1
For
Teacher's
Use
45 minutes
Mathematics Paper 2
For Teacher's Use
Page
Stage 5
Mark
1
2
Name ………………………………………………….……………………….
3
4
Additional materials: Ruler
Calculator
5
READ THESE INSTRUCTIONS FIRST
6
Answer all questions in the spaces provided on the question paper.
7
You should show all your working on the question paper.
8
The number of marks is given in brackets [ ] at the end of each question
or part question.
9
10
The total number of marks for this paper is 40.
11
12
13
14
Total
V1
© UCLES 2011
P840/02/A/M/11
[Turn over
2
1
Put a ring round the number fifty thousand and five.
5005
50 005
500 005
For
Teacher's
Use
5 000 005
[1]
2
Put a ring round all the numbers that are greater than 0.5
0.7
0.13
0.4
0.08
0.67
[1]
3
Measure the length of the shortest side of the triangle to the nearest
millimetre.
mm
© UCLES 2011
P840/02/A/M/11
[1]
3
4
For
Teacher's
Use
Here is a graph showing when Stage 5 students have their birthdays.
18
16
14
12
10
frequency
8
6
4
2
0
jan, feb, mar
apr, may, jun
jul, aug, sep
oct, nov, dec
month of birthday
(a) How many students are there in Stage 5?
students
[1]
(b) An equal number of students have birthdays in October, November and
December.
How many students have a birthday in December?
students
© UCLES 2011
P840/02/A/M/11
[1]
[Turn over
4
5
Cara puts a cake in the oven at
For
Teacher's
Use
10:25
It cooks for 40 minutes.
What time does it finish cooking?
[1]
6
Here is a quadrilateral drawn on a square grid.
The quadrilateral is translated three squares to the right.
Draw the quadrilateral after it has been translated.
[1]
7
Round 14.95 to the nearest whole number.
[1]
© UCLES 2011
P840/02/A/M/11
5
8
9
For
Teacher's
Use
Complete these sentences.
3556 is
rounded to the nearest 10
3556 is
rounded to the nearest 100
3556 is
rounded to the nearest 1000
[2]
Here are some measurements.
55 mm
5 cm
5m
55 cm
Write them in order of size starting with the smallest.
smallest
largest
[1]
10 Hugo is thinking of a number.
He says
Half my number is 16
What is double his number?
[1]
© UCLES 2011
P840/02/A/M/11
[Turn over
6
11 The numbers in this sequence increase by 50 each time.
A
+50
+50
60
+50
110
+50
For
Teacher's
Use
160
+50
...
(a) What number goes in box A?
[1]
(b) What is the first number greater than 1000 that is in this sequence?
[1]
12 The table shows the mass of some fruits.
Complete the table.
Mass in grams
Mass in kilograms
mango
2
bag of apples
1.4
bag of cherries
0.5
[2]
© UCLES 2011
P840/02/A/M/11
7
For
Teacher's
Use
13 Here are four labels.
odd
multiple of 5
not odd
not a multiple of 5
Write the labels in the empty boxes on the Carroll diagram.
10
4
20
5
16
7
15
11
[2]
14 Here are four shapes on a square grid.
B
A
D
C
Write the missing letters.
(a) Shape
has exactly two pairs of parallel sides.
[1]
(b) Shape
has two pairs of perpendicular sides.
[1]
© UCLES 2011
P840/02/A/M/11
[Turn over
8
15 A dice is rolled 18 times.
For
Teacher's
Use
Here are the results.
Number
1
2
3
4
5
6
Frequency
2
5
1
4
3
3
What number is the mode?
[1]
16 Cara says
When you halve an even
number the answer is
always an odd number.
Is she right?
Yes / No
Explain how you know.
[1]
© UCLES 2011
P840/02/A/M/11
9
For
Teacher's
Use
17 Here is a string of grey and white beads.
What fraction of the beads are grey?
[1]
18 Plants are sold in trays. Each tray holds 12 plants.
12 plants
Hugo wants 160 plants.
How many trays must he buy?
trays
© UCLES 2011
P840/02/A/M/11
[1]
[Turn over
10
19 Use these signs.
=
<
For
Teacher's
Use
>
Write the correct signs in the boxes.
10 000
one million
half a million
50 000
[1]
20 2 is a factor of both 12 and 18
Write two more numbers, greater than 1, that are factors of both 12 and 18
[1]
21 Write two numbers that make this sentence correct.
(
÷
) + 8 = 10
[1]
22 Cara, Hugo and Karim take part in a race.
Cara finishes in 15 seconds.
Hugo finishes 4 seconds before Cara.
Karim finishes 3 seconds after Hugo.
How long does Karim take to finish the race?
seconds
© UCLES 2011
P840/02/A/M/11
[1]
11
For
Teacher's
Use
23 Find the area of the rectangle.
8 cm
4.5 cm
NOT TO
SCALE
cm2
[1]
24 Calculate.
(a) (37 + 59) × (67 – 19) =
[1]
(b) (37 + 59) ÷ (67 – 19) =
[1]
© UCLES 2011
P840/02/A/M/11
[Turn over
12
25 Hugo has some bags with some black beads and some white beads inside.
For
Teacher's
Use
He takes a bead from each bag without looking.
bag A
bag B
bag C
bag D
Complete each statement.
(a) It is impossible for Hugo to take a black bead from bag
[1]
(b) It is unlikely that Hugo will take a white bead from bag
[1]
26 AB is a straight line.
x°
A
40°
23°
NOT TO
SCALE
B
Work out the size of angle x.
Do not measure the angle.
°
© UCLES 2011
P840/02/A/M/11
[1]
13
For
Teacher's
Use
27 Draw lines to join each box to the correct amount.
amount
50% of 40
10
12
14
10% of 120
16
18
100% of 16
20
[2]
© UCLES 2011
P840/02/A/M/11
[Turn over
14
28 Here are two graphs showing the attendance in Class 5 during one week.
Graph A
For
Teacher's
Use
30
25
20
number
of
students
15
10
5
0
mon
tue
wed
thu
fri
day of the week
Graph B
30
25
20
number
of
students
15
10
5
0
mon
tue
wed
thu
fri
day of the week
Karim says
Graph B is not an
appropriate way to show
this information.
His teacher agrees with him.
Explain why Karim is correct.
[1]
© UCLES 2011
P840/02/A/M/11
15
For
Teacher's
Use
29 Cara makes a fruit drink using apples and oranges.
For every 1 apple she uses 3 oranges.
She uses 20 fruits altogether.
How many oranges does she use?
Show your working.
oranges
[2]
30 Put a digit in each box to make the number sentence correct.
Use only the digits 1, 3 and 5
×5=
[1]
© UCLES 2011
P840/02/A/M/11
[Turn over
16
BLANK PAGE
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.
University of 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 2011
P840/02/A/M/11