CONTENTS


















The number system
2D shape and pattern
Numbers and Sequences
Averages
Addition and Subtraction
3D shapes
Fractions, decimals and percentages
Probability
Addition and Subtraction of Fractions
Angles
Multiplication and Division
Data
Ratio and Proportion
Area and Perimeter
Multiplying and dividing fractions and decimals
Time
Number and the laws of arithmetic
Position and Direction
Stage 5|JS GLOBAL Math WORKBOOK
1 to 4
5 to 10
11 to 14
15 to 19
20 to 24
25 to 31
32 to 36
37 to 43
44 to 47
48 to 53
54 to 57
58 to 67
68 to 72
73 to 80
81 to 84
85 to 89
90 to 94
95 to 101
1
Unit 1-The Number System
Topics Covered:


Understanding Place Value
Rounding Decimal numbers
1. Below are the numbers:
28, -128, -28
Write two numbers from above with a total of 0
Write two numbers from above with a total of -100
2. Draw a ring around the number closest to the value -1
3. Write the number that is one hundred times greater than 42: ………………
4. Ana chooses a 4-digit number. The digits are all odd. The digits are all
different. Her number rounds to 1500 when rounded to the nearest 100. Write
the largest number that Ana could choose
5. Write the numbers in order from smallest to largest
6. Fill in the below boxes correctly
Stage 5|JS GLOBAL Math WORKBOOK
2
7. The distance around the equator is 40, 075 kilometers.
8. Answer below:
9. Write three different prime numbers with a total of 25
10. Write two different prime numbers with a total of 25
11. Draw a line to join each improper fraction to the correct position on the
number line
Stage 5|JS GLOBAL Math WORKBOOK
3
12. Solve below:
13. Diagram shows part of a number grid:
14. Write these numbers in words and digits:
Stage 5|JS GLOBAL Math WORKBOOK
4
Unit 2-2D Shape and Pattern
Topics Covered:


Triangles
Symmetry
1. Tick all the isosceles triangles from the below:
2. Below is a shape of square and pentagon




Select all the answers that are true below:
Both the shapes are polygon
Both shapes have right angles
Both shapes have parallel sides
Both shapes are regular
3. Eva has 9 square tiles. She joins all her square tiles to make a large square
as shown:
Stage 5|JS GLOBAL Math WORKBOOK
5
4. Tick all the names of the kids who can join all of their square tiles to make a
large square
5. Jamilia says “I can join all of my square tiles to make a different large
square. How many tiles does Jamilia has?
6. Safia builds shapes with tiles. The number of tiles in each shape makes a
number sequence
How many tiles does Safia add to the 3rd shape to make the 4th shape
Answer.......................... tiles
How many tiles are in the 7th shape?
Answer..................... Tiles
Stage 5|JS GLOBAL Math WORKBOOK
6
7. Here are some dots on the 2 grids of squares. Join the dots to make a
different isosceles triangle on each grid
8. Here is a 1 cm dotted grid.
Join the dots to make a triangle with only one line of symmetry
9. Here is a shape made of symmetry.
Question: Shade four more squares so that the shape has exactly 2 lines of
symmetry
Stage 5|JS GLOBAL Math WORKBOOK
7
10. Here is a shape made of equilateral triangles:
Question: Shade 4 more triangles so that the shape has exactly 2 lines of
symmetry.
11. Here is the net of an open cube drawn on a squared paper.
Angela wants to add one extra square to make the net of a closed cube.
Shade three different squares that Ana could choose.
12. Mia makes a cube from this net:
Tick the face that is opposite to the star when the cube is made
13. Here is an octagon:
Stage 5|JS GLOBAL Math WORKBOOK
8
Ana draws two straight lines inside the octagon to make two triangles and a
third shape.
Both lines start and finish at vertex
The lines do not cross
4 squares right and 6 squares up
2 squares right and 4 squares up
4 squares left and 2 squares up
2 squares left and 4 squares down
Write the name of the third shape Ana makes inside the octagon
14. Here is a rectangle made with squares and shaded squares. Draw any line
of symmetry on the rectangle
15. Naomi has 100 square tiles. She uses all of her tiles to make two squares
Write the number of tiles she uses for both squares
Tile 1 ……………………
Tile 2 ……………………
16. Draw the below pattern:
Stage 5|JS GLOBAL Math WORKBOOK
9
17. Here is a square dotty grid
Stage 5|JS GLOBAL Math WORKBOOK
10
Unit 3-Numbers and Sequences
Topics Covered:



Counting and Sequences
Square and Triangular numbers
Prime and Composite numbers
1.
The below sequence decreases by the same amount each time. Write
the missing number
………, 41, 29, 17, 5, ………
2.
A portion of the below shape is shaded.
Write a number to complete the below sequence:
2 in every ............................Squares are shaded
3.
Here is a list of symbols:
Write one symbol from above for the below question to complete each
statement
4.
Lily uses these cards to make a 3-digit number
The nearest multiple of 10 to all lily’s number is 350
Write all the possible 3-digits numbers Lily makes:
…………………………………………………………………………………………
………………
Stage 5|JS GLOBAL Math WORKBOOK
11
5.
Answer the below question:
6.
Here is a part of a sequence on a number line. The sequence
increases by the same number each time. Fill the boxes:
7.
Here is a part of the sequence. The sequence continues in the same
way. Write the next number in the sequence box.
8.
Complete the below sequence
9.
Here is a rule to create a sequence. “add 2 to the previous number and
multiply the answer by 7”. If the first number of the sequence is 4.9,
find the third term and show your work below:
Stage 5|JS GLOBAL Math WORKBOOK
12
10.
Write a decimal number between 2 and 3 which has exactly 3 tenths
and 5 hundreds.
11.
Carlos counts back from 10 in steps of 3.
Samira counts back from 5 in steps of 5.
Write the first number that they both say
12.
Answer the below question:
Pierre counts back in 3s starting at 20.
Write down two numbers 0 and -9 that Pierre will count.
13.
Here is a part of the sequence:
14.
Look at these patterns made from circles:
15.
Abdul makes a sequence of 5 numbers:
Stage 5|JS GLOBAL Math WORKBOOK
13
Stage 5|JS GLOBAL Math WORKBOOK
14
Unit 4-Averages
Topics Covered:

Mode and Median
1.
Rabbits take part in the high jump competition and the results are as
below:
What is the mode of the heights jumped?
2.
Piere has five number cards. The median of the numbers is 6. The
mode of the numbers is 3. Write the missing numbers on the cards.
3.
Anastasia records the time it takes to run around the park each day.
She writes each time to the nearest minute.
What is her median time?
Answer:
4.
The radio station plays eight songs. The table shows the length of time
each song plays
Stage 5|JS GLOBAL Math WORKBOOK
15
Write the mode of the time ………………….
5.
Answer the median and mode value for the below:
6.
What is the mode and the median of the below set of numbers:
7.
What is the median of these T-shirt prices:
Stage 5|JS GLOBAL Math WORKBOOK
16
8.
What is the mode of the volumes of these drinks
9.
What is the mode and median of these set of numbers?
10.
What is the mode and the median of these set of numbers?
11.
Nine people have reviewed the film. These are their scores out of 10
12.
Answer the below questions:
Stage 5|JS GLOBAL Math WORKBOOK
17
13.
Write examples of things we might find averages about in these
categories.
14.
Read the statements and put a ring around true or false
15.
At the market, the prices of some of the bags of apples are:
Stage 5|JS GLOBAL Math WORKBOOK
18
$1, $1.25, $1.10, $1.10, $1.50, $1.19, $1.30
a. Put the prices in order from least expensive to most expensive.
b. What is the median price?
c. What is the median price?
Stage 5|JS GLOBAL Math WORKBOOK
19
Unit 5-Addition and Subtraction
Topics Covered:


Addition and subtraction including decimal numbers
Addition and subtraction of positive and negative numbers
Questions :
1.
Write + or – in each box to make these statements correct:
2.
Lilly has six-digit cards.
She uses the card in an addition calculation. She does not need to regroup
when she does the calculation.
Write the digits in the boxes to show an addition calculation with no regrouping
3.
Find the price of each cap below
Stage 5|JS GLOBAL Math WORKBOOK
20
4.
Calculate the below:

237 + 654 =
…………………….

1508 – 316 =
………………………..
5. Gabi has a bag full of square tiles. She uses some tiles to make a large
square. She has 11 more tiles to make a new square.
Write the total number of tiles Gabi uses to make the new square.
6. Solve the below:
7. Each shape stands for a number. Find the value of each shape:
Stage 5|JS GLOBAL Math WORKBOOK
21
8. Solve:
9. Calculate the below:
10. Darius packs two suitcases to take on a plane.
One suitcase weighs 11.28 kg
Stage 5|JS GLOBAL Math WORKBOOK
22
The other weighs 8.65 kg
Darius is allowed to take 20 kg of luggage on the plane.
How much are his suitcases under the 20 kg limit?
11. Mandy and Amy buy fruit:
12. Solve the question:
13. Here is a table of temperatures in the morning on the same day in three
different cities:
Stage 5|JS GLOBAL Math WORKBOOK
23
14. Here is part of number line:
15. Find the difference between 78.43 and 48.75 ……………..
Stage 5|JS GLOBAL Math WORKBOOK
24
Unit 6-3 D shapes
Topics Covered:

Nets of cubes and drawing 3D shapes
1.
Here is an isometric grid. Join dots to draw a cube:
2.
Draw 3 lines to complete this sketch of a cube:
Stage 5|JS GLOBAL Math WORKBOOK
25
3. Here are some 3D shapes
Draw a ring around two models that has the same shape.
4. Here is a drawing of a cube:
5. Draw a line to match the description to the diagrams:
Stage 5|JS GLOBAL Math WORKBOOK
26
6.
7. Write “net of a cube”, “net of an open cube”, “not a net of a cube” for each
diagram below:
Stage 5|JS GLOBAL Math WORKBOOK
27

8. Draw a tetrahedron
How many faces can you see in your picture of a tetrahedron?

What shapes are the faces?
9. The same model has been shown three different ways up:
Stage 5|JS GLOBAL Math WORKBOOK
28
10. Make the model in the picture using cubes. Turn the model a different way
up. Draw a model a different way up on the dotty paper
11. Draw the lines to join them:
12. Draw lines to match the words with shapes:
Stage 5|JS GLOBAL Math WORKBOOK
29
13. Draw the lines to match the object with shapes:
14. Make a cuboid using between 10 and 20 cubes:
Stage 5|JS GLOBAL Math WORKBOOK
30
15. Draw a Hexagonal Pyramid
a) How many faces can you see in your picture of a hexagonal pyramid?
b) What shapes are the faces?
Stage 5|JS GLOBAL Math WORKBOOK
31
Unit 7-Fractions, decimals, and Percentages
Topics Covered:



Understanding fractions
Percentages, decimals and fractions
Equivalence and Comparison
1. Circle all numbers from below that are equivalent to 1½
2. Tick all the numbers that round to 5
3. Here is a regular pentagon. It is divided into ten equal parts. What
percentage of the pentagon is shaded?
Answer .................... %
4. Here is a number line that has decimals and fractions: Write the correct
number in the box
Stage 5|JS GLOBAL Math WORKBOOK
32
3. One quarter of the below square is shaded
Yuri joins 3 tiles to make it a rectangle.
What percentage of the rectangle is shaded?
4. Here is a number line showing decimals and their equivalent percentages.
Write the correct number in each box
5. Naomi is thinking of a fraction:
Write the fraction that Naomi is thinking of:
6. Chen has 1/6 kg of flour. He shares the flour into 3 equal piles. Write the
fraction of a kg of flour that is in each pile.
Answer:
7. Carol as some numbers
Stage 5|JS GLOBAL Math WORKBOOK
33
He starts to write equivalent fractions and has taken 2 numbers already.
Complete the below
8. Match the following:
9. Complete below
Stage 5|JS GLOBAL Math WORKBOOK
34
10. Match the fraction to its equivalent percentages
11. Rajeev has ten donkeys. He shares three bags of food equally between his
donkeys. Rajeev says “in total each donkey will get ...................................... Of a
bag of food. Write the fraction
12. Here is a whole square:
Stage 5|JS GLOBAL Math WORKBOOK
35
13. Here is a regular pentagon:
Stage 5|JS GLOBAL Math WORKBOOK
36
Unit 8-Probability
Topics Covered:


Likelihood
Experiments and Simulations
1. Chen makes this spinner:
He spins it to choose a toy to play with. Write the toys in order of likelihood
that Chen play with them
2. Lily rolls a fair 1-6 dice. Draw lines to match all the pairs of statements that
have the same likelihood:
3. Naomi uses digit cards to show a calculation. She turns two of the cards over.
Stage 5|JS GLOBAL Math WORKBOOK
37
Naomi says that “You cannot be sure what the numbers are on the card I
turned over’ Explain why Naomi is correct
4. Here is a set of digit cards: Hassan puts them in a bag and picks one card
Tick the statement that is least likely.
5. Here are 5 bags. Each bag contains bottle tops that are either black or white.
The tops are all of same size.
Stage 5|JS GLOBAL Math WORKBOOK
38
Mia takes a bottle top at random from one of the bags. Write the letter of the
bag that gives her the greatest likelihood of choosing the shite bottle top
Answer:
6. Safia has nine-digit cards. Here cards are number from 1 to 9. She places
them randomly in a line. She turns four cards to see the numbers. She says
that the next card is more likely to be greater than 5 than lesser than 5.
7. Here are drawings of 4 spinners:
Stage 5|JS GLOBAL Math WORKBOOK
39
Ahmed wants to land on a shaded section when he spins a spinner.
Tick the choice the shows the correct likelihood marked for each spinner
8. Answer the below question:
Stage 5|JS GLOBAL Math WORKBOOK
40
9. Fill the circles:
10. Cards numbered 1 to 10 are placed in a hat:
Stage 5|JS GLOBAL Math WORKBOOK
41
11. Which numbers on this spinner are equally likely
12. There is an even chance of a baby elephant being male or female. Use a coin
to simulate how many male and female elephants could be born in the
national park this year
Stage 5|JS GLOBAL Math WORKBOOK
42
13. Write probability words on this line to make it into a likelihood scale
14. Use some of the words and phrases to complete these sentences about the
spinner
15. Find the opposite:
Stage 5|JS GLOBAL Math WORKBOOK
43
Unit 9-Addition and Subtraction of fractions
Topics Covered:

Addition and subtraction of fractions
Questions:
1. Draw a ring around four numbers that have a total of 37.52
2. Write the missing fraction in the box:
3. Calculate: 46.7 + 24.5
4. Chen has a half tub of ice cream. He shares the ice cream equally into four
bowls. Write the fraction of the whole tub that is in each bowl
5. Tick all the boxes that can be regrouped as 32.23
Stage 5|JS GLOBAL Math WORKBOOK
44
6. Write the number in each box to complete the statements:
7. Write the smallest number that can be subtracted from 316 to give a 2 digit
number
Answer:
8. Yusuf, Mike and Oliver each throw a ball
Yusuf's longest throw is 16.37 meters.
Mike’s longest throw is 2.64 meters longer than Yusuf’s.
Oliver’s longest throw is 4.36 meters shorter than Mike’s.
Calculate the length of Oliver’s longest throw
9. Calculate:
Stage 5|JS GLOBAL Math WORKBOOK
45
10. Answer the below question:
11. Here is an addition pyramid:
12. Solve the below question:
13. Write the number in each circle so the numbers on each side of the square
have the same total:
Stage 5|JS GLOBAL Math WORKBOOK
46
14. Use fraction wall to calculate
15. Find the answer:
Stage 5|JS GLOBAL Math WORKBOOK
47
Unit 10 - Angles
Topics Covered:

Angles
1. Tick all the reflex angles inside the below shape:
2. Here is a shape made from 2 identical triangles. Calculate the value of x
3. Oliver draws some angles on a Caroll diagram. Complete both labels on the
diagram to describe the angles
Stage 5|JS GLOBAL Math WORKBOOK
48
4. Here is a diagram with a square and a straight line. The square touches the
straight line. Calculate the size of the angle x
5. Ahmed arranges straws on his desk to make 4 different angles. The angles are
marked in the diagram. Draw a line to match each angle to the correct
description. One of the choice is done already
6. Calculate the values of angle a
Stage 5|JS GLOBAL Math WORKBOOK
49
7. Here are four types of angles:
8. Tick the scalene triangles
9. Calculate the missing angles:
Stage 5|JS GLOBAL Math WORKBOOK
50
10. Estimate the size of each angle
11. Calculate the missing angle on these straight lines:
Stage 5|JS GLOBAL Math WORKBOOK
51
12. Calculate the missing angle:
13. Choose the best words to complete the description of the angles:
14. Draw the lines to match the definitions:
Stage 5|JS GLOBAL Math WORKBOOK
52
Stage 5|JS GLOBAL Math WORKBOOK
53
Unit 11- Multiplication and Division
Topics Covered:



Multiplication
Division
Tests of Divisibilty
1. Complete the below:
a. 500 x ................. = 1500
b. 500 = ................... 10
2. Explain the following multiplication:
27
3. Chen’s hens lay 365 eggs. 26 eggs are broken. Chen packs the rest in box of
How many boxes did Chen fill?
Explain in detail below:
4. Write one number in each of the boxes below to make it right
5. Look at the below set of numbers and complete the statement:
150, 625, 400, 175, 225
c. The numbers in this set are all divisible by 1, …………. And ………….
Stage 5|JS GLOBAL Math WORKBOOK
54
d. The numbers in this set that are divisible by 50 are
………………………..
6. Draw a line from each equation to show if it is true or false. One of the answer
is already selected
7. Here are two pairs of calculations: Draw the ring account:
8. Write a multiple of 3 that is also a factor of 30
9. Yusuf uses some digit cards to make the below multiplication statement:
Show how Yousuf could use the same digit cards to make a multiplication
statement with a higher product.
Stage 5|JS GLOBAL Math WORKBOOK
55
10. Three children each have a set of these four-digit cards:
They can use their cards to make a 4-digit number that is divisible by 8. Write
the three numbers the children could make
11. Draw a ring around each number that is divisible by 4
12. Write the number in each box to make the calculation correct
13. A farmer sells eggs in trays. There are 24 eggs in each tray. Gabi buys 16
trays of eggs. Calculate the number of eggs she bought.
14. Complete below:
Stage 5|JS GLOBAL Math WORKBOOK
56
15. Here are four digits:
Stage 5|JS GLOBAL Math WORKBOOK
57
Unit 12-Data
Topics Covered:


Representing and interpreting data
Frequency Diagrams and line graphs
Question:
1. Write the below numbers in the given sentence below
396, 8, 132, 660
“There are ……… floors in the hotel. Each floor has ……. Rooms. There are
…........ rooms in use. There are …… rooms not in use.”
2. The below graph shows the depth of water in the lake:
3. Write the greatest depth of water as shown in the graph:
…..................... meters
4. It takes ........................ days for the depth of the water to change from 60
meters to 10 meters
5. Rajiv counts the number of reading books in each classroom. He shows the
results in four different bar charts:
Which chart is best to use? Please provide an answer below:
Stage 5|JS GLOBAL Math WORKBOOK
58
6. Lass 5 picks up litter in the local park. The below waffle diagram shows the type
of litter they picked up:
Stage 5|JS GLOBAL Math WORKBOOK
59




Circle all the right statements that are true
They pick up the same number of drink cans as paper coffee cups
All the plastic bottles they pick are of the same size
58% of the rubbish is plastic bottles
They pick up 17 paper coffee cups
7. This is a sorting diagram for birds:
Below is the information about two birds:
8. Oliver says, “I think more people in my class like apple than pears”. Tick below
all the information Oliver must collect to find out if he is correct
Stage 5|JS GLOBAL Math WORKBOOK
60
9. Here is some information about rainfall in town
e. In how many months was the actual rainfall greater than the expected
rainfall?
…………………………
Stage 5|JS GLOBAL Math WORKBOOK
61
f. In which month was the actual rainfall closest to the expected rainfall
10. Here is some information about how children travel to school
Stage 5|JS GLOBAL Math WORKBOOK
62

Which 2 charts shows the same information?
11. Anastatia draws this graph to show the information in the tally chart.
But Mia says, “you should not connect the dots with lines”. Explain why
Mia is correct?
………………………………………………………………………………………
………………………………………………………………………………………
………………………………………………………………………………………
……………
12. Rajiv has sorted some 3D shapes into these Venn diagram
Stage 5|JS GLOBAL Math WORKBOOK
63
g. Complete the missing label
h. Write the name of a shape that can go in the empty part of the Venn
diagram
…………………………………..
13. Four people run a 40-kilometre race. They each record their times. Jamilia
runs the race in the shortest time. Mike runs the race in 270 minutes. Carlos runs
each kilometer in 7 minutes. Gabi runs the race in 30 seconds less than 5 hours.
Write the names next to the correct times in the table
14. The graph shows information about a bus journey
Stage 5|JS GLOBAL Math WORKBOOK
64
i.
Write the distance the bus travels in the first 20 minutes
j.
What is the total time of the bus journey
15. Ahmed wants to start a fruit stall at school. He designs a survey to determine
which type of fruit to sell on his stall. Select the question that is most useful for
Ahmed.
16. The children in Class 5 record the type of bread everyone eats. The number
of children in each group is shown in the Caroll diagram. Write the same
information in the Venn diagram
Stage 5|JS GLOBAL Math WORKBOOK
65
17. Jamila counts insects in her garden for 5 minutes in the morning and evening.
She plots the results.
Suggest one reason as to why the results are different in the morning and
evening.
18. Naomi and her friends record the number of books they read in a month. Here
is their data.
Stage 5|JS GLOBAL Math WORKBOOK
66
Complete the missing dot.
Stage 5|JS GLOBAL Math WORKBOOK
67
Unit 13-Ratio and Proportion
Topics Covered:

Ratio and proportion
Questions
1. Yusuf puts some toys in the line. Write the ratio of giraffes to elephants:
Answer:
2. Answer the below question:
3. Solve:
Stage 5|JS GLOBAL Math WORKBOOK
68
4. Sofia makes jewellery from black and white beads:
5. Sue has 10 blue pens and 5 green pens
Stage 5|JS GLOBAL Math WORKBOOK
69
6. Here is a repeating pattern of letters:
7. Here is a repeating pattern of the shapes:
8. A bag contains 4 black counters, 3 grey counters and 3 white counters
Stage 5|JS GLOBAL Math WORKBOOK
70
9. There are 3 circle cards for every 2 triangle cards in a pack of cards:
10. Draw lines to match:
11. What are they? Read the sentences and write ‘ratio’ or ‘proportion’
a. Fifteen out of thirty learners got an A.
b. For every six red card, there were three blue cars
c. Two every ten children had blue eyes.
d. For every three white flowers, there were two red flowers.
Stage 5|JS GLOBAL Math WORKBOOK
71
e. For every four correct answers, there was one wrong answer
.
12. Reach each statement and colour or draw the diagram:
13. Put the words in order to make sentences:
Stage 5|JS GLOBAL Math WORKBOOK
72
Unit 14-Area and Perimeter
Topics Covered:

Area and Perimeter
1. Here are four triangles drawn on a grid of centimetre squares. Tick the
rectangle with an area 24 cm2 and a perimeter of 20 cm
2. Here is a rectangle:
Angelina uses two rectangles to make a hexagon.
Stage 5|JS GLOBAL Math WORKBOOK
73
3. what is the area of the hexagon?
Answer: …………………..
4. What is the perimeter of the hexagon?
Explain in detail:
5. is a compound shape drawn on a 1 cm square dotted grid

Calculate the perimeter of the shape

Calculate the area of the shape
6. Samira has a square piece of paper with an area of 49 cm2.
Stage 5|JS GLOBAL Math WORKBOOK
74
Samira cuts the square piece of paper exactly in half along the dotted line.
She makes two rectangles. Calculate the perimeter of one of the rectangles.
7. Here are 4 rectangles drawn on grid squares:
Answer the below question:
Stage 5|JS GLOBAL Math WORKBOOK
75
8. Calculate the perimeter
9. Calculate the area and the perimeter of the below shape:
10. What can you measure the permitter of? Tick the answer:
Stage 5|JS GLOBAL Math WORKBOOK
76
11. Put a ping around true or false:
12. Look at the diagram and answer the questions:
Stage 5|JS GLOBAL Math WORKBOOK
77
13. Complete the speech bubble
Stage 5|JS GLOBAL Math WORKBOOK
78
14. A larger L-shaped figure with the following dimensions:
a. Horizontal sides: 5 cm, 2 cm, and 1 cm
b. Vertical sides: 4 cm, 3 cm, and 2 cm
Questions:
a) What kind of shape is this?
b) What does ‘cm’ mean?
c) What is the length of the longest side?
d) What is the length of the shortest side?
e) What is the perimeter of the shape?
f) What is the area of the shape?
15. new L-shaped figure with the following dimensions:
Horizontal sides: 6 m, 3 m
Vertical sides: 3 m, 5 m, 2 m
Questions:
What is the total area of the shape?
What is the perimeter of the shape?
16. A compound shape is drawn on a 1 cm square grid, consisting of a
rectangle and an attached L-shape.
Stage 5|JS GLOBAL Math WORKBOOK
79
Questions:
a) Calculate the perimeter of the shape.
b) Calculate the area of the shape.
17. A rectangle with the following dimensions:
Length: 10 cm
Width: 5 cm
Questions:
a) Calculate the perimeter of the rectangle.
b) Calculate the area of the rectangle.
Stage 5|JS GLOBAL Math WORKBOOK
80
Unit 15-Multiplication and Division – Fraction and Decimals
Topics Covered:


Multiplication and dividing fractions
Multiplying a decimal and a whole number
Questions:
1. There are 20 fruit trees in the garden. Two-fifths of the trees are apple trees.
The other are pear trees. How many pear trees are there?
2. Mia makes pastry. She uses half as much butter as flour. She uses 450 grams
of flour. How many grams of butter does Mia use? Circle all calculations that
gives right answer
3. A teacher has $497.50. She buys 10 bats and 1 ball. The bat costs $42.40
each. Balls cost $7.75 each. How much money does she have left? Explain in
detail
4. the below:
5. Three identical boxes balance two identical cans. Each item has a mass
between 300 grams – 500 grams
Stage 5|JS GLOBAL Math WORKBOOK
81
Write possible masses for the boxes and cans
6. Calculate 94 divided by 7. Provide the answer in fraction
7. Draw a line to match the calculation to the correct answer:
8. Write a number in the box to make the statement correct:
9. Here is a number statement. Explain if the statement is true of false.
Stage 5|JS GLOBAL Math WORKBOOK
82
10. Calculate :
11. Draw the line to match the calculation:
12. the below statement as a fraction
13. Multiply 3.9 by 5
14. below:
15. Write the missing numbers in the grid:
Stage 5|JS GLOBAL Math WORKBOOK
83
Stage 5|JS GLOBAL Math WORKBOOK
84
Unit 16-Time
Topics Covered:

Time intervals and time zones
Questions:
1. The time is 06:57:20. Write the time the clock shows five minutes later
2. The table shows the results of 100 mts races in Olympics. The Netherlands too
one-tenth of a second longer than the winner. Complete the time for Netherlands
3. draw a line to match each event to the time it is most likely to take. One has
been done already
Stage 5|JS GLOBAL Math WORKBOOK
85
4. These clocks show the time in different parts of the world when it is 07:45 in
London. What is the time in Tokyo when it is midnight in Auckland?
5. Here are four clocks showing the time in different cities when it is 17:50 in
London.
Write the time difference between Abu Dhabi and Vancouver.
Stage 5|JS GLOBAL Math WORKBOOK
86
Write the time in London when it is 2:00 in Auckland
7. Write the below statements in an order, starting the earliest:
8. Lily lives in Cairo. Her grandmother lives in Buenos Aries. Cairo is 5 hours
ahead of Buenos Aries. Lilly phones her grandmother at 1 pm.
Write the time her grandmother’s phone rings in Buenos Aries.
……………………………….
9. If Yuri takes 0.5 seconds to blink his eyes. Write the maximum number of times
Yuri could blink his eyes in one minute.
10. the difference between 1.5 days and 1.5 hours. Give your answers in hours
and minutes.
11. Write a number on each answer line to complete the statements:
Stage 5|JS GLOBAL Math WORKBOOK
87
12.
13. Here is the time on a digital clock:
Write the time 10 minutes later ……………………
14. Write the smallest possible whole number to complete the sentence
15. Solve the below question:
Stage 5|JS GLOBAL Math WORKBOOK
88
16. Solve the below question:
Stage 5|JS GLOBAL Math WORKBOOK
89
Unit 17-Number and the laws of arithmetic
Topics Covered:

The laws of arithmetic
Questions:
1. The below star represents a number.
What is the value of the star?
Answer:
2. Estimate the answer to each calculation:
A sample answer is shown below
3. Oliver is thinking of two numbers:
“They are both whole numbers. One number is one-third of the other number.
The sum of the numbers is 16”. What are the 2 numbers Oliver is thinking of?
………………. , …………………….
4. Adam uses commutative properties to solve some of these calculations. Tick all
the right choices from below:
Stage 5|JS GLOBAL Math WORKBOOK
90
5. writes all the prime numbers between 25 and 40. Write all the prime numbers
that Pierre could write.
6. Here are some mathematical symbols:
7. Review the sentence and answer:
Stage 5|JS GLOBAL Math WORKBOOK
91
8. Write the missing number:
9. Explain whether each calculation will give an answer equal to the product of 12
and 6
10. Complete these calculations:
Stage 5|JS GLOBAL Math WORKBOOK
92
11. Calculate:
12. Write the missing numbers:
13. Rajesh calculates 7 x 5 x 8 x 2 mentally:
14. Complete this calculation:
Stage 5|JS GLOBAL Math WORKBOOK
93
15. Complete the sentences:
Stage 5|JS GLOBAL Math WORKBOOK
94
Unit 18-Position and Direction
Topics Covered:

Coordinates and Translation
1. Points A, B and C are in a straight line.
Select the correct co-ordinates for B from below
(10, 10) (6,2) (10,4) (6,4) (10,2)
2. Translate the shaded shape three squares to the right:
Draw the shape in its new position
Stage 5|JS GLOBAL Math WORKBOOK
95
3. Here are two nets to an open cube. Draw one more square on each net to
make two nets of a closed cube . Make each net different:
4. Here are some points in the grid:
A, B, C and D are the vertices of a square. Write the coordinates of D
Answer ……………….
5. Draw a cross in two more squares to complete this symmetrical pattern:
Stage 5|JS GLOBAL Math WORKBOOK
96
6. A triangle is drawn on a grid of squares. The triangle is translated from position
A to position B.
Select the correct translations for the above instruction
7. Piere is standing northeast of Rajeev. Complete the below sentence
Stage 5|JS GLOBAL Math WORKBOOK
97
8. Here is a dotted grid. Angel reflects a triangle in the mirror line. Complete both
the triangles using a ruler.
9. Here is a square drawn on a coordinate grid. The coordinates of one vertex of
the square is given.
Draw a ring around all the coordinates that are points inside the square.
Stage 5|JS GLOBAL Math WORKBOOK
98
10. Here is a line drawn on a coordinate grid:
11. Answer below question:
The coordinates of two vertices of a rectangle are shown.
A rectangle is plotted on a coordinate plane with two given points:
(3,2) and (9,2).
Point P is marked on the side of the rectangle.
Write a possible pair of coordinates for point P.
12. Here is a coordinate grid
Stage 5|JS GLOBAL Math WORKBOOK
99
13. Answer this.
The coordinates of two of the vertices are shown.
A triangle is plotted on a coordinate plane with two given points:
(1, 3) and (5, 3).
Point M is marked on the side of the triangle.
Write a possible pair of coordinates for point M.
14. Here is a square drawn on a coordinate
15. Answer the below question:
Stage 5|JS GLOBAL Math WORKBOOK
100
Stage 5|JS GLOBAL Math WORKBOOK
101
Properties of 3D shapes:
102
Stage 5|JS GLOBAL Math WORKBOOK
3D Shapes Nets:
1) Cuboid
2) Cuboid
103
Stage 5|JS GLOBAL Math WORKBOOK
3) Cone
4) Cylinder
5) Pyramid
104
Stage 5|JS GLOBAL Math WORKBOOK
Directions:
105
Stage 5|JS GLOBAL Math WORKBOOK
107
Stage 5|JS GLOBAL Math WORKBOOK
107
Stage 5|JS GLOBAL Math WORKBOOK
Area and Perimeter:
108
Stage 5|JS GLOBAL Math WORKBOOK
Fractions:
109
Stage 5|JS GLOBAL Math WORKBOOK
110
Stage 5|JS GLOBAL Math WORKBOOK
111
Stage 5|JS GLOBAL Math WORKBOOK
112
Stage 5|JS GLOBAL Math WORKBOOK
113
Stage 5|JS GLOBAL Math WORKBOOK
114
Stage 5|JS GLOBAL Math WORKBOOK
115
Stage 5|JS GLOBAL Math WORKBOOK
Ratio and Proportion:
116
Stage 5|JS GLOBAL Math WORKBOOK
Mathematics
Stage 5
Paper 1
2025
45 minutes
Additional materials: Set square
Tracing paper (optional)
INSTRUCTIONS
 Answer all questions.
 Write your answer to each question in the space provided.
 You should show all your working on the question paper.
 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 [ ].
117
Stage 5|JS GLOBAL Math WORKBOOK
118
Stage 5|JS GLOBAL Math WORKBOOK
2
1
Work out.
615 + 107 + 232
[1]
2
Write a number in the box to make the statement correct.
1694  100 =
[1]
3
Here is the spatial pattern for the first three triangular numbers.
Pattern 1
Pattern 2
Pattern 3
Write the first three triangular numbers.
[1]
119
Stage 5|JS GLOBAL Math WORKBOOK
3
4
Carlos says,
34 is a multiple
of 4
Carlos is not correct.
Explain how you know that 34 is not a multiple of 4
[1]
5
Write a 3-digit number that is divisible by 2
[1]
6
The time in Manila is 18:40
The time in Sydney is 3 hours ahead of the time in Manila.
Work out the time in Sydney.
[1]
Stage 5|JS GLOBAL Math WORKBOOK
120
4
7
The children in Class 5 want to know if boys have bigger feet than girls.
They collect data.
Tick (�) the data collection that is least useful.
Data collection
Measure the length of each person’s shoe
Measure the length of each person’s foot
Measure the width of each person’s foot
Calculate the area of each person’s foot
[1]
8
Here is a shape made of squares.
Shade two more squares so that the shape has exactly one line of symmetry.
9
[1]
Tick (�) to show if each number is divisible by 2, 4 or 8
One number has been done for you.
Number
Divisible by 2
Divisible by 4
Divisible by 8
16
�
�
�
116
126
[2]
Stage 5|JS GLOBAL Math WORKBOOK
121
5
10
Write
8
3
as a mixed number.
[1]
11 Here is a shape drawn on a grid of squares.
The shape is translated 3 squares to the left.
Draw the translated shape on the grid.
[1]
12 Work out.
1
1
+
4
8
[1]
Stage 5|JS GLOBAL Math WORKBOOK
122
Stage 5|JS GLOBAL Math WORKBOOK
123
6
13 Tick (�) to show if each statement is true or false.
Statement
True
False
6+3+4=4+6+3
16  2 = 10  2 + 6  2
5–3=3–5
36  5 = 4  8  5
[2]
14 Here is the age and mass of five animals.
Animal
A
B
C
D
E
Age (years)
9
5
8
4
4
Mass (kg)
12
9
8
16
21
(a) Write the mode of the animal ages.
years
[1]
kg
[1]
(b) Write the median mass.
Stage 5|JS GLOBAL Math WORKBOOK
125
7
15 Here is a coordinate grid with point A marked.
y
5
4
3
A
2
1
0
0
1
2
3
4
5
x
Plot a different point that has the same y-coordinate as A.
Label the point B.
[1]
16 Draw a line to match the calculation to each equivalent calculation.
6  35
7  36
765
7235
21  10
48  5
[2]
Stage 5|JS GLOBAL Math WORKBOOK
126
8
17 A football team play 10 matches.
They win, lose or draw each match.
They win more matches than they lose.
They win more matches than they draw.
They draw more matches than they lose.
They lose 2 matches.
Complete the dot plot.
win
lose
draw
[1]
18 Youssef draws a right-angled isosceles triangle.
Draw a ring around the number of lines of symmetry Youssef’s triangle has.
0
1
2
3
[1]
19 Mike buys 8 planks of wood.
Each plank has a length of 1.3 metres.
Work out the total length of the 8 planks of wood.
metres
Stage 5|JS GLOBAL Math WORKBOOK
[1]
127
9
20 Oliver has 30 roses.
10 of the roses are red.
Some of the roses are white.
The rest of the roses are yellow.
Oliver picks a rose at random.
Oliver says, ‘I am most likely to pick a yellow rose.’
Complete the table to make Oliver’s statement correct.
Colour of rose
Number of roses
Red
10
White
Yellow
[1]
21 A bag contains 12 pencils.
A box contains 156 bags of pencils.
Work out the number of pencils in a box.
pencils
[1]
22 Write a number in the box to make the sentence correct.
2.5 days =
hours
[1]
12 Stage 5|JS GLOBAL Math WORKBOOK
128
10
23 A bag contains exactly 2 red beads and 3 blue beads.
Write the correct number in each box to make the statement correct.
in every
beads in the bag are blue.
[1]
24 Here is a number.
14.26
Write, in words, the value represented by the digit 6
[1]
25 Lily has 636 beads.
She makes necklaces using the beads.
Each necklace uses 6 beads.
Work out the number of necklaces Lily can make.
[1]
26 Work out.
7.41 – 2.36 + 1.43
[1]
Stage 5|JS GLOBAL Math WORKBOOK
129
11
27 Mia has a spinner with 8 equal sections.
Each section has the number 1 or 2 or 3 or 4 written on it.
Mia is more likely to spin a 3 than a 2
Mia is equally likely to spin a 2 or a 1
Mia is less likely to spin a 3 than a 4
Write a number in each section to complete Mia’s spinner.
[1]
28 Write a number in the box to make the statement correct.
14.07  100  10 =
 100
[1]
29 Three different angles are joined to make a straight line.
Draw a ring around the three angles that could make the straight line.
10
20
30
40
90
100
110
[1]
130
Stage 5|JS GLOBAL Math WORKBOOK
130
12
30 Angelique’s watch is 12 minutes slower than Jamila’s watch.
The time on Angelique’s watch is 14:52
Write the time on Jamila’s watch.
[1]
31 Here are two rectangles.
2 cm
2 cm
3 cm
6 cm
Not drawn to scale
The two rectangles are joined together to make a new shape.
Not drawn to scale
Calculate the perimeter of the new shape.
cm
Stage 5|JS GLOBAL Math WORKBOOK
[1]
130
Stage 5|JS GLOBAL Math WORKBOOK
131
13
32 Here is a grid of squares.
Draw four identical right-angled triangles arranged to make a larger
right-angled triangle.
[1]
132
Stage 5|JS GLOBAL Math WORKBOOK
14
33 Mia asks 32 children which musical instrument they play.
The table shows her data.
Instrument
Number of children
Piano
16
Violin
10
Drums
6
The bar chart shows some of this information.
Musical Instruments Played
Number
of children
Piano
Complete the bar chart by


adding a scale to the y-axis
drawing and labelling bars for violin and drums.
[2]
Stage 5|JS GLOBAL Math WORKBOOK
133
15
34 Naomi counts back from 105 in steps of 8
Samira counts on from 15 in steps of 7
Write the first negative number that Naomi says.
Write the number that both Samira and Naomi say.
Stage 5|JS GLOBAL Math WORKBOOK
134
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
Name
MID-POINT TEST
Date
Stage 5 mid-point test
1
Write the missing numbers.
17 × 100 = 170 ×
2300 ÷ 100 = 230 ÷
[2]
2
Ten times a number is 3.7
What is the number?
[1]
3
A sequence starts at 400 and 70 is subtracted each time.
400
330
260
190 …
The sequence continues in the same way.
What is the first number in the sequence that is less than zero?
[1]
4
Write this as a decimal number.
5 + 10 + 3 + 1
100
10
[1]
5
Write the missing number.
16.03 = 16 +
3
[1]
6
How many lines of symmetry does a scalene triangle have?
[1]
136
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
7
MID-POINT TEST
Reflect the shapes horizontally and vertically over the lines to make
a pattern with two lines of symmetry.
[3]
8
One day the night-time temperature in New York was –9 °C.
By noon the next day the temperature had risen by 5 °C.
What was the temperature at noon?
[1]
9
Roz and Lulu buy fruit.
Roz’s fruit:
Total cost 94 cents
Lulu’s fruit:
Total cost 72 cents
How much does an orange cost?
[2]
136
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
MID-POINT TEST
10 What is the mode of these lengths?
54 cm, 62 cm, 49 cm, 62 cm, 57 cm, 57 cm, 62 cm, 50 cm, 61 cm
[1]
11 What is the median of these prices?
$189, $184, $188, $200, $189, $195, $199, $201, $191
[1]
12 Here is a sequence of stick patterns.
a Complete the table to show the number of sticks in the first four patterns.
Pattern
Number
Number of sticks
1
7
2
3
4
[1]
b Find the term-to-term rule.
[1]
c Find the rule connecting the pattern number and the number of sticks.
[1]
d How many sticks are in the 10th pattern?
[1]
136
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
MID-POINT TEST
13 Sketch two different nets that will make cubes.
[2]
14 Here is a diagram for sorting numbers.
Write these numbers in the correct box.
15
16
17
18
19
You may not need all the boxes.
[2]
15 Imagine two cubes joined together to make a cuboid.
Draw the cuboid on the isometric paper.
[1]
136
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
MID-POINT TEST
16 Look at these numbers.
16
14
35
100
30
9
24
64
25
7
90
21
36
Write down the numbers which are square numbers.
[2]
17 6 children share 2 pizzas equally between them.
a Show two different ways 8 children could share 2 pizzas equally between them.
[1]
b How much pizza does each child get?
[1]
18 Write the missing number.
1
3
of 30 = 1 of
2
[1]
19 a Draw a line to join each improper fraction to the correct position
on the number line.
[1]
b Write each improper fraction as a mixed number.
136
[1]
136
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
MID-POINT TEST
20 Here are four digit cards.
Use each card once to make a correct statement.
[1]
21 Label the missing parts of the likelihood scale.
[2]
22 Which statement shows the numbers ordered correctly?
A 0.7 > 0.4 > 0.2 > 0.9
B 0.9 > 0.7 > 0.4 > 0.2
C 0.2 < 0.7 < 0.4 < 0.9
D 0.4 < 0.9 < 0.2 < 0.7
[1]
23 What percentage of each diagram is shaded?
[2]
136
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
MID-POINT TEST
24 There are 6 letter tiles in this bag.
Taking a letter W is equally likely to taking a letter X.
There is an even chance of taking a letter Y.
Taking a Z is unlikely.
Taking a letter that is not a W, X, Y or Z is impossible.
What letters are in the bag?
[2]
25 Tickets for a concert cost $10, $12 or $15.
300 tickets are sold altogether.
2
of the tickets cost $10.
5
1
of the tickets cost $15.
10
What fraction of the tickets cost $12?
[1]
136
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
Name
END-OF-YEAR TEST
Date
Stage 5 end-of-year test
1
Circle the scalene triangles.
[1]
2
Here are four digit cards.
Use these cards to complete the calculation.
Each card can only be used once.
[1]
3
□ stands for a decimal number.
□ − 13.67 = 14.85
What number does □ stand for?
[1]
Stage 5|JS GLOBAL Math WORKBOOK
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
4
END-OF-YEAR TEST
What is the mode and the median of this set of numbers?
99, 101, 107, 101, 104, 107, 110, 101, 103
The mode is
, the median is
.
[2]
5
The number in each brick is the product of the two numbers below it.
Write the missing numbers.
[2]
6
Draw a line to match the descriptions to the diagrams.
A net of a cube
Not a net of a cube
A net of an open cube
[1]
Stage 5|JS GLOBAL Math WORKBOOK
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
7
END-OF-YEAR TEST
a Draw a line to join each improper fraction to the correct
position on the number line.
[1]
b Change each improper fraction to a mixed number.
[1]
8
Numbered balls are put into a bag. Mandy takes a ball without looking.
Draw arrows onto the likelihood scale to show the chance of each of these outcomes.
A Mandy takes the number 9.
B Mandy takes an even number.
C Mandy takes a number greater than 0.
D Mandy takes a number greater than 6.
E Mandy takes a number less than 6.
[2]
Stage 5|JS GLOBAL Math WORKBOOK
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
9
END-OF-YEAR TEST
The diagram represents 6 units.
Each unit is divided into 3 equal pieces.
Shade the diagram, then write the answer to 6 × 1 .
3
6×1 =
3
[1]
10 Calculate the missing angle on these straight lines.
[2]
11 Look at these patterns made from circles.
a What is the name for this sequence of numbers?
[1]
b Write the first five numbers in the sequence.
[1]
Stage 5|JS GLOBAL Math WORKBOOK
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
END-OF-YEAR TEST
12 The temperature was measured in a garden every two hours overnight.
The line graph shows the temperatures.
a What was the time when the temperature was 3 °C?
[1]
b Describe how the temperature changed between midnight and 2 o’clock.
[1]
c Use the graph to estimate the temperature at 11 o’clock.
[1]
d Describe the shape of the line on the graph.
[1]
13 Orla spills ink on her work. Write the digits below the ink blots.
0.8 × 7 = 5.
0.6 × 8 =
.8
0.
× 9 = 4.5
[2]
Stage 5|JS GLOBAL Math WORKBOOK
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
END-OF-YEAR TEST
14 Calculate the area and the perimeter of the shape.
Area:
Perimeter:
[2]
15 Use each of the digits 5, 6 and 7 in this calculation to give the
largest possible whole number answer.
[1]
16 Abdul makes a sequence of five numbers.
The first number is 3.
The last number is −5.
His rule is to subtract the same number each time.
Write the missing digits.
3
–5
[1]
Stage 5|JS GLOBAL Math WORKBOOK
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
END-OF-YEAR TEST
17 Three girls played ‘hit the target’ at a school fete.
Zina hit the target 13 out of 20 times.
Roz hit the target 60% of the time.
Jodi hit the target 4 of the time.
5
Write the names of the girls in order, starting with the one who hit
the target most frequently. Show your working.
[2]
18 Write a number between 54 and 55 that rounds to 55.
[1]
19 Write a different prime number in each box to make this calculation correct.
Each number must be less than 10.
[1]
20 Maria says, ‘If a number is divisible by 8, it is also divisible by 4 but
if a number is divisible by 4 it may not be divisible by 8.’
Is she right?
Use the numbers 789 624 and 789 724 to explain your answer.
[2]
Stage 5|JS GLOBAL Math WORKBOOK
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
END-OF-YEAR TEST
21 It is Friday morning in Montevideo.
It is Friday afternoon in Cairo.
a Complete the sentences to describe the time difference
between Cairo and Montevideo.
The time in Cairo is
hours ahead of the time in Montevideo.
When it is 4:17 p.m. in Cairo, it is
When it is 10:35 p.m. in Montevideo, it is
:
in Montevideo.
:
in Cairo.
[2]
b Lucas starts his run at 8:48 a.m. in Montevideo.
He completes his run at 9:27 a.m. How long did he run for?
[1]
22
a What are the three coordinates of the triangle?
[1]
b Translate the triangle on the grid 3 squares right and 2 squares up.
[1]
Stage 5|JS GLOBAL Math WORKBOOK
CAMBRIDGE PRIMARY MATHEMATICS STAGE 5
END-OF-YEAR TEST
23 Three boxes A, B and C each contain red and blue cubes.
Box A
2 blue cubes
5 cubes altogether
Box B
3 blue cubes
5 cubes altogether
Box C
4 blue cubes
7 cubes altogether
Write the letter of the correct box next to each statement.
a There are 3 red cubes to every 2 blue cubes.
b 3 out of every 7 cubes are red.
c 60% of the cubes are blue.
d The ratio of red to blue cubes is 2 : 3.
e
2
of the cubes are blue.
5
[2]
Stage 5|JS GLOBAL Math WORKBOOK