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E1.10 Bounds
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.10 Bounds
Question Paper
10 minutes
Time Allowed:
Score:
/8
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Lanying sells potatoes in bags.
Each bag contains 5 kg of potatoes, correct to the nearest 0.1 kg.
Complete the statement about the mass, m kilograms, of potatoes in each bag.
............................. G m 1 ............................. [2]
2
Whisper is a horse.
(a) Whisper eats three apples every day.
Work out how many apples she eats in 52 weeks.
.................................................. [1]
(b) Whisper is exercised twice a day.
The first time is for 30 minutes.
The second time is for 1 12 hours.
(i) Write down the fraction of a day that Whisper is exercised.
Write your answer in its simplest form.
.................................................. [2]
(ii) Write down the fraction of a day that she is not being exercised.
.................................................. [1]
(c) Whisper weighs 429 kg, correct to the nearest kilogram.
Complete the statement about her weight, w kg.
........................  w  ........................ [2]
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E1.1 Integers, HCF/LCM, Prime
Numbers, Rational/Irrational
Numbers, Sig Figs, Dec Places
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.1 Integers, HCF/LCM, Prime numbers,
Rational/Irrational Numbers, Sig Figs, Dec Places
Question Paper
Booklet
90 minutes
Time Allowed:
Score:
/75
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Find the lowest common multiple (LCM) of 36 and 48.
2
(a) 3
6
19
20
24
27
30
32
................................................... [2]
35
36
48
49
51
From this list of numbers write down
(i)
a factor of 15,
(ii)
a multiple of 18,
(iii)
an odd square number,
(iv)
a cube number.
(b) Write as a percentage.
(i)
0.43
(ii)
1
2
(c) Write
28
in its lowest terms.
42
.................................................. [1]
.................................................. [1]
.................................................. [1]
.................................................. [1]
...............................................% [1]
...............................................% [1]
.................................................. [1]
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(d) (i)
(ii)
3
Write 45 as a product of its prime factors.
.................................................. [2]
.................................................. [2]
Find the highest common factor (HCF) of 45 and 105.
Write 3.5897 correct to 4 significant figures.
.................................................. [1]
4
(a) Here are five number cards.
1
2
6
7
8
Place two cards side-by-side to show
(i)
a two-digit multiple of 7,
[1]
(ii)
a two-digit square number,
[1]
(iii)
a two-digit cube number,
[1]
(iv)
a two-digit prime number.
[1]
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(b)
2
5.85
4.12
r
Write down all the numbers in this list that are irrational.
.................................................. [1]
(c) Put one pair of brackets into this calculation to make it correct.
7 × 5 – 2 + 3 = 42
[1]
(d) Work out.
(i)
3
0.729
.................................................. [1]
(ii)
54
.................................................. [1]
(iii)
4−2
.................................................. [1]
(e)
(i)
Write 60 as a product of its prime factors.
.................................................. [2]
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(ii)
Find the lowest common multiple (LCM) of 36 and 60.
.................................................. [2]
5
Write in figures the number nine million eighty two thousand five hundred and seven.
.................................................. [1]
6
Write 71 496 correct to 2 significant figures.
.................................................. [1]
7
2
3
–4
–6
–8
From the list of numbers, write down
(a) three numbers whose sum is –12,
................. , ................. , ................. [1]
(b) two numbers whose product is –24.
........................... , ........................... [1]
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8
(a) For the integers from 40 to 70, write down
(i)
a multiple of 19,
.................................................. [1]
(ii)
a common multiple of 6 and 8,
.................................................. [1]
(iii)
the square root of 2500,
.................................................. [1]
(iv)
a factor of 106,
.................................................. [1]
(v)
an odd number where the tens digit is double the units digit,
.................................................. [1]
(vi)
a number that is both a square number and a cube number,
.................................................. [1]
(vii)
a number that has exactly 3 factors,
.................................................. [1]
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(viii)
three prime numbers.
................ , ................ , ................ [2]
(b) Write 234 as a product of its prime factors.
.................................................. [2]
(c) Write the answer to 34 × 37
(i)
in the form 3x,
(ii)
as an integer,
(iii)
in standard form.
(d) (i)
.................................................. [1]
.................................................. [1]
.................................................. [1]
Write 3−2 as a fraction.
.................................................. [1]
(ii)
Find the value of 3x0 when x = 5.
.................................................. [1]
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9
Write down, in figures, seventeen thousand and seventeen.
................................................... [1]
10
(a) Write 6789 correct to the nearest 100.
(b) Write 6789 correct to 3 significant figures.
11
................................................... [1]
................................................... [1]
(a) Write 2016 as the product of prime factors.
................................................... [3]
(b) Write 2016 in standard form.
................................................... [1]
__________________________________________________________________________________________
12
The temperature in Berlin is –7 °C and the temperature in Istanbul is –3 °C.
(a) Write down how many degrees colder it is in Berlin than it is in Istanbul.
Answer(a) ........................................... °C [1]
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(b) Sydney is 23 degrees warmer than Berlin.
Write down the temperature in Sydney.
Answer(b) ........................................... °C [1]
__________________________________________________________________________________________
13 Six donkeys are each given two 5 ml spoons of medicine three times each day.
Calculate the number of whole days a 2 litre bottle of medicine will last.
Answer ........................................ days [3]
14 (a) Write 30 as a product of its prime factors.
Answer(a) ................................................ [2]
(b) Find the lowest common multiple (LCM) of 30 and 45.
Answer(b) ................................................ [2]
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15
(a) Write down
(i) two factors of 12,
(ii) the next prime number after 19,
(iii) the cube root of 64,
(iv) two million five hundred and seven in figures,
(v) two multiples of 75,
(vi) the value of π correct to 5 significant figures.
Answer(a)(i) .................................................. [1]
Answer(a)(ii) ................................................. [1]
Answer(a)(iii) ................................................ [1]
Answer(a)(iv) ................................................ [1]
Answer(a)(v) ................................................. [1]
Answer(a)(vi) ................................................ [1]
(b) Write as a percentage.
(i) 1.63
(ii)
3
40
Answer(b)(i) .............................................. % [1]
Answer(b)(ii) ............................................. % [1]
(c) (i) Write 63 521.769 correct to 1 decimal place.
Answer(c)(i) .................................................. [1]
(ii) Write 63 521.769 correct to the nearest hundred.
Answer(c)(ii) ................................................. [1]
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(d) (i) Change 234 mm into metres.
Answer(d)(i) .............................................. m [1]
(ii) Change 876 m2 into square centimetres.
Answer(d)(ii) .......................................... cm2 [1]
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E1.11 Ratios (Inc Scales)
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.11 Ratios (Inc Scales)
Question Paper
18 minutes
Time Allowed:
Score:
/15
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
A wildlife park covers an area of 18 hectares.
(a) The 18 hectares is divided between enclosures, paths and buildings in the ratio
enclosures : paths : buildings = 11 : 14 : 5.
(i)
Show that the area for enclosures is 6.6 hectares.
[1]
(ii)
Calculate the area for paths and the area for buildings.
Paths .................................. hectares
Buildings .................................. hectares [2]
(b) Of the 6.6 hectares for enclosures,
7
is for mammals and 30% is for reptiles.
11
Calculate the area for mammals and the area for reptiles.
Mammals .................................. hectares
Reptiles .................................. hectares [2]
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(c) The table shows the opening times of the wildlife park.
Days
(i)
Opening times
Monday to Friday
09 30 to 17 15
Saturday and Sunday
10 00 to 18 30
Work out how long, in hours and minutes, the wildlife park is open on a Wednesday.
................... h ................... min [1]
(ii)
Calculate the total time, in hours and minutes, that the wildlife park is open in one week.
................... h ................... min [2]
(d) This table shows the ticket prices for the wildlife park.
Adult
$11.00
Senior (age 65 and over)
$9.25
Child (age 4 to 16)
$7.50
Child (age 3 and under)
Free
Mr Lu visits the wildlife park with his wife, their children (aged 6 and 2)
and his parents (both aged 67).
(i)
Work out the total cost of the tickets for this visit.
$ .................................................. [2]
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(ii)
Mr Lu has a voucher for the wildlife park that reduces the total cost of the tickets to $42.
Calculate the percentage saving.
..............................................% [3]
2
The total mass of 38 spoons is 1824 g.
Work out the mass of 53 spoons.
Answer ............................................. g [2]
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E1.12 Percentages
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.12 Percentages
Question Paper
5 minutes
Time Allowed:
Score:
/4
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
From a sample of 80 batteries, 3 are faulty.
Work out the percentage of faulty batteries.
............................................. % [1]
2
Work out $216 as a percentage of $600.
...............................................% [1]
__________________________________________________________________________________________
3
(a) A mass of 300 kg is increased by 8%.
Work out the increase in mass.
Answer(a) ........................................... kg [1]
(b) Nelson scores 27 out of 40 in a history test.
Work out his score as a percentage.
Answer(b) ............................................ % [1]
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E1.13 Using a Calculator
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.13 Using a Calculator
Question Paper
6 minutes
Time Allowed:
Score:
/5
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Calculate (2.1 − 0.078)17, giving your answer correct to 4 significant figures.
................................................... [2]
2
Calculate.
17.85 - 7.96
18 - 3.5 2
.................................................. [1]
3
Use your calculator to work out
8.2 2 - 52.48 .
7.38 - 6.18
................................................... [1]
4
There are 31 days in January.
January 21st 2015 was a Wednesday.
What day of the week was February 8th 2015?
Answer ................................................ [1]
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E1.14 Time
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.14 Time
Question Paper
18 minutes
Time Allowed:
Score:
/15
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
A train leaves Zurich at 22 40 and arrives in Vienna at 07 32 the next day.
Work out the time taken.
..................... h ..................... min [1]
2
(a) Here is part of a bus timetable.
(i)
Town Hall
10 15
10 35
10 55
11 15
City Gate
10 32
10 52
11 12
11 32
Beacon Hill
10 58
11 18
11 38
11 58
Kingswood Park
11 10
11 30
11 50
12 10
Yana leaves home at 10 50.
She takes 14 minutes to walk to the bus stop at City Gate.
At what time does she reach the bus stop?
.................................................. [1]
(ii)
She gets on the next bus to Kingswood Park.
At what time does this bus arrive at Kingswood Park?
.................................................. [1]
(iii)
Work out how many minutes the bus takes to get from City Gate to Kingswood Park.
........................................... min [1]
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(b) Ivan walks 1.5 km from his home to Kingswood Park.
He takes 20 minutes.
Work out Ivan’s average speed in kilometres per hour.
......................................... km/h [1]
(c) The scale drawing shows a map of Kingswood Park.
There are two straight paths and one circular path.
The scale is 1 centimetre represents 200 metres.
North
North Gate
East Gate
West Gate
Scale: 1 cm to 200 m
South Gate
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(i)
Yana walks along the straight path from East Gate to West Gate.
Work out the distance she walks.
Give your answer in kilometres.
............................................ km [2]
(ii)
Measure the bearing of South Gate from North Gate.
.................................................. [1]
(iii)
The entrance to a children’s play area, P, is 500 metres from North Gate on a bearing of 195°.
Mark the position of P on the map.
[2]
(iv)
Ivan runs around the circular path once.
Calculate the distance Ivan runs.
.............................................. m [4]
3
Find the number of minutes between 17 53 and 7.26 pm.
............................................ min [1]
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E1.15 Currency Conversions
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.15 Currency Conversions
Question Paper
7 minutes
Time Allowed:
Score:
/6
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Change 60 000 metres to kilometres.
........................................... km [1]
2
Omar changes 2000 Saudi Arabian riyals (SAR) into euros (€) when the exchange rate is €1 = 5.087 SAR.
Work out how much Omar receives, giving your answer correct to the nearest euro.
€ .................................................. [2]
3
Jamal changes 800 Chinese Yuan into dollars.
The exchange rate is $1 = 6.24 Chinese Yuan.
Calculate the number of dollars he receives.
Give your answer correct to the nearest dollar.
$ .................................................. [3]
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E1.16 Finance Problems
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.16 Finance Problems
Question Paper
60 minutes
Time Allowed:
Score:
/50
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Paul and Mary go on a 14 night cruise in the Mediterranean.
(a) The price of the cruise is $237 per person per night.
A tax of 6% is added to this price.
Find the total amount Paul and Mary pay for this cruise.
$ .................................................. [3]
(b) At a port Mary buys 2 bottles of sun cream.
Each bottle costs $7.89 .
Work out the change she receives from $20.
$ .................................................. [2]
(c) Paul and Mary leave the ship at 09 23 to tour Pisa.
3
The tour lasts for 6 hours.
4
Find the time when the tour finishes.
.................................................. [2]
(d) The ship leaves at 18 40 to sail to the next port.
It sails 270 km at an average speed of 32.4 km/h.
Find the time when the ship arrives.
.................................................. [3]
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(e) There are 1800 passengers on the ship.
They are in the ratio males : females = 5 : 4.
Work out the number of male passengers.
.................................................. [2]
2
Sonia earns $8.12 for each hour she works.
She works for 35 hours each week.
Work out how much she earns each week.
3
$ .................................................. [1]
This is a graph for converting between dollars ($) and pounds (£).
60
50
40
Pounds
(£)
30
20
10
0
20
40
60
Dollars ($)
80
100
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(a) Use the graph to convert $80 to pounds.
£ .................................................. [1]
(b) Daniyar changes £100 to dollars.
Work out how many dollars he receives.
$ .................................................. [2]
4
Apples cost $1.12 for each kilogram.
Calculate the cost of 4.5 kilograms of apples.
$ ................................................... [1]
5
(a) A farmer has 45 horses and 20 cows.
(i) Write this as a ratio horses : cows.
Give your answer in its simplest form.
........................ : ........................ [1]
(ii) The farmer wants the ratio horses : cows to equal 5 : 3.
He keeps his 45 horses but buys some more cows.
Work out the number of cows he must buy.
.................................................. [2]
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(b) Three years ago the farmer invested $3750 at a rate of 4% per year compound interest.
(i) Calculate the total value of his investment after the 3 years.
$ .................................................. [3]
(ii) The farmer wants to spend his investment on buying goats.
Goats cost $126 each.
Work out the maximum number of goats he can buy and how much money is left over.
Number of goats ....................................................
Amount of money left over $ .................................................. [4]
(c) The farmer grows carrots.
In 2014 the selling price for carrots was $96 per tonne.
In 2015 this selling price increased by 18%.
Work out the increase in the selling price from 2014 to 2015.
$ .................................................. [1]
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(d) The farmer has 20 female sheep.
Each sheep has 0, 1, 2 or 3 lambs.
The table shows this information.
Number
of lambs
Number of
sheep
0
1
1
4
2
12
3
3
(i) Calculate the mean number of lambs per sheep.
.................................................. [3]
(ii) The farmer takes 1 lamb away from each of the sheep with 3 lambs.
These lambs are given to 3 of the 4 sheep that have 1 lamb.
Complete the table after the farmer has done this.
Number
of lambs
Number of
sheep
0
1
2
3
0
[2]
(iii) Explain why the mean number of lambs per sheep does not change.
....................................................................................................................................................... [1]
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6
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.
Answer(a)(i) $ ................................................. [1]
(ii) The next week Sonia works for 38 hours and is paid $220.
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.
(i) Calculate the number of marbles of each colour.
Answer(b)(i) Red = ................ , blue = ................ , green = ................ [2]
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(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.
Write down the ratio of marbles red : blue : green.
Give your answer in its simplest form.
Answer(b)(ii) ............... : ............... : ............... [2]
(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.
(i) Toby buys 3 boats and 4 trains for $5.70 .
Complete this equation.
3b + 4t = ..............
[1]
(ii) Thilo buys 1 boat and 2 trains for $2.40 .
Write this information as an equation.
......................................... = .......................
[2]
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(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
Cost of a train = ....................................... cents [3]
(d) Train track costs 99 cents per 20 cm.
Calculate the cost of buying 3.4 metres of train track.
Answer(d) $ ................................................ [3]
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E1.17 Exponential Growth &
Decay (Inc Compound Interest)
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.17 Exponential Growth & Decay(Inc
Compound Interest)
Question Paper
Booklet
6 minutes
Time Allowed:
Score:
/5
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Cheng invested $4500 at a rate of 3.5% per year compound interest.
Calculate the total amount he has after 3 years.
$ .................................................. [3]
__________________________________________________________________________________________
2
Prince Charming invests $3000 for 5 years at a rate of 4% per year simple interest.
Calculate the total interest he will receive.
Answer $ ................................................. [2]
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E1.3 Square and Cube Numbers
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.3 Square and Cube Numbers
Question Paper
7 minutes
Time Allowed:
Score:
/6
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Find the cube root of 4913.
.................................................. [1]
2
(a) Write down the value of 170.
................................................... [1]
(b) Explain why 17 is irrational.
.............................................................................................................................................................. [1]
3
16
19
For each part of this question, write down one number from the list that is
(a) a multiple of 7,
................................................... [1]
(b) both a square number and a cube number,
................................................... [1]
(c) a prime number.
................................................... [1]
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E1.5 Converting between
Percentages, Fractions and
Decimals
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.5 Converting between Percentages, Fractions
and Decimals
Question Paper
Booklet
4 minutes
Time Allowed:
Score:
/3
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Complete the table.
Fraction
1
2
Decimal
=
0.5
=
0.25
3
10
=
2
25
=
[3]
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E1.6 Order by Size
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.6 Order by Size
Question Paper
4 minutes
Time Allowed:
Score:
/3
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Write these numbers in order of size, starting with the smallest.
0.304
0.2
0.008
0.57
..................... < ..................... < ..................... < ..................... [1]
smallest
2
Write the following in order of size, starting with the smallest.
0.239
0.057
23.85%
11
46
..............................  ..............................  ..............................  .............................. [2]
smallest
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E1.7 Standard Form
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.7 Standard Form
Question Paper
4 minutes
Time Allowed:
Score:
/3
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Write 1.27 × 10–3 as an ordinary number.
...................................................[1]
2
(a) Write 2 600 000 in standard form.
.................................................. [1]
(b) Write 5.8 × 10–3 as an ordinary number.
.................................................. [1]
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E1.8
Addition/Subtraction/Multiplica
tion/Division of Fractions &
Decimals
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E1. Number
E1.8Addition/Subtraction/Multiplication/Division
of Fractions & Decimals
Question Paper
Booklet
24 minutes
Time Allowed:
Score:
/20
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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116
Without using a calculator, work out
6
2
'1 .
7
3
Show all your working and give your answer as a fraction in its lowest terms.
................................................... [3]
2
Calculate.
3.07 + 2 4
5.03 - 1.79
.................................................. [1]
3
5 3
Without using a calculator, work out 2 # 7 .
8
Show all your working and give your answer as a mixed number in its lowest terms.
.................................................. [3]
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11
4
Without using a calculator, work out
1
1
#1 .
5
12
Show all your working and give your answer as a fraction in its lowest terms.
.................................................. [2]
5
In each part, fill in the missing number to make a correct statement.
(a) ^-6 + 11h # ................ = - 20
(b)
18
6
[1]
7 = ...........
8
176
Without using your calculator, work out
[1]
7
13
+ 20
.
1 12
You must show all your working and give your answer as a mixed number in its simplest form.
................................................... [3]
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7 Without using a calculator, work out
16
15 ÷ 7.
4
3
Show all your working and give your answer as a fraction in its lowest terms.
Answer ................................................ [3]
__________________________________________________________________________________________
8 (a) Write 82 600 in standard form.
Answer(a) ................................................ [1]
(b) Calculate
6.02 # 10 8 - 5 # 10 6 .
3 # 10 6
Give your answer in standard form.
Answer(b) ................................................ [2]
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E2.1 Using Algebra to Solve
Problems
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E2. Algebra and Graphs
E2.1 Using Algebra to solve problems
Question Paper
14 minutes
Time Allowed:
Score:
/12
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
Simplify.
(a) 3f + 4f – 2f
.................................................. [1]
(b) g3 × g5
2
(a)
.................................................. [1]
p = 4r − 3t
(i)
Calculate the value of p when r = 5 and t = −6.
p = .................................................. [2]
(ii)
Make r the subject of the formula p = 4r − 3t.
r = .................................................. [2]
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(b) Expand the brackets and simplify.
4(3x − 2) − 3(x − 5)
.................................................. [2]
(c) Factorise completely.
12ab − 20a2
.................................................. [2]
3
Rearrange the formula to make w the subject.
5w - 3y + 7 = 0
w = ................................................. [2]
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E2.3 Algebraic Fractions
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E2. Algebra and Graphs
E2.3 Algebraic Fractions
Question Paper
2 minutes
Time Allowed:
Score:
/2
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
y=
qx
p
Write x in terms of p, q and y.
x = .................................................. [2]
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E2.5 Quadratic Equations
Question Paper
Level
Subject
Exam Board
Level
Topic
Sub-Topic
Booklet
IGCSE
Maths (0580)
Cambridge International Examinations (CIE)
Core
E2. Algebra and Graphs
E2.5 Quadratic Equations
Question Paper
8 minutes
Time Allowed:
Score:
/7
Percentage:
/100
Grade Boundaries:
A*
A
B
C
D
E
U
>85%
75%
60%
45%
35%
25%
<25%
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1
(a) Factorise completely.
18x 2 - 24x
................................................... [2]
(b) Expand the brackets.
x ^3x - 4h
................................................... [2]
2
(a) Factorise.
3w2 – 2w
Answer(a) ................................................ [1]
(b) Expand and simplify.
x (2x + 3) + 5(x – 7)
Answer(b) ................................................ [2]