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What is this resource and how do I use it?
This revision booklet covers all the important curriculum objectives for mathematics for Year 5. This is
the perfect way to get your children practising in preparation for a maths exam. You can also encourage
your child to complete one task per day, or use the whole booklet in one session.
What skills does this practise? Further Activity Ideas and Suggestions
Place value For some more targeted learning activities in areas where your
child might need more support, take a look at our Maths Area
Four Operators on the Parents’ Hub.
Parents Blog Twinkl Kids’ TV Homework Help
2.
vi si o n Practis
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ok
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4.
Content
s
1. Number and Place Value
4. Addition and Subtraction
6. Multiplication and Division
11. Fractions
17. Measurement
22. 2D Shapes
24. 3D Shapes
25. Angles
28. Symmetry
29. Geometry - Position and Direction
31. Statistics
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5.
Number
and Pla
Counting
ce Value
Count forwards and backwards in 4, 6, 7, 8, 9, 25, 50, steps of powers of 10
(10, 100, 1000, … )
1. Continue the sequences:
7, 14, 21, 28, 35, 42, , , , , ,
625, 600, 575, 550, 525, , , , , ,
57 382, 67 382, 77 382, 87 382, , , , , ,
2. Find 10, 100 or 1000 more or less than a given number
What is 100 less than 1902? What is 1000 more than 3249?
3. Count forwards and backwards through zero
Continue the sequence:
6, 5, 4, 3, 2, 1, 0, -1, -2, -3 , , , , .
Place Value
Recognise the place value of each digit in up to four-digit numbers.
hundred thousands ten thousands thousands hundreds tens ones
245 392
4. Underline the thousands digit in 2 769.
Underline the hundred thousands digit in 3 47 0 5 3.
Underline the tens digit in 2 09 74 0 .
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6.
Number
and Pla
ce Value
Compare and Order Numbers
Compare using <, > or =
5. Write a number so that each sentence makes sense:
141 141 >
144 114 =
501 243 <
6. Order the following numbers from largest to smallest:
Smallest 121 211 11 112 122 211 11 211 122 121 Greatest
Identify, Represent and Estimate
Use models and representations of numbers
7. What number is shown?
Rounding
Round numbers to the nearest 10, 100, 1000, 10 000 or 100 000
8. 4500 rounded to the nearest 1000 is
253 450 to the nearest 10 000 is
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7.
Number
and Pla
ce Value
Read and Write Numbers in Numerals and Words
9. Complete the table:
Numerals Words
Three hundred and forty-four thousand,
two hundred and eighty-five
855 102
Six hundred and twenty-two thousand,
nine hundred and sixteen
120 563
Roman Numerals
10. Use the following Roman numerals to represent numbers to 100:
Roman Numeral
I 1 CCXIX =
V 5 DCXXVI =
X 10 CMXLVIII =
L 50 MDCCCLXXI =
C 100
D 500
M 1000
Solve Problems
11. Here are 3 years written in Roman Numerals. Order the years from earliest to latest:
MMIX MCMXCIX MMXV
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8.
Addition
and Su
btractio
Add and Subtract Mentally n
12. Add and subtract three-digit numbers and ones, tens and hundreds
376 + 3 = 376 + 40 = 376 + 200 =
Mental Methods
13. Add and subtract numbers mentally with larger numbers
15 672 – 3200 =
Formal Methods
14. Use a formal written method to calculate:
7 2 6 9 8
+ 6 1 5 6 2
8 4 9 3 5
- 1 2 4 2 3
6 4 8 1 2
- 2 9 3 6 4
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9.
Addition
and Su
btractio
n
Estimate and Inverse
15. Estimate by rounding to check accuracy.
Use the inverse to check the following calculations. Circle ‘correct’ or ‘incorrect.’
6470 + 1248 = 7718 correct/incorrect
5905 - 2674 = 2231 correct/incorrect
Solve Problems
Multi-step problems
16. 8451 people visit a cinema on one day. There are two films showing. 3549 adults and 946
children see an adventure film, 1263 adults and a number of children see an animation.
How many adults are there?
How many children are there?
How many children see the animation?
How many more children see the animation than the adventure film?
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10.
M ultipli
cation
Multiplication Tables and Division
17. Fill in the missing numbers:
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 3 5 6 8 10 11
2 4 8 10 14 18 24
3 3 9 30 36
4 20 44
5 30 55
6 6 36 48 60 72
7 7 21 35 49 63 77
8 32 56 72 88 96
9 9 18 45 72 90 108
10 10 30 60 120
11 33 55 121
12 12 36 72 144
Multiplying and Dividing
18. Use knowledge of place value and related facts to solve these calculations:
400 × 5 = 630 ÷ 7 =
Multiply by 0 and 1 and divide by 1:
285 × 1 = 285 × 0 = 285 ÷ 1 =
Multiplying and dividing whole numbers and decimals by 10, 100 and 1000:
45 × 10 = 6.7 × 100 = 902 × 1000 =
59 ÷ 10 = 4506 ÷ 100 = 382 ÷ 1000 =
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11.
M ultipli
cation
and Division
Factor Pairs and Commutativity
19. What are all the factor pairs of 56?
Use your factor pairs to solve:
56 pencils are shared between 4 tables. How many pencils does each table receive?
20. Change the order of the numbers in these calculation without changing the answer:
5 × 9 × 2 = 90
6 × 3 ×10 = 180
Prime Numbers
21. List all the prime numbers up to 20.
List all prime numbers between 20 and 30.
What would be the first prime number after 100?
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12.
M ultipli
cation
and Division
Square and Cube Numbers
22. Write these numbers into the correct place in the table:
9, 144, 27, 4, 1, 8, 100, 81, 125, 16, 25, 64, 121
Square Numbers Cube Numbers
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13.
M ultipli
cation
Formal Methods
and Division
23. Use formal written methods to multiply:
2 7
x 4
3 8 2
x 7
2 4 7 1
x 6
24. a) Use the formal long multiplication
method to calculate:
2 7
x 1 4
b) Use a short division method to solve these problems:
4 7 6 5 4 8 7
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14.
M ultipli
cation
and Division
25. Fill in the missing numbers to complete the calculations.
× 3 = 45 or 56 ÷ = 14
Word Problems:
26. A teacher has four new boxes of pencils, each with 12 pencils, and a tray with 37 pencils.
The teacher shares equally all the pencils between 5 tables. How many pencils does each
table receive? Show your working out below.
Scaling Problems with Simple Fractions
27. 12 pizzas are cut into quarters. Into how many pieces will all the pizzas be cut?
Correspondence problems
28. Jenna has 2 t-shirts and 4 pairs of shorts. How many different combinations of the t-shirts
and shorts does Jenna have?
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15.
29. 120 pencils are shared equally between 3 classes. How many pencils will they
each receive?
Fraction of a Set of Marbles Fraction
s
30. Find 5 of these marbles by circling:
8
Equivalent Fractions
31. Write in the missing fractions?
= =
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16.
Fraction
s
1
1 1
2 2
1 1 1 1
4 4 4 4
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
1
1 1 1
3 3 3
1 1 1 1 1 1
6 6 6 6 6 6
1 1 1 1 1 1 1 1 1 1 1 1
12 12 12 12 12 12 12 12 12 12 12 12
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24
1
1 1 1 1 1
5 5 5 5 5
1 1 1 1 1 1 1 1 1 1
10 10 10 10 10 10 10 10 10 10
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
32. Write 3 fractions that are equivalent to 1 , ,
3
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17.
Fraction
s
Add and Subtract Fractions with
the Same Denominator and with
Denominators that are Multiples
33. Find the missing equivalent fractions.
1 3 4 5 3 2
+ = = - = =
8 8 8 8 8 8
Compare and Order
Unit fractions
35a) Order these fractions from smallest to greatest:
1 1 1 1
smallest greatest
6 3 8 4
b) Use <. > or = to compare these fractions:
1 3
5 5
5 1
8 4
Mixed Numbers and Improper Fractions
36. Write the improper fraction:
1
Mixed fraction 1 = - Improper fraction
5
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18.
Fraction
s
Multiply Fractions
37. Complete the missing fractions:
2
x 5 =
3 3 = 3 3
Decimal Equivalents
38. Complete the missing tenths, hundredths and decimals:
= 0.7 = 0.43
10 100
1 = 0.2 1 = 0. 3 = 0.7
4 2 4
Write decimals as a fraction:
67
0. = 100
Division by 10 and 100
2 ÷ 10 = 2 ÷ 100 = 25 ÷ 10 = 25 ÷ 100 =
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19.
Fraction
s
Rounding Decimals
40. Round these decimals to the nearest whole number:
0.5 rounds to
2.35 rounds to
Round this decimal to one decimal place:
0.05 rounds to
Read, Write, Order and Compare Decimals
41. Write the decimal in digits:
zero ones, four tenths and five hundredths.
two ones, three tenths and four hundredths.
42. Complete the missing percentages:
50 1
% = 100 = 2 41% = 100
Solve Problems
43. Adil divides his marbles into tenths. He wants to give two friends an equal number of marbles
but still have 3 times more than their individual amounts. What fractions could he split his
marbles into?
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20.
Fraction
s
Measure and Money Problems
44. a) Ellie buys a new shirt for £4.75 and a pair of trousers for £3.50 in a sale. She pays with
a £10 note. What change will she receive?
b) A bag of potatoes weigh 2.45kg. How much will 4 bags weigh?
Decimal Problems to 3 Decimal Places
45. A packet of sugar weighs 1.348kg. 3 kg is used to bake some cakes.
4
How much will the packet weigh now?
Knowing Percentage and Decimal Equivalents
46. Order the following from smallest to largest:
2
25%, 0.3,
5
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21.
Measure
ment
Estimate, Measure, Compare, Add and Subtract
Lengths (mm/cm/m)
47. Measure and draw lines using a ruler in centimetres (cm) or millimetres (mm).
This line is cm or mm long.
Mass (g/kg)
Measure the mass of objects using different scales
48. 3 apples weigh 435g. One is eaten and the 2 remaining apples weigh 285g. What is the
mass of the eaten apple?
Capacity (ml/l)
49. Circle the jug which has more water:
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22.
Measure
ment
Convert between units
50. Complete the missing conversions:
Length: Time:
1 km = m 1 year = days
1m = cm or mm
1 week = days
1cm = mm
1 day = hours
1kg = g 1 hour = minutes
Capacity/ Volume: 1 minute = seconds
1l = ml
51. Calculate the perimeter:
8cm
3cm
Perimeter = cm.
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23.
Measure
ment
Measure and calculate the perimeter of rectilinear shapes (including squares)
12cm
Perimeter = cm.
6cm
5cm
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24.
52. a) Calculate the area of this rectilinear shape by counting squares:
Area = cm2
b) Measure the sides of the rectangle and calculate the area:
Area = cm × cm = cm2
c) Estimate the area of this irregular shape:
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25.
53. Add and subtract giving change
Jude buys a bag of apples for £2.25 and some avocados for £3.15.How much change will he
get from £20?
54. Analogue clocks and 12/24 hour time
a) What time do these clocks show?
b) The maths lesson lasted one hour and five minutes. The art lesson was one hour and twenty
minutes. Which lesson was longer and by how long?
c) A film lasts 136 minutes. How long is the film in hours and minutes?
hours and minutes
Solve Problems
55. a) 2 equal bottles of water contain 500ml of drink. How many litres will 7 bottles hold?
b) A 6.5kg bag of soil is divided into 20 pots equally. Each pot needs 0.5kg. How much more
soil does each pot need after the bag is used up?
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26.
2D S ha
pes
56. Label the shapes.
57. Draw a square on 1cm squared paper with sides of 4cm.
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27.
58. Write suitable titles for this Venn diagram:
59. Label the triangles.
(all sides and angles equal)
(2 sides and angles equal)
(no sides and angles equal)
(one angle a right angle)
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28.
3D S ha
pes
3D Shapes
60. Label the shapes:
Recognise 2D representations and make models from modelling materials
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29.
Angles
61. Complete the statements:
An measures a turn. An angle is less than a right
angle (90°).
A is the corner
An angle is between a right
of a square.
angle and a straight line.
right angles make a straight line.
Draw and Measure Angles
62. a) Measure the angle:
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30.
Angles
b) Calculate the missing angles:
110°
145°
105°
50°
One right angle = ° Two right angles = ° Three right angles = °
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31.
Lines Angles
63. Label the lines using the word bank:
vertical
parallel
horizontal
perpendicular
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32.
Symmet
ry
64. Mark the lines of symmetry in these shapes:
Complete the symmetrical figure:
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33.
Regular and Irregular Polygons
65. Circle the regular polygons:
Geometr
y - Pos
ition and
Coordinates Directio
n
6
5
4 66. Label A, B and C.
The coordinates are:
A (1,3)
3
B (2,4)
2 C (4,2)
1
0
0 1 2 3 4 5 6
What are the coordinates of the point that will complete a rectangle?
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34.
Geometr
y - Pos
ition an
d Directio
n
Translation Reflection
A
B
The triangle A is translated three squares to
the right and two squares up to triangle B. D
The triangle A is reflected about the line CD
Mark triangle B
to triangle B.
Mark triangle A
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35.
Statisti
cs
67. Present data in these graphs and tables and solve problems:
Favourite Colour
= 2 children
Red Blue Green Yellow Pink
a) How many children chose their favourite colour?
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36.
Bar Charts
40
35
30
25
20
15
10
5
0
Ready Salted Salt and Vinegar Cheese and Onion
68 a) How many more children chose cheese and onion as their favourite crisps than
ready salted?
The Height of Children
25
20
Number of children
15
10
5
0
80cm - 89cm
90cm - 99cm
100cm - 109cm
110cm - 119cm
120cm - 129cm
Height in cm
c) How many children are shorter than 1m?
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37.
Monday Tuesday Wednesday Thursday
Saturn 2 1 3 4
Twin 0 2 2 3
Stars 5 3 2 0
Cluster 2 2 2 2
Treasure 1 3 5 0
Tiger 6 3 4 1
Plimmy 1 3 2 2
d) Which chocolate bar is the most popular?
Time Graphs
Number of Children Who Have a School Meal
Monday
Tuesday
Wednesday
Thursday
Friday
0 10 20 30 40
e) How many children had a school meal during the week?
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38.
Line Graphs Length of a Shadow
60
50
Length in cm
40
30
20
10
0
09:00 10:00 11:00 12:00 13:00 14:00 15:00
time
Length of shadow
f) In which hour was the largest change in the length of the shadow?
Time Graphs
Train timetable from London to Newcastle
Destination Journey A Journey B Journey C
London 10:20 11:30 16:40
Derby 12:20 18:00
Sheffield 12:40 13:10 18:30
Hull 13:20 13:55 19:15
Newcastle 14:25 14:40
g) Which train takes the least time to get from London to Hull?
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39.
Number and Place Value Answers
Count forwards and backwards in 4, 6, 7, 8, 9, 25, 50, steps of powers of 10 (10,
100, 1000, … )
1. Continue the sequences:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77
625, 600, 575, 550, 525, 500, 475, 450, 425, 400
57 382, 67 382, 77 382, 87 382, 97 382, 107 382, 117 382
2. Find 10, 100 or 1000 more or less than a given number
What is 100 less than 1902? What is 1000 more than 3249?
1802 4249
3. Count forwards and backwards through zero
Continue the sequence:
6, 5, 4, 3, 2, 1, 0, -1, -2, -3 -4, -5, -6, -7, -8.
Place Value
Recognise the place value of each digit in up to four-digit numbers
hundred thousands ten thousands thousands hundreds tens ones
245 392
4. Underline the thousands digit in 2769.
Underline the hundred thousands digit in 347 053.
Underline the tens digit in 209 740.
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40.
Compare and Order Numbers
Compare using <, > or =
5. Write a number so that each sentence makes sense:
141 141 > accept answers less than 141 141
144 114 = accept only 144 114
501 243 < accept answers more than 501 243
6. Order the following numbers from largest to smallest:
Smallest 11 112 11 211 121 211 122 121 122 211 Greatest
Identify, Represent and Estimate
Use models and representations of numbers
7. What number is shown? 2850
Round numbers to the nearest 10, 100, 1000, 10 000 or 100 000
8. 4500 rounded to the nearest 1000 is 5000
253 450 to the nearest 10 000 is 250 000
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41.
Read and Write Numbers in Numerals and Words
9. Complete the table:
Numerals Words
344 285 Three hundred and forty-four thousand,
two hundred and eighty-five
855 102 Eight hundred and fifty-five thousand,
one hundred and two
622 916 six hundred and twenty-two thousand,
nine hundred and sixteen
120 563 One hundred and twenty thousand, five
hundred and sixty-three
Roman Numerals
10. Use the following Roman numerals to represent numbers to 100:
Roman Numeral
I 1 CCXIX = 219
V 5 DCXXVI = 626
X 10 CMXLVIII = 948
L 50 MDCCCLXXI = 1871
C 100
D 500
M 1000
Solve Problems
11. Here are 3 years written in Roman Numerals. Order the years from earliest to latest:
MCMXCIX MMIX MMXV
(1999) (2009) (2015)
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42.
Addition and Subtraction Answers
Add and Subtract Mentally
12. Add and subtract three-digit numbers and ones, tens and hundreds
376 + 3 = 379 376 + 40 = 416 376 + 200 = 576
Mental Methods
13. Add and subtract numbers mentally with larger numbers
15 672 – 3200 = 12 472
Formal Methods
14. Use a formal written method to calculate:
7 2 6 9 8
+ 6 1 5 6 2
1 3 4 2 6 0
8 4 9 3 5
- 1 2 4 2 3
7 2 5 1 2
5 1 7 10 1
6 4 8 1 2
- 2 9 3 6 4
3 5 4 4 8
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43.
Estimate and Inverse
15. Estimate by rounding to check accuracy.
Use the inverse to check the following calculations. Circle ‘correct’ or ‘incorrect.’
6470 + 1248 = 7718 correct/incorrect
5905 - 2674 = 2231 correct/incorrect
Solve Problems
Multi-step problems
16. 8451 people visit a cinema on one day. There are two films showing. 3549 adults and 946
children see an adventure film, 1263 adults and a number of children see an animation.
How many adults are there? 4812
How many children are there? 3639
How many children see the animation? 2693
How many more children see the animation than the adventure film? 1747
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44.
Multiplication and Division Answers
Multiplication Tables
17. Fill in the missing numbers:
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
Multiplying and Dividing
18. Use knowledge of place value and related facts to solve these calculations:
400 × 5 = 2000 630 ÷ 7 = 90
Multiply by 0 and 1 and divide by 1:
285 × 1 =285 285 × 0 = 0 , 285 ÷ 1 = 285
Multiplying and dividing whole numbers and decimals by 10, 100 and 1000:
45 × 10 = 450 6.7 × 100 = 670 902 × 1000 = 902 000
59 ÷ 10 = 5.9 4506 ÷ 100 = 45.06 382 ÷ 1000 = 0.382
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45.
Factor Pairs and Commutativity
19. What are all the factor pairs of 56? 1 and 56, 2 and 28, 4 and 14, 8 and 7
Use your factor pairs to solve:
56 pencils are shared between 4 tables. How many pencils does each table receive?
14
20. Change the order of the numbers in these calculation without changing the answer:
5 × 9 × 2 = 90 2 × 9 × 5 = 90, 2 × 5 × 9 = 90, 9 × 2 × 5 = 90, 9 × 5 × 2 = 90
6 × 3 ×10 = 180 6 × 10 × 3 = 180, 10 × 3 × 6 = 180, 10 × 6 × 3 = 180
Prime Numbers
21. List all the prime numbers up to 20. 2, 3, 5, 7, 11, 13, 17, 19
List all prime numbers between 20 and 30. 23, 29
What would be the first prime number after 100? 101
Square and Cube Numbers
22. Write these numbers into the correct place in the table:
9, 144, 27, 4, 1, 8, 100, 81, 125, 16, 25, 64, 121
Square Numbers Cube Numbers
1 1
4 8
9 27
16 64
25 125
64
81
100
121
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46.
Formal Methods
23. Use formal written methods to multiply:
2 7
x 4
1 0 8
2
3 8 2
x 7
2 6 7 4
5 1
2 4 7 1
x 6
1 4 8 2 6
2 4
24. a) Use the formal long multiplication method to calculate:
2 7
x 1 4
1 0 8
2 7 0
3 7 8
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47.
b) Use a short division method to solve these problems:
1 9 9 7 r 2
4 7 6 5 4 8 7
25. Fill in the missing numbers to complete the calculations.
15 × 3 = 45 or 56 ÷ 4 = 14
Word Problems:
26. A teacher has four new boxes of pencils, each with 12 pencils, and a tray with 37 pencils.
The teacher shares equally all the pencils between 5 tables. How many pencils does each
table receive? Show your working out below.
12 × 4 = 48 new pencils.
48 + 37 = 85 pencils in total.
85 ÷ 5 = 17 pencils per table.
Scaling Problems with Simple Fractions
27. 12 pizzas are cut into quarters. Into how many pieces of pizza will the pizzas be cut?
12 × 4 = 48 pieces
Correspondence problems
28. Jenna has 2 t-shirts and 4 pairs of shorts. How many different combinations of the t-shirts
and shorts does Jenna have? 8 different combinations.
29. 120 pencils are shared equally between 3 classes. How many pencils will they each receive?
120 ÷ 3 = 40 pencils each.
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48.
Fractions Answers
30. Shade to show 7/10:
Shade to show 46/100:
Equivalent Fractions
31. Find 5
8 of these marbles by circling: Accept 20 marbles circled
Fraction of a Set of Marbles
32. Write in the missing fractions
= =
3 6 12
4 8 16
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49.
1
1 1
2 2
1 1 1 1
4 4 4 4
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
1
1 1 1
3 3 3
1 1 1 1 1 1
6 6 6 6 6 6
1 1 1 1 1 1 1 1 1 1 1 1
12 12 12 12 12 12 12 12 12 12 12 12
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24
1
1 1 1 1 1
5 5 5 5 5
1 1 1 1 1 1 1 1 1 1
10 10 10 10 10 10 10 10 10 10
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
33. Write 3 fractions that are equivalent to
1 2 4 8
3 6 12 24
Add and Subtract Fractions with the Same Denominator and with
Denominators that are Multiples
34. Find the missing equivalent fractions.
= 1 1
1 3 4 5 3 2
+ = 2 - = = 4
8 8 8 8 8 8
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50.
Compare and Order
Unit fractions
35. a) Order these fractions from smallest to greatest:
1 1 1 1
smallest greatest
8 6 4 3
b) Use <. > or = to compare these fractions:
1 3
5 < 5
5 1
>
8 4
Mixed Numbers and Improper Fractions
36. Write the improper fraction:
2 5
Mixed fraction 1 = - Improper fraction
3 3
Multiply Fractions
37. Complete the missing fractions:
2 10 1
x 5 = =3
3 3 3
Decimal Equivalents
38. Complete the missing tenths, hundredths and decimals:
7 43
= 0.7 = 0.43
10 100
1 = 0.25 1 = 0.5 3 = 0.75
4 2 4
Write decimals as a fraction:
67
0.67 = 100
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51.
Division by 10 and 100
2 ÷ 10 = 0.2 2 ÷ 100 = 0.02 25 ÷ 10 = 2.5 25 ÷ 100 = 0.25
Rounding Decimals
40. Round these decimals to the nearest whole number:
0.5 rounds to 1
2.35 rounds to 2
Round this decimal to one decimal place:
0.05 rounds to 0.1
Read, Write, Order and Compare Decimals
41. Write the decimal in digits:
zero ones, four tenths and five hundredths. 0.45
two ones, three tenths and four hundredths. 2.34
42. Complete the missing percentages:
50 1 41
50% = 100 = 2 41% = 100
Solve Problems
43. Adil divides his marbles into tenths. He wants to give two friends an equal number of marbles
but still have 3 times more than their individual amounts. What fractions could he split his
marbles into?
2 2 6
10
+ 10
+ 10
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52.
Measure and Money Problems
44. a) Ellie buys a new shirt for £4.75 and a pair of trousers for £3.50 in a sale. She pays with
a £10 note. What change will she receive?
Ellie will receive £1.75 in change.
b) A bag of potatoes weigh 2.45kg. How much will 4 bags weigh?
Decimal Problems to 3 Decimal Places
3
45. A packet of sugar weighs 1.348kg. kg is used to bake some cakes.
4
How much will the packet weigh now?
1.348kg – 0.75kg = 0.598kg
Knowing Percentage and Decimal Equivalents
46. Order the following from smallest to largest:
25%, 0.3, 2
5
25%, 2 , 0.3
5
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53.
Measurement Answers
Estimate, Measure, Compare, Add and Subtract
Lengths (mm/cm/m)
Measure and draw lines using a ruler in centimetres (cm) or millimetres (mm).
This line is 9.5cm or 95mm long.
Mass (g/kg)
Measure the mass of objects using different scales
48. 3 apples weigh 435g. One is eaten, and the 2 remaining apples weigh 285g. What is the
mass of the eaten apple? 150g
Capacity (ml/l)
Circle the jug which has more water:
75ml 90ml
Convert between units
Complete the missing conversions:
Length: Time:
1 km = 1000m 1 year = 365 days
1m = 100cm or 1000mm
1 week = 7 days
1cm = 10mm
1 day = 24 hours
1kg = 1000g 1 hour = 60 minutes
Capacity/ Volume: 1 minute = 60 seconds
1l =1000ml
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54.
51. Calculate the perimeter:
8cm
3cm
Perimeter = 22cm.
Measure and calculate the perimeter of rectilinear shapes (including squares)
12cm
Perimeter = 42cm.
6cm
5cm
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55.
52. a) Calculate the area of this rectilinear shape by counting squares:
Area = 71cm2
b) Measure the sides of the rectangle and calculate the area:
Area = 8cm × 3cm = 24cm2
c) Estimate the area of this irregular shape:
Accept answers between
17cm2 and 22cm2
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56.
53. Add and subtract giving change
Jude buys a bag of apples for £2.25 and some avocados for £3.15. How much change will he
get from £20?
£2.25 + £3.15 = £5.40
£20 - £5.40 = £14.60
54. Analogue clocks and 12/24 hour time
a) What time do these clocks show? Quarter to 9, 08:45, or eight forty-five
b) The maths lesson lasted 1 hour and 5 minutes. The art lesson was one hour and twenty
minutes. Which lesson was longer and by how long? The art lesson was longer by 15 minutes
c) A film lasts 136 minutes. How long is the film in hours and minutes?
2 hours and 16 minutes
Solve Problems
55. a) 2 equal bottles of water contain 500ml of drink. How many litres will 7 bottles hold?
1.75 litres of water.
b) A 6.5kg bag of soil is divided into 20 pots equally. Each pot needs 0.5kg. How much more
soil does each pot need after the bag is used up?
175g more soil is needed in each pot.
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57.
2D Shapes
56. Label the shapes.
circle triangle quadrilateral square rectangle rhombus
parallelogram pentagon hexagon octagon decagon
57. Draw a square on 1cm squared paper with sides of 4cm.
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58.
58. Write suitable titles for this Venn diagram:
Has at least one
Has 4 sides
right angle
59. Label the triangles.
Equilateral (all sides and angles equal)
Isosceles (2 sides and angles equal)
Scalene (no sides and angles equal)
Right-angled triangle (no sides and angles equal)
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59.
3D Shapes
60. Label the shapes:
square-based
sphere cylinder cube cuboid tetrahedron pyramid
triangular prism pentagonal prism hexagonal prism
Recognise 2D representations and make models from modelling materials
Angles 2 right angles make a straight line.
61. Complete the statements:
An angle measures a turn.
An acute angle is less than a right angle (90°).
A right angle is the corner of a square.
An obtuse angle is between a right angle
and a straight line.
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60.
Draw and Measure Angles
62. a) Measure the angle:
The angle measures 127°
b) Calculate the missing angles:
105°
110°
145°
105°
50° 25°
One right angle = 90° Two right angles = 180° Three right angles = 270°
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61.
63. Label the lines using the word bank:
horizontal vertical
parallel
horizontal
vertical perpendicular
parallel perpendicular
64. Mark the lines of symmetry in these shapes:
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62.
Complete the symmetrical figure:
Regular and Irregular Polygons
65. Circle the regular polygons:
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63.
Geometry – Position and
Direction Answers
Coordinates
66.
6 Label A, B and C The
coordinates are
5
A (1,3)
B (2,4)
4 C (4,2)
3
2
1
0
0 1 2 3 4 5 6
Translation Reflection
What are the coordinates of the point that will complete a rectangle? (3,1)
C
B
A
A B
The triangle A is translated three squares to
D
the right and two squares up to triangle B.
The triangle A is reflected about the line CD
Mark triangle B to triangle B.
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64.
Statistics Answers
67. Present data in these graphs and tables and solve problems:
Pictograms
Favourite Colour
= 2 children
Red Blue Green Yellow Pink
a) How many children chose their favourite colour? 35
Bar Charts
40
35
30
25
20
15
10
5
0
Ready Salted Salt and Vinegar Cheese and Onion
b) How many more children chose cheese and onion as their favourite crisps than
ready salted? 10 children
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65.
The Height of Children
25
Number of children 20
15
10
5
0
80cm - 89cm
90cm - 99cm
100cm - 109cm
110cm - 119cm
120cm - 129cm
Height in cm
c) How many children are shorter than 1m? 32 or 33 children
Monday Tuesday Wednesday Thursday
Saturn 2 1 3 4
Twin 0 2 2 3
Stars 5 3 2 0
Cluster 2 2 2 2
Treasure 1 3 5 0
Tiger 6 3 4 1
Plimmy 1 3 2 2
d) Which chocolate bar is the most popular? Tiger
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66.
Time Graphs
Number of Children Who Have a School Meal
Monday
Tuesday
Wednesday
Thursday
Friday
0 10 20 30 40
e) How many children had a school meal during the week? Approximately 126 children
Line Graphs
Length of a Shadow
60
50
Length in cm
40
30
20
10
0
09:00 10:00 11:00 12:00 13:00 14:00 15:00
time
Length of shadow
f) In which hour was the largest change in the length of the shadow? Between 14:00 and 15:00
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67.
Time Graphs
Train timetable from London to Newcastle
Destination Journey A Journey B Journey C
London 10:20 11:30 16:40
Derby 12:20 18:00
Sheffield 12:40 13:10 18:30
Hull 13:20 13:55 19:15
Newcastle 14:25 14:40
g) Which train takes the least time to get from London to Hull? Journey B is the shortest
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