Term pack
Class 4 Maths
Name: ________________________
Skills in this pack
- Numbers beyond a thousand
- Multiplying two digits by one
- Multiplying larger numbers
- Division with remainders
- Equivalent fractions
- Comparing and ordering fractions
- Changing between units of measure
- Time and how long things last
- Money problems
- Perimeter: once round the outside
- Area by counting squares
- Circles: centre, radius and diameter
- Patterns and tiling
- Reading bar charts
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Class 4 Maths · 1 of 14
Numbers beyond a thousand
Read, write, compare and round four-digit numbers.
Before you start
This line runs from four thousand to five thousand, and only every second tick is labelled. Find the numbers in between and see how far along each one sits.
Halfway along is 4,500 — the number that decides which way everything between four and five thousand rounds.
1.Which number is the largest?
- a) 7,280
- b) 7,208
- c) 7,028
- d) 7,802
2.Write four thousand and sixty in digits.
3.Match each number to the value of its digit 5.
- 5,214
- 1,528
- 3,157
- 8,435
- 500
- 5
- 5000
- 50
4.How many hundreds make 4,600 altogether?
5.Which of these is six thousand and four?
- a) 6400
- b) 6004
- c) 640
- d) 6040
6.Round 3,482 to the nearest thousand.
7.What is the value of the digit 7 in 4,725?
8.What is 1 more than 5,999?
Numbers beyond a thousand · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 2 of 14
Multiplying two digits by one
Multiply a two-digit number by a single digit.
1.23 × 4 = ?
2.45 × 9 = ?
3.52 × 6 = ?
4.Put these multiplications in order, smallest answer first.
- 33 × 5
- 26 × 8
- 21 × 4
- 14 × 3
5.Sort these multiplications by whether the answer is below 200 or above it.
Groups: Below 200 · Above 200
- 23 × 4
- 36 × 3
- 29 × 8
- 52 × 6
- 47 × 5
- 18 × 7
6.64 × 2 = ?
7.Match each multiplication to its answer.
- 24 × 3
- 31 × 5
- 43 × 6
- 27 × 4
- 155
- 258
- 72
- 108
8.The line counts in 23s. Tap where 23 × 4 lands.
Mark the line with an X.
Multiplying two digits by one · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 3 of 14
Multiplying larger numbers
Multiply a three-digit number by a single digit, and a two-digit number by a two-digit number.
1.Work out each multiplication, then sort it by whether the answer is below 500 or above 500.
Groups: Below 500 · Above 500
- 42 × 9
- 18 × 20
- 75 × 8
- 111 × 6
- 130 × 4
- 62 × 8
2.23 × 14 = ?
3.125 × 8 = ?
4.418 × 5 = ?
5.234 × 3 = ?
6.45 × 12 = ?
7.A box holds 144 pencils. How many pencils are there in 6 boxes?
8.60 × 30 = ?
Multiplying larger numbers · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 4 of 14
Division with remainders
Divide by a single digit, and say what is left over when it does not go exactly.
Before you start
Twenty-four ones in a row. Count along it in fives and see where you come to a stop.
Four fives reach 20 and there is not enough left for a fifth. The 4 still sitting there is the remainder, and it is always smaller than the number you were counting in.
1.Which division leaves nothing over?
- a) 75 ÷ 8
- b) 72 ÷ 8
- c) 73 ÷ 8
- d) 74 ÷ 8
2.Work out each division, then sort it by whether it goes exactly or leaves something over.
Groups: Goes exactly · Leaves something over
- 45 ÷ 7
- 50 ÷ 8
- 63 ÷ 9
- 70 ÷ 4
- 36 ÷ 6
- 40 ÷ 5
3.You divide a number by 6. Which of these could the remainder never be?
- a) 3
- b) 6
- c) 0
- d) 5
4.Divide 68 by 7. What is left over?
5.Exactly one number on this line divides by 6 with nothing left over. Tap it.
Mark the line with an X.
6.There are 53 apples to be packed into bags of 8. How many apples are left over?
7.96 ÷ 4 = ?
8.138 ÷ 6 = ?
Division with remainders · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 5 of 14
Equivalent fractions
Recognise fractions that are worth the same amount.
Before you start
Shade some of the bar, then cut it into more pieces. What happens to the shaded part?
Cutting the bar into more pieces never changes how much is shaded — only what you call it.
1.Each of these has its top number missing. Work them out and put them in order, smallest missing number first.
- 2/3 = ?/12
- 1/2 = ?/10
- 1/2 = ?/6
- 3/4 = ?/16
2.Which fraction is NOT the same as 3/4?
- a) 4/6
- b) 12/16
- c) 6/8
- d) 9/12
3.Fill in the missing number: 3/4 = 15/?
4.Sort each fraction by whether it is worth the same as 2/3 or not.
Groups: The same as 2/3 · Not the same as 2/3
- 5/8
- 3/5
- 2/5
- 8/12
- 10/15
- 4/6
5.Fill in the missing number: 1/2 = ?/8
6.Which fraction is the same as 1/2?
- a) 1/4
- b) 3/6
- c) 2/3
- d) 2/5
7.The top bar shows 3/4. Shade the bottom bar so that it shows the same amount.
Shade the second bar to show the same amount as the first.
8.Fill in the missing number: 2/3 = ?/9
Equivalent fractions · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 6 of 14
Comparing and ordering fractions
Compare fractions with the same bottom number and with the same top number, and put a set of fractions in order.
1.Which of these fractions is worth exactly 1?
- a) 4/5
- b) 5/4
- c) 5/5
- d) 1/5
2.Put these fractions in order, smallest first.
- 1/3
- 1/2
- 1/6
- 1/10
- 1/4
3.A pizza is cut into 6 equal slices and 2 of them are eaten. What fraction of the pizza is left? Write it in its simplest form.
4.Put these fractions in order, smallest first.
- 1/8
- 5/8
- 2/8
- 7/8
5.How many eighths are worth the same as one half? Write just the number.
6.Each of these is one piece of a whole. Which piece is the largest?
- a) 1/6
- b) 1/5
- c) 1/3
- d) 1/9
7.Fill in the missing number: 1/4 = ?/12
8.The pieces are all eighths. Which fraction is the largest?
- a) 5/8
- b) 1/8
- c) 3/8
- d) 2/8
Comparing and ordering fractions · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 7 of 14
Changing between units of measure
Change a measurement from a larger unit to a smaller one and back again, and add measurements written in mixed units.
1.Which of these is the same length as 250 centimetres?
- a) 2 metres and 50 centimetres
- b) 20 metres and 50 centimetres
- c) 2 metres and 5 centimetres
- d) 25 metres
2.There are 100 centimetres in 1 metres. How many centimetres are there in 4 metres? Give just the number.
3.There are 100 centimetres in 1 metres. How many metres are there in 700 centimetres? Give just the number.
4.There are 1,000 metres in 1 kilometres. How many metres are there in 3 kilometres? Give just the number.
5.A rope 5 metres long is cut into pieces each 50 centimetres long. How many pieces are there? Give just the number.
6.Put these lengths in order, shortest first.
- 9 metres
- 50 centimetres
- 350 centimetres
- 2 metres
- 1 kilometres
7.There are 1,000 g in 1 kg. How many g are there in 2 kg? Give just the number.
8.Which unit would you choose to measure the length of a pencil?
- a) metres
- b) centimetres
- c) kilograms
- d) kilometres
Changing between units of measure · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 8 of 14
Time and how long things last
Work out how long something lasts, including when it runs past the hour, and find a start or finish time from a duration.
1.A lesson starts at 9:20 am and ends at 10:05 am. How many minutes long is it?
2.Match each start and finish time to how many minutes it lasts.
- 10:00 to 10:20
- 10:00 to 10:35
- 9:45 to 10:30
- 11:20 to 12:30
- 35
- 20
- 70
- 45
3.How many minutes are there in 3 hours?
4.A match starts at 2:15 pm and lasts 90 minutes. At what time does it end? Write it like 4:30.
5.How many minutes are there in two and a half hours?
6.A bus journey takes 35 minutes and must arrive at 8:15 am. At what time must the bus leave? Write it like 7:05.
7.Which of these is the longest time?
- a) 2 hours
- b) 1 hour 30 minutes
- c) 95 minutes
- d) 100 minutes
8.A clock shows 7:45. What time will it be in 40 minutes?
- a) 8:05
- b) 8:25
- c) 7:85
- d) 8:15
Time and how long things last · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 9 of 14
Money problems
Add, subtract and multiply amounts of money, and work out the change from a payment.
1.Which of these purchases costs the most?
- a) 4 rulers at ₹18 each
- b) 2 books at ₹35 each
- c) 5 erasers at ₹12 each
- d) 3 pens at ₹20 each
2.Match each purchase to what it costs altogether.
- 3 pens at ₹12
- 2 books at ₹45
- 5 erasers at ₹8
- 4 rulers at ₹16
- 64
- 40
- 36
- 90
3.A stall sells 7 bottles at ₹35 each. How much money does it take altogether? Give just the number.
4.A book costs ₹135 and you pay with ₹200. How much change do you get? Give just the number.
5.Work out what each purchase comes to, then sort it by whether that is less or more than ₹100.
Groups: Less than ₹100 · More than ₹100
- 4 erasers at ₹15 each
- 5 rulers at ₹25 each
- 2 bags at ₹80 each
- 2 pens at ₹30 each
- 6 pencils at ₹9 each
- 3 books at ₹45 each
6.A pen costs ₹18 and a notebook costs ₹25. What do the two cost together? Give just the number.
7.A box of 6 pencils costs ₹54. What does one pencil cost? Give just the number.
8.You buy 3 tickets at ₹75 each and pay with ₹250. How much change do you get? Give just the number.
Money problems · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 10 of 14
Perimeter: once round the outside
Find the perimeter of any straight-sided shape by adding the lengths of its sides, and work backwards to a missing side.
Before you start
An L-shaped garden, with every side drawn as its own strip. Find all of them, and count how many there are.
- 1. The top side
- 2. The short side going down
- 3. The step across
- 4. The long side going down
- 5. The bottom side
- 6. The tall side up the left
Six sides, not four — the step in the middle adds two more, and leaving one of those out is the commonest way a perimeter goes wrong.
1.A regular octagon has a perimeter of 56 cm. How long is each side, in centimetres? Give just the number.
2.A rectangle is 12 cm long and 7 cm wide. What is its perimeter, in centimetres? Give just the number.
3.Every length here is in centimetres. Which shape has the largest perimeter?
- a) A square of side 6
- b) A regular pentagon of side 5
- c) A triangle with sides 7, 7 and 7
- d) A rectangle 8 by 3
4.A triangle has sides of 6 cm, 8 cm and 5 cm. What is its perimeter, in centimetres? Give just the number.
5.Every side of every shape here is 6 centimetres long. Match each regular shape to its perimeter.
- Triangle
- Square
- Pentagon
- Hexagon
- Octagon
- 30
- 18
- 36
- 24
- 48
6.A four-sided shape has sides of 3 cm, 7 cm, 4 cm and 9 cm. What is its perimeter, in centimetres? Give just the number.
7.A square has a perimeter of 32 cm. How long is each side, in centimetres? Give just the number.
8.A path goes right round a rectangular lawn 15 m long and 10 m wide. How far is it once round, in metres? Give just the number.
Perimeter: once round the outside · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 11 of 14
Area by counting squares
Measure the area of a shape on squared paper by counting the squares it covers, including half squares.
Before you start
Three shapes sit on the same grid of squares. Count the squares under each one and compare what you find with how big each shape looks.
- 1. Shape A
- 2. Shape B
- 3. Shape C
Shape B is the tallest and Shape C is the widest, but neither of those is what decides the area — only the count of squares does.
1.A rectangle on squared paper is 7 squares across and 4 squares down. How many squares does it cover?
2.Match each rectangle to the number of squares it covers.
- 2 across and 3 down
- 3 across and 3 down
- 4 across and 5 down
- 6 across and 6 down
- 9
- 36
- 6
- 20
3.A shape covers 9 full squares and 4 half squares. What is its area, in squares?
4.Three shapes are drawn on this grid. Tap the shape that covers the most squares.
Write the number of the part.
5.A rectangle on squared paper is 9 squares across and 5 squares down. How many squares does it cover?
6.Sort each rectangle by whether it covers fewer or more than 20 squares.
Groups: Fewer than 20 squares · More than 20 squares
- 7 across and 3 down
- 6 across and 4 down
- 4 across and 4 down
- 3 across and 5 down
- 5 across and 5 down
- 2 across and 9 down
7.A shape drawn on squared paper covers 8 full squares in its upper part and 6 full squares in its lower part. What is its area, in squares?
8.A shape covers 20 full squares and 6 half squares. What is its area, in squares?
Area by counting squares · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 12 of 14
Circles: centre, radius and diameter
Name the centre, radius and diameter of a circle, and use the fact that the diameter is twice the radius.
Before you start
Three parts are marked on these two equal circles. Find the point in the middle of the first, the line that reaches from its middle to the edge, and the line that crosses the whole of the second, and see what each one is called.
- 1. The radius
- 2. The diameter
- 3. The centre
Lay two of the shorter line end to end and they cover the longer one exactly. That is the whole relationship between a radius and a diameter, in one picture.
1.What is the name for a straight line drawn from the middle of a circle out to its edge?
2.A circle has a diameter of 20 cm. What is its radius, in centimetres?
- a) 20
- b) 10
- c) 5
- d) 40
3.What is the name for a straight line that crosses a circle from edge to edge, passing through the middle?
4.Tap the radius.
Write the number of the part.
5.A circle has a diameter of 14 cm. What is its radius, in centimetres?
- a) 28
- b) 4
- c) 7
- d) 14
6.The diameter of a circle is always...
- a) three times the radius
- b) twice the radius
- c) half the radius
- d) the same as the radius
7.Match each circle's radius to the diameter of the same circle.
- radius 3
- radius 5
- radius 8
- radius 11
- 6
- 22
- 16
- 10
8.Tap the centre that is marked.
Write the number of the part.
Circles: centre, radius and diameter · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 13 of 14
Patterns and tiling
Continue number and shape patterns, work out a later term in a pattern, and tell which shapes tile without leaving gaps.
1.Which capital letter has no line of symmetry at all?
- a) A
- b) F
- c) H
- d) T
2.A pattern goes 2, 4, 8, 16, ... What number comes next?
3.A pattern goes 3, 6, 9, 12, ... What number comes next?
4.Put these shapes in order by how many lines of symmetry they have, fewest first.
- An equilateral triangle
- A scalene triangle
- A rectangle that is not a square
- An isosceles triangle
- A square
5.How many lines of symmetry does a rectangle that is not a square have?
- a) 4
- b) 0
- c) 2
- d) 1
6.A pattern of squares uses 1 square, then 4, then 9, then 16. How many squares does the fifth shape use?
7.A pattern goes 100, 90, 80, 70, ... What number comes next?
8.Which of these shapes will tile a floor with no gaps at all?
- a) A regular octagon
- b) A circle
- c) A regular hexagon
- d) A regular pentagon
Patterns and tiling · Class 4 Maths · www.arenapublications.com/learn
Class 4 Maths · 14 of 14
Reading bar charts
Read a bar chart, use its scale to turn a bar height into a number, and compare the bars.
1.On this chart each square of the scale stands for 4 cars. Match each bar height to the number of cars it shows.
- 2 squares
- 3 squares
- 5 squares
- 7 squares
- 28
- 8
- 12
- 20
2.This chart shows how many books were read on each of four days. Tap the bar for the day with the most.
Write the number of the part.
3.This chart shows how many books were read on each of four days. Tap the bar for the day with the fewest.
Write the number of the part.
4.A bar chart shows 9, 14, 6 and 11 visitors across four days. How many visitors were there altogether?
5.A bar chart shows 12, 7, 15 and 6 birds in four gardens. How many more birds were in the busiest garden than in the quietest?
6.A chart shows 22 visitors on Monday, 15 on Tuesday, 30 on Wednesday and 18 on Thursday. Sort each day by whether it had fewer or more than 20 visitors.
Groups: Fewer than 20 · More than 20
- Monday
- Tuesday
- Thursday
- Wednesday
7.On a bar chart each square of the scale stands for 2 children. A bar stands for 18 children. How many squares tall is it?
8.Why does a bar chart need a scale up the side?
- a) So that every bar is the same width
- b) So that the height of a bar can be read as a number
- c) So that the chart has a title
- d) So that the bars look neat
Reading bar charts · Class 4 Maths · www.arenapublications.com/learn
Answer keys — Class 4 Maths
In the same order as the worksheets.
Numbers beyond a thousand
- 1. d) 7,802
- 2. 4060
- 3. 5,214 → 5000; 1,528 → 500; 3,157 → 50; 8,435 → 5
- 4. 46
- 5. b) 6004
- 6. 3000
- 7. 700
- 8. 6000
Multiplying two digits by one
- 1. 92
- 2. 405
- 3. 312
- 4. 1. 14 × 3 2. 21 × 4 3. 33 × 5 4. 26 × 8
- 5. 23 × 4 → Below 200; 36 × 3 → Below 200; 47 × 5 → Above 200; 52 × 6 → Above 200; 18 × 7 → Below 200; 29 × 8 → Above 200
- 6. 128
- 7. 24 × 3 → 72; 31 × 5 → 155; 43 × 6 → 258; 27 × 4 → 108
- 8. 92
Multiplying larger numbers
- 1. 18 × 20 → Below 500; 42 × 9 → Below 500; 62 × 8 → Below 500; 130 × 4 → Above 500; 75 × 8 → Above 500; 111 × 6 → Above 500
- 2. 322
- 3. 1000
- 4. 2090
- 5. 702
- 6. 540
- 7. 864
- 8. 1800
Division with remainders
- 1. b) 72 ÷ 8
- 2. 36 ÷ 6 → Goes exactly; 40 ÷ 5 → Goes exactly; 45 ÷ 7 → Leaves something over; 50 ÷ 8 → Leaves something over; 63 ÷ 9 → Goes exactly; 70 ÷ 4 → Leaves something over
- 3. b) 6
- 4. 5
- 5. 24
- 6. 5
- 7. 24
- 8. 23
Equivalent fractions
- 1. 1. 1/2 = ?/6 2. 1/2 = ?/10 3. 2/3 = ?/12 4. 3/4 = ?/16
- 2. a) 4/6
- 3. 20
- 4. 4/6 → The same as 2/3; 3/5 → Not the same as 2/3; 10/15 → The same as 2/3; 5/8 → Not the same as 2/3; 8/12 → The same as 2/3; 2/5 → Not the same as 2/3
- 5. 4
- 6. b) 3/6
- 7. 6/8
- 8. 6
Comparing and ordering fractions
- 1. c) 5/5
- 2. 1. 1/10 2. 1/6 3. 1/4 4. 1/3 5. 1/2
- 3.
- 2/3
- 2 / 3
- two thirds
- two-thirds
- 4. 1. 1/8 2. 2/8 3. 5/8 4. 7/8
- 5. 4
- 6. c) 1/3
- 7. 3
- 8. a) 5/8
Changing between units of measure
- 1. a) 2 metres and 50 centimetres
- 2. 400
- 3. 7
- 4. 3000
- 5. 10
- 6. 1. 50 centimetres 2. 2 metres 3. 350 centimetres 4. 9 metres 5. 1 kilometres
- 7. 2000
- 8. b) centimetres
Time and how long things last
- 1. 45
- 2. 10:00 to 10:20 → 20; 10:00 to 10:35 → 35; 9:45 to 10:30 → 45; 11:20 to 12:30 → 70
- 3. 180
- 4.
- 3:45
- 3.45
- quarter to four
- 3:45 pm
- 5. 150
- 6.
- 7:40
- 7.40
- twenty to eight
- 7:40 am
- 7. a) 2 hours
- 8. b) 8:25
Money problems
- 1. a) 4 rulers at ₹18 each
- 2. 3 pens at ₹12 → 36; 2 books at ₹45 → 90; 5 erasers at ₹8 → 40; 4 rulers at ₹16 → 64
- 3. 245
- 4. 65
- 5. 2 pens at ₹30 each → Less than ₹100; 3 books at ₹45 each → More than ₹100; 4 erasers at ₹15 each → Less than ₹100; 5 rulers at ₹25 each → More than ₹100; 6 pencils at ₹9 each → Less than ₹100; 2 bags at ₹80 each → More than ₹100
- 6. 43
- 7. 9
- 8. 25
Perimeter: once round the outside
- 1. 7
- 2. 38
- 3. b) A regular pentagon of side 5
- 4. 19
- 5. Triangle → 18; Square → 24; Pentagon → 30; Hexagon → 36; Octagon → 48
- 6. 23
- 7. 8
- 8. 50
Area by counting squares
- 1. 28
- 2. 2 across and 3 down → 6; 3 across and 3 down → 9; 4 across and 5 down → 20; 6 across and 6 down → 36
- 3. 11
- 4. 2 — Shape B
- 5. 45
- 6. 3 across and 5 down → Fewer than 20 squares; 4 across and 4 down → Fewer than 20 squares; 5 across and 5 down → More than 20 squares; 6 across and 4 down → More than 20 squares; 2 across and 9 down → Fewer than 20 squares; 7 across and 3 down → More than 20 squares
- 7. 14
- 8. 23
Circles: centre, radius and diameter
- 1. radius
- 2. b) 10
- 3. diameter
- 4. 1 — The radius
- 5. c) 7
- 6. b) twice the radius
- 7. radius 3 → 6; radius 5 → 10; radius 8 → 16; radius 11 → 22
- 8. 3 — The centre
Patterns and tiling
- 1. b) F
- 2. 32
- 3. 15
- 4. 1. A scalene triangle 2. An isosceles triangle 3. A rectangle that is not a square 4. An equilateral triangle 5. A square
- 5. c) 2
- 6. 25
- 7. 60
- 8. c) A regular hexagon
Reading bar charts
- 1. 2 squares → 8; 3 squares → 12; 5 squares → 20; 7 squares → 28
- 2. 2 — Tuesday
- 3. 3 — Wednesday
- 4. 40
- 5. 9
- 6. Monday → More than 20; Tuesday → Fewer than 20; Wednesday → More than 20; Thursday → Fewer than 20
- 7. 9
- 8. b) So that the height of a bar can be read as a number
Class 4 Maths · www.arenapublications.com/learn