraction in its lowest terms.
Answer ................................................ [3]
__________________________________________________________________________________________
dE
17 (a) Write 82 600 in standard form.
Answer(a) ................................................ [1]
(b) Calculate
6.02 # 10 8 - 5 # 10 6 .
3 # 10 6
ou
Give your answer in standard form.
Answer(b) ................................................ [2]
__________________________________________________________________________________________
18 Solve the equation.
Ma
hm
5(3y – 2) = 35
Answer y = ................................................ [3]
__________________________________________________________________________________________
© UCLES 2015
0580/11/M/J/15
9
ss
am
19 In this question use a ruler and compasses.
A
B
D
C
and
•
more than 2 cm from AD
•
more than 4 cm from B.
dE
Shade the region inside rectangle ABCD that is
[3]
__________________________________________________________________________________________
2,
20 (a)
3,
6,
11,
18,
...
(i) Write down the next two terms in this sequence.
A
(i) ....................... , ....................... [2]
A
ou
(ii) Describe, in words, the rule for continuing this sequence.
(ii) ............................................................................................................................... [1]
(b) The th term of a different sequence is 4 – 3.
hm
Work out the first three terms in this sequence.
Ma
A
....................... , ....................... , ....................... [1]
__________________________________________________________________________________________
© UCLES 2015
0580/11/M/J/15
[Turn over
10
ss
am
21 (a) Write 30 as a product of its prime factors.
Answer(a) ................................................ [2]
(b) Find the lowest common multiple (LCM) of 30 and 45.
22
B
dE
Answer(b) ................................................ [2]
__________________________________________________________________________________________
E
8 cm
y cm
x cm
6 cm
C
D
ou
A
10 cm
N TT
SCALE
cm
F
Triangle ABC is similar to triangle DEF.
Calculate the value of
Answer(a) x = ................................................ [2]
Ma
(b) y.
hm
(a) x,
Answer(b) y = ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/11/M/J/15
(c) The shop sells potatoes in bags A, B and C.
5 kg
$1.74
8 kg
$2.75
BAG A
BAG B
20 kg
$6.92
BAG C
dE
Work out which bag is the best value.
You must show all your working.
ss
am
5
ou
Answer(c) ................................................ [3]
(d) The price of plums is $2.40 per kilogram.
Olga reduces this price by 35%.
hm
Calculate the new price per kilogram.
Ma
Answer(d) $ ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/32/F/M/15
[Turn over
7
ss
am
(b) This graph can be used to convert between pounds (lb) and kilograms (kg).
50
45
40
35
30
Kilograms (kg) 25
15
10
5
0
10
20
dE
20
30
40
50
60
70
80
90
100
110
ou
Pounds (lb)
Use the graph to convert
(i) 50 pounds to kilograms,
Answer(b)(i) ........................................... kg [1]
Ma
hm
(ii) 275 kilograms to pounds.
Answer(b)(ii) ............................................. lb [2]
__________________________________________________________________________________________
© UCLES 2015
0580/32/F/M/15
[Turn over
5
(a) (i) Complete the table of values for y = x2 + x – 4.
x
–4
–3
y
–2
–1
–2
–4
0
ss
am
10
1
2
3
–2
8
[2]
(ii) On the grid, draw the graph of y = x2 + x – 4 for - 4 G x G 3.
y
8
7
6
dE
5
4
3
2
ou
1
–4
–3
–2
–1
0
1
2
3
x
–1
–2
hm
–3
–4
–5
[4]
(b) (i) Write down the co-ordinates of the lowest point of the graph.
Ma
Answer(b)(i) ( ..................... , ..................... ) [1]
(ii) Write down the equation of the line of symmetry of the graph.
© UCLES 2015
Answer(b)(ii) ................................................ [1]
0580/32/F/M/15
(c) Use your graph to solve the equation x2 + x – 4 = –3.
ss
am
11
Answer(c) x = ..................... or x = ..................... [2]
(d)
y
3
2
1
–3
–2
–1
1
0
2
3
x
dE
–4
–1
–2
–3
–4
ou
–5
–6
–7
L
hm
(i) In the diagram, a line L has been drawn on a 1 cm2 grid.
Write down the equation of the line L.
Give your answer in the form y = mx + c.
Answer(d)(i) y = ................................................ [2]
Ma
(ii) Find the area of the shaded triangle.
Answer(d)(ii) ......................................... cm2 [1]
__________________________________________________________________________________________
© UCLES 2015
0580/32/F/M/15
[Turn over
(e) The diagram shows a triangle.
B
NOT TO
SCALE
11 m
A
ss
am
13
C
8m
(i) Calculate the length AB.
dE
Answer(e)(i) AB = ............................................ m [3]
(ii) Use trigonometry to calculate angle ACB.
Answer(e)(ii) Angle ACB = ................................................ [2]
ou
(f)
NOT TO
SCALE
hm
The diameter of the large circle is 13 cm.
The radius of the small circle is 2 cm.
Ma
Calculate the shaded area.
Answer(f) ......................................... cm2 [4]
__________________________________________________________________________________________
© UCLES 2015
0580/32/F/M/15
[Turn over
15
(a) A pattern of calculations is shown below.
ss
am
8
Complete the last four rows.
–
12
=
4×2
42
–
22
=
4×3
52
–
32
=
62
–
.........
=
4×4
×
...............
102 –
.........
=
×
...............
.........
=
4 × 100
.........
=
4×n
.........
–
.........
–
dE
32
[5]
(b) These are the first five terms in a sequence.
7
11
15
ou
3
19
(i) Write down the next term in the sequence.
Answer(b)(i) ................................................ [1]
hm
(ii) Write down an expression for the nth term.
Answer(b)(ii) ................................................ [2]
(iii) Work out the 57th term.
Answer(b)(iii) ................................................ [1]
Ma
(iv) Is the number 237 a term in the sequence?
Give a reason for your answer.
Answer(b)(iv) .......................... because .....................................................................................
..................................................................................................................................................... [2]
__________________________________________________________________________________________
© UCLES 2015
Question 9 is printed on the next page.
0580/32/F/M/15
[Turn over
4
ss
am
11 The volume, V, of a cylinder with radius r and height h is V = πr2h.
Calculate the volume of a cylinder with radius 7 cm and height 8 cm.
Answer ......................................... cm3 [2]
__________________________________________________________________________________________
12 $760 is invested for 3 years at a rate of 4.5% per year simple interest.
dE
Work out the total interest at the end of the 3 years.
Answer $ ................................................ [2]
__________________________________________________________________________________________
13 (a) Simplify
(ii) m4 × m3.
(b) Solve 5x3 = 40 .
ou
(i) x0,
Answer(a)(i) ................................................ [1]
Answer(a)(ii) ................................................ [1]
hm
Answer(b) x = ................................................ [1]
__________________________________________________________________________________________
14 Ahmed, Batuk and Chand share $1000 in the ratio 8 : 7 : 5.
Ma
Calculate the amount each receives.
Answer Ahmed $ ................................................
Batuk $ ................................................
Chand $ ................................................ [3]
__________________________________________________________________________________________
© UCLES 2015
0580/12/F/M/15
6
8
14
36
47
50
130
ss
am
6
17
From the list of numbers, write down one number for each of the following.
(a) An odd number.
Answer(a) ................................................ [1]
(b) A square number.
Answer(b) ................................................ [1]
(c) A factor of 70.
Answer(c) ................................................ [1]
(d) A multiple of 26.
Answer(d) ................................................ [1]
__________________________________________________________________________________________
18 (a) Solve the simultaneous equations.
You must show all your working.
dE
4x + 2y = 31
6x – 2y = 34
ou
Answer(a) x = ................................................
y = ................................................ [2]
(b) Factorise 14p2 + 21pq.
hm
Answer(b) ................................................ [2]
__________________________________________________________________________________________
19 Idris has c toy cars.
Fadl has twice as many cars as Idris.
Baasim has three more cars than Fadl.
(a) Write down an expression, in terms of c, to complete each statement.
Fadl has ....................................... cars.
Ma
Baasim has ....................................... cars.
[2]
(b) Write down an expression, in terms of c, for the total number of cars the three children have.
Give your answer in its simplest form.
Answer(b) ................................................ [2]
__________________________________________________________________________________________
© UCLES 2015
0580/12/F/M/15
7
(a) Work out how far Ravi cycles from home to the bank.
ss
am
20 Ravi cycles from home to the bank.
It takes him 15 minutes, cycling at a constant speed of 14 km/h.
Answer(a) .......................................... km [1]
(b) Ravi stays at the bank for 18 minutes.
He then cycles home at a constant speed for 12 minutes.
Draw the travel graph to show Ravi’s journey since he left home.
dE
4.5
4
3.5
3
Distance
2.5
(km)
1.5
1
0.5
0
5
10
hm
Ravi’s home
ou
2
15
20
25
30
35
40
45
50
Time (minutes)
Ma
[3]
__________________________________________________________________________________________
© UCLES 2015
Question 21 is printed on the next page.
0580/12/F/M/15
[Turn over