Math Past checkpoint 2

3

3 Here is a shape drawn on a grid.

(a) Name the shape. [1]
(b) Draw a parallelogram by joining dots on this grid.

[1]

4 Jamila’s birthday is on 7 August.

July August
SMTWT F S SMTWT F S

123456 123
7 8 9 10 11 12 13 4 5 6 7 8 9 10
14 15 16 17 18 19 20 11 12 13 14 15 16 17
21 22 23 24 25 26 27 18 19 20 21 22 23 24
28 29 30 31 25 26 27 28 29 30 31

Angelique is two weeks older than Jamila.
When is Angelique’s birthday?

[1]

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4
5 Here is a shape drawn on a centimetre square grid.

Find the area of the shape.

6 Write the same digit in each box to make the calculation correct. cm2 [1]
2 ×16=41 [1]

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5

7 Class 6 run the school snack shop.

They record how many fruits they sell in a week on both a pictogram and a bar
chart.

Sales in a week 100 Sales in a week
represents 20 sold
apples 90 apples bananas oranges pears peaches
bananas 80 Fruit
oranges
pears 70
peaches Number 60
sold

50

40
30
20

10
0

The charts are not complete.

Each chart only shows the information for 3 fruits.

Complete the charts so they show the same information. [2]

8 Yuri calculates 5226 – 1301 using a number line.
Here is his working.

–1000

5226

Complete the boxes on the number line.

[2]

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6

9 Here is a number sequence.

–21 –16 –11 –6

(a) Write the next two numbers in the sequence. [1]
[1]
(b) Write down the rule for this sequence.
[1]
10 Here is a jug of water.

2 litres

1 litre

400 ml of water is added to the jug.
Draw a line to show the new level of water.

© UCLES 2020 0845/02/O/N/20

7
11 A van carries a maximum load of 250 kg.

A chair has a mass of 4 kg.
What is the greatest number of these chairs that can be carried in the van?

12 Here are five numbers. 0.65 chairs [1]

6.05 56.0 5.60 6.5

Write them in order starting with the smallest.

smallest largest
13 Calculate 20% of $401.25
[1]

$ [1]

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14 Here is a school notice. 8

Football practice
Saturday

Start: 9.50 am
Finish: 12.15 pm

How long is the football practice?

15 Complete the following. [1]
[1]
5 × 12 = ×5×

© UCLES 2020 0845/02/O/N/20

9

16 Rajiv thinks of a number.

It is less than 50
It is a multiple of 4
It is a multiple of 6
The digit in the units is a 6

What is the number?

[1]

17 Here are six numbers.

213.41 213.49 213.45 213.31 213.44 213.39

Draw a ring around each number that is 213.4 when rounded to the nearest tenth.
[1]

18 Find a 2-digit number less than 86 that is a factor of 86

[1]

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10

19 Here are four bags of balls. Bag B
Bag A

Bag C Bag D

Blessy takes a ball from each bag without looking. .
Complete this sentence.
The likelihood of taking a black ball is the same as
the likelihood of taking a white ball in bag

[1]

© UCLES 2020 0845/02/O/N/20

11

20 Manjit knows two number facts.

78 × 5 = 390

78 × 3 = 234

Show how Manjit could use both of these facts to calculate 78 × 13

21 What is the value of the digit 4 in these numbers? [1]
3.04 [1]
7.41

© UCLES 2020 0845/02/O/N/20 [Turn over

12
22 Here is a shape plotted on a coordinate grid.

y
C3

B2

1

D–3 –2 –1 0 1 2 3x
A –1
–2

–3

(a) Write the coordinates of point C.

( , ) [1]
, ) [1]
(b) The shape is reflected in the y-axis.

Write the coordinates of the reflection of point D.
(

23 Here is part of a number line. 20
0

A [1]
What is the value of A?

© UCLES 2020 0845/02/O/N/20

13

24 Here are four digit cards.

2345
Use each card once to make this statement correct.

9<5 < 3

[1]

25 Carlos lives 100 km from Cambridge.
5 miles is approximately 8 kilometres

What is the distance in miles?

miles [1]

26 Here are ten cards.
Each card has two numbers written on it.
Draw rings around all the cards where the two numbers total 10

5.5 8.3 4.5 5.5 7.4 2.6 3.6 9.9

9.1 0.9 2.7 7.3

6.3 5.7 9.8 1.2 1.6 8.4 4.4 6.6

[2]

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14
27 A water cooler holds 20 litres when full.

The graph shows the amount of water in the water cooler during
one day.

At 6 am the water cooler is full.

Graph to show amount of water in a water cooler

20 8am 10am 12pm 2pm 4pm 6pm 8 pm 10 pm
Time of day
16

12
Amount
of water 8
in litres 4

0
6am

(a) How much water is in the water cooler at 10 am?

litres [1]

(b) What happens to the water cooler at 6 pm?

[1]

© UCLES 2020 0845/02/O/N/20

15
28 Draw a line to join each improper fraction to the correct place on the number line.

The first one has been done for you.

37 35 11
22 84

12345
[2]

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16

29 Here are two identical rectangles. 8 cm
8 cm

5 cm 5 cm

Not drawn to scale
The rectangles are placed on top of each other to make a new shape.

3 cm

5 cm

Not drawn to scale
Find the area of the new shape.
Show your working.

cm2 [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
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.

Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.

© UCLES 2020 0845/02/O/N/20

Cambridge Primary Checkpoint

 MATHEMATICS 0845/01
Paper 1 April 2021
45 minutes

You must answer on the question paper.

You will need: Protractor
Tracing paper (optional)

INSTRUCTIONS

• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You are not allowed to use a calculator.

INFORMATION
• The total mark for this paper is 40.
• The number of marks for each question or part question is shown in brackets [ ].

This document has 16 pages. Any blank pages are indicated.

IB21 05_0845_01/5RP [Turn over
© UCLES 2021

2 [1]
1 Write the missing number in the box. [1]
[1]
+ 650 = 1000

2 Complete these calculations.
30 + 80 + 60 =

40 + + 30 = 200

3 Here are four digit cards.
4625

Use each of the digits once to make a total that is a multiple of ten.
+

© UCLES 2021 0845/01/A/M/21

3

4 (a) There are 205 students in one year group in a school.
97 are boys.

Write how many are girls.

girls [1]

(b) There are 223 students in another year group.
Classrooms can have a maximum of 30 students.

Write how many classrooms are needed for this year group.

classrooms [1]

© UCLES 2021 0845/01/A/M/21 [Turn over

4
5 Round these values to the nearest dollar.

$7.57 $

$12.49 $

6 A rectangle has an area of 35 cm2. [1]
The width of the rectangle is 5 cm. cm [1]

Write the length of the rectangle.

© UCLES 2021 0845/01/A/M/21

5

7 Here are 4 bags of beads.
Each bag has white and black beads.

bag A bag B bag C bag D

A bead is selected from each bag without looking.

Write a letter to make these statements true.
Bag has an even chance of picking a black bead.
Bag has the best chance of picking a black bead.
Bag has the best chance of picking a white bead.

[2]

8 Draw a line to join each activity to the best unit of time to measure it.

fly from London to New York seconds

run a hundred metres minutes

sail from London to New York hours

cycle three kilometres days

[2]

© UCLES 2021 0845/01/A/M/21 [Turn over

6

9 Carlos has five number cards.

The mode of the five cards is 1

The sum of the five cards is 11

Write the missing number on each card.

23

10 Write how many millimetres there are in 15.5 centimetres. [2]
mm [1]

11 Here is some flour on the scales.

500
400 grams 100

300 200

Write the mass of the flour.

g [1]

© UCLES 2021 0845/01/A/M/21

7
12 Here is a recipe for leek and potato soup.

leek and potato soup
serves 6

700 g leeks

375 g potatoes

850 ml stock

121 tablespoons cream
65 g butter

Eva makes soup for 12 people.
Complete the list of ingredients.

leek and potato soup
serves 12

g leeks
g potatoes
ml stock
tablespoons cream
g butter

[2]

© UCLES 2021 0845/01/A/M/21 [Turn over

8 [1]
13 Here is a right angled triangle on a square grid.

y
10
9
8
7
6
5
4
3
2
1
0x

0 1 2 3 4 5 6 7 8 9 10
The right angled triangle is translated 2 squares right and 1 square down.
Draw the right angled triangle in its new position.
Use a ruler.

© UCLES 2021 0845/01/A/M/21

9 [1]
14 Match each fraction to an equivalent percentage.

1 3%
2

7%
3
100 30%

50%
7
10 70%

15 The top number in this diagram is the sum of the two numbers below.

30

12 18 12 + 18 = 30

Complete this diagram using the same rule.

6005 4218
3997

[2]

© UCLES 2021 0845/01/A/M/21 [Turn over

10
16 A train leaves at quarter past eight in the evening.

Write the time using the 24-hour clock system.

17 Draw a ring around all the multiples of 25 in the table. [1]
535 900 765 [1]
350 185 260
815 430 675 [2]

18 Here are four numbers. 35.2 36.4 38.7
33.9

Use each number once to make these statements correct.
< 36.2

72.6 = +

> 35.1

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11

19 Write 13 as a mixed number. [1]
8 400 hundreds

20 Here are five number cards.

40 hundreds 40 tens

400 units 400 tens

Draw lines to match cards with the same value. [1]
[2]
21 Complete the following.
0.7 × 7 =

4.8 ÷ 6 =

120 × 0.4 =

© UCLES 2021 0845/01/A/M/21 [Turn over

12
22 Here is a shape on a 5 mm squared grid.

(a) Write the area of the shape in cm2. cm2 [1]
cm [1]
(b) The shape is the net of a cube.
Write the length of one edge of the cube in cm. [2]

23 Hassan finds the product of two multiples of 10
The answer is 2400
List all the calculations that give his answer.

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13

24 Here is an incomplete calculation.

+ =1 0 0 0

Use only the digits 3, 6 and 7 to complete this calculation. [1]
Each digit can be used more than once.

25 The line graph shows the average temperature in Athens for 8 months.

Average temperature in Athens
30

25

20

15
Average
temperature
°C

10

5

0
Oct Nov Dec Jan Feb Mar Apr May
Months

Naomi wants to visit Athens in a month when the average temperature is higher
than 20°C.

List all the months she could choose.

[1]

© UCLES 2021 0845/01/A/M/21 [Turn over

14

26 Three 2-digit numbers are added together.
The total is 60
The largest number is nine multiplied by three.
The smallest number is a multiple of 6

Write the three numbers.

[1]

27 Pierre and Yuri each think of a different number.
Yuri says,

We double our numbers.
My answer is 16 more than
Pierre’s answer.

Pierre’s number is 23
Work out Yuri’s number.

[1]

© UCLES 2021 0845/01/A/M/21

28 Here is a number line. 15
AB

0 10 000
Estimate what number is shown by arrow A.

Draw an arrow to show the number 500 less than the number shown by arrow B.
[2]

29 Safia says,

You can solve the problem
16 x 34 by multiplying 34 by
10 and by 6, then adding the

two answers.

Use Safia’s method to calculate 16 × 9
You must show your working.

[1]

© UCLES 2021 0845/01/A/M/21

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.

To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.

Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.

© UCLES 2021 0845/01/A/M/21

Cambridge Primary Checkpoint

 MATHEMATICS 0845/02
Paper 2 April 2021
45 minutes

You must answer on the question paper.

You will need: Protractor
Tracing paper (optional)

INSTRUCTIONS

• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You may use a calculator.

INFORMATION
• The total mark for this paper is 40.
• The number of marks for each question or part question is shown in brackets [ ].

This document has 16 pages. Any blank pages are indicated.

IB21 05_0845_02/6RP [Turn over
© UCLES 2021

2

1 Write 12 in its simplest form.
16

2 Write a whole number in the box to make the statement correct. [1]
rounded to the nearest 10 is 360 [1]

3 Write a number in each box to make all the fractions equivalent to 1 [1]
2

4

10
1
2

3

4

4 Four oranges are needed to make a glass of fresh orange juice.
Gabriella makes 24 glasses of orange juice.

Write how many oranges she needs.

oranges [1]

© UCLES 2021 0845/02/A/M/21

3

5 Here are some numbers.

12 14 16 42 80 96

Use each one of these numbers to make the statements correct.

1 of =
5

1 of =
3

1 of =
8

6 Complete the partitioning of the number 604 375 [2]
[1]
604 375 = + 4000 + 300 + +5
[1]
7 Use the symbols >, < or = to complete the following.

1 whole turn 3 right angles
1 right angle 90°
2 right angles
120°

© UCLES 2021 0845/02/A/M/21 [Turn over

4

8 Here are three number balances.
Each side of a number balance has the same answer.

Write the missing number in the box to complete each number balance.

215 + 36 136 +

– 158 179 + 287

36.6 + 95.5 – 16.7

[2]

9 Write in figures the number six hundred and ninety thousand, four hundred and
two.

[1]

© UCLES 2021 0845/02/A/M/21

5

10 Jamila and Lily both count the number of pieces of fruit sold at their school shop in
one week.
They each produce a graph of their results.

Jamila’s graph Lily’s graph
25 50

20 40

number sold
number sold
15 30

10 20

5 10

0 pears bananas apples oranges 0 pears bananas apples oranges
fruit fruit

(a) One of the girls made a mistake when counting the number of fruit sold.

Write which fruit has different scores on the two graphs.

[1]

(b) The shop sold 70 pieces of fruit altogether.
Put a cross () to show which graph is not correct.

Jamila’s graph Lily’s graph

Write a calculation to explain your answer.

[1]

© UCLES 2021 0845/02/A/M/21 [Turn over

6 [1]
11 Put brackets ( ) into this calculation to make it correct. [1]

3 × 15 + 25 – 4 = 116

12 Write a common multiple of 4 and 5 between 50 and 90

13 Draw a ring around all the numbers that equal 10 when rounded to the nearest
whole number.

9.48 10.2 9.6 10.53 9.51

[1]

14 Write two factors of 48 that have a difference of 13

and [1]

15 Here is a square grid.
Shade two more squares to make a pattern that has two lines of symmetry.

[1]

© UCLES 2021 0845/02/A/M/21

7

16 A triangular stamp creates a print with 1 shaded.
5

Not drawn to scale

The stamp is used to create a square logo.

Not drawn to scale

Write what fraction of the logo is shaded. [1]
17 Here are four images from nature.

Tick () the pictures that have at least 1 line of symmetry.

© UCLES 2021 0845/02/A/M/21 [1]

[Turn over

8 [2]
18 The rule for a sequence is double and subtract one.

Write the missing numbers.

13 25 49

19 Mia fills three containers from a bottle of water.

1 1 l 1 l 0.05 l Not drawn to scale
4 2

Write how much water she uses altogether.
Give your answer in litres.

l [1]

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9 13 12
20 Mike measures the temperature at midday for two weeks.

Here are his results in °C.

10 12 9 14 12 12 14 15 12 10 11 16

Complete these statements.

The range of the temperatures is °C

The mode of the temperatures is °C
[2]

21 Some tourists visit a town.
The Carroll diagram shows what they did in one afternoon.

Visited the museum Visited the river Did not visit the river
Did not visit the museum 38 12
42 5

Write how many tourists visited one place only.

[1]

© UCLES 2021 0845/02/A/M/21 [Turn over

10
22 Draw the reflection of the shape in the mirror line.

mirror line

[1]

23 Here is a Venn diagram.

polygons regular shapes

Write the letter of each shape in the correct place on the diagram.

A BC D

© UCLES 2021 0845/02/A/M/21 [1]

11 [1]
24 The diameter of a coin is 19.05mm.

Coins are laid end to end to make a line of 1 kilometre.

Draw a ring around the approximate number of coins required.
50
500

5000
50 000
500 000

25 Here is a shape drawn on a dotted grid.

C

Rotate the shape 90° clockwise about point C.
Draw its new position.
Use a ruler.

© UCLES 2021 0845/02/A/M/21 [2]

[Turn over

12

26 Find the perimeter of this shape.
Give your answer in cm.

27 Complete the following. cm [1]
60 × 40 = 30 × [2]

400 × 30 = 20 ×

50 × = 30000

© UCLES 2021 0845/02/A/M/21

13
28 Here are four sides of a heptagon made by joining dots on spotty paper.

Complete the shape.

29 Match each calculation to the correct answer. [1]
[2]
23 ÷ 3 7r1
39 ÷ 5 7r2
52 ÷ 7 7r3
60 ÷ 8 7r4
7r5

© UCLES 2021 0845/02/A/M/21 [Turn over

14 [1]
30 Anastasia and Angelique each think of a two-digit number. [1]

The numbers are not multiples of 25
The difference between the numbers is a multiple of 25
Their numbers are in the list below.
Draw a ring around all the numbers they could be thinking of.

17 23 47 50 68 75 98

31 One kilogram is approximately 2.2 pounds (lb).
Oliver has 5 lb of apples.
Rajiv has 3 kg of oranges.
Chen has 6 lb of bananas.
Draw a ring around the best estimate for the total mass of the fruit.
5 kg 6 kg 7 kg 8 kg 9 kg

© UCLES 2021 0845/02/A/M/21

15

32 Here is a number square.

There are counters on all the multiples of six.

12345
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25

Ahmed looks at the square and says,
‘Multiples of six are always one less than a prime number.’

Is he right?
Yes No
Explain how you know.

[1]

© UCLES 2021 0845/02/A/M/21

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.

To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.

Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.

© UCLES 2021 0845/02/A/M/21