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Term pack

Year 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
  • Patterns and tiling
  • 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
  • Reading bar charts

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Year 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.

400042004400460048005000

Halfway along is 4,500 — the number that decides which way everything between four and five thousand rounds.

  1. 1.Match each number to the value of its digit 5.

    • 5,214
    • 1,528
    • 3,157
    • 8,435
    • 500
    • 5
    • 50
    • 5000

  2. 2.Tap where 4,500 sits on this line.

    Mark the line with an X.

    400042004400460048005000

  3. 3.Put these numbers in order, smallest first.

    • 2,905
    • 5,029
    • 2,950
    • 9,205
    • 5,092

  4. 4.What is 1 more than 5,999?

  5. 5.Which of these is six thousand and four?

    • a) 6004
    • b) 6040
    • c) 6400
    • d) 640

  6. 6.Write four thousand and sixty in digits.

  7. 7.Which number is the largest?

    • a) 7,280
    • b) 7,208
    • c) 7,028
    • d) 7,802

  8. 8.Round 3,482 to the nearest thousand.

Numbers beyond a thousand · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 2 of 14

Multiplying two digits by one

Multiply a two-digit number by a single digit.

  1. 1.Put these multiplications in order, smallest answer first.

    • 21 × 4
    • 26 × 8
    • 14 × 3
    • 33 × 5

  2. 2.Sort these multiplications by whether the answer is below 200 or above it.

    Groups: Below 200 · Above 200

    • 47 × 5
    • 36 × 3
    • 29 × 8
    • 23 × 4
    • 52 × 6
    • 18 × 7

  3. 3.Which of these is another way of working out 24 × 5?

    • a) 2 × 5 + 4 × 5
    • b) 24 × 5 + 5
    • c) 20 × 5 + 4
    • d) 20 × 5 + 4 × 5

  4. 4.45 × 9 = ?

  5. 5.18 × 7 = ?

  6. 6.52 × 6 = ?

  7. 7.64 × 2 = ?

  8. 8.The line counts in 23s. Tap where 23 × 4 lands.

    Mark the line with an X.

    023466992115

Multiplying two digits by one · Year 4 Maths · www.arenapublications.com/learn

Year 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. 1.234 × 3 = ?

  2. 2.Work out each multiplication, then sort it by whether the answer is below 500 or above 500.

    Groups: Below 500 · Above 500

    • 42 × 9
    • 130 × 4
    • 75 × 8
    • 18 × 20
    • 62 × 8
    • 111 × 6

  3. 3.A box holds 144 pencils. How many pencils are there in 6 boxes?

  4. 4.Which of these is another way of working out 25 × 16?

    • a) 25 × 10 + 25 × 6
    • b) 25 + 10 × 6
    • c) 25 × 10 × 6
    • d) 25 × 10 + 25 × 16

  5. 5.418 × 5 = ?

  6. 6.307 × 6 = ?

  7. 7.23 × 14 = ?

  8. 8.125 × 8 = ?

Multiplying larger numbers · Year 4 Maths · www.arenapublications.com/learn

Year 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.

04812162024

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. 1.Divide 68 by 7. How many whole sevens are there?

  2. 2.Work out each division, then sort it by whether it goes exactly or leaves something over.

    Groups: Goes exactly · Leaves something over

    • 36 ÷ 6
    • 40 ÷ 5
    • 50 ÷ 8
    • 45 ÷ 7
    • 63 ÷ 9
    • 70 ÷ 4

  3. 3.There are 53 apples to be packed into bags of 8. How many full bags are there?

  4. 4.96 ÷ 4 = ?

  5. 5.Divide 47 by 5. What is left over?

  6. 6.You divide a number by 6. Which of these could the remainder never be?

    • a) 0
    • b) 6
    • c) 3
    • d) 5

  7. 7.Divide 68 by 7. What is left over?

  8. 8.There are 53 apples to be packed into bags of 8. How many apples are left over?

Division with remainders · Year 4 Maths · www.arenapublications.com/learn

Year 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?

123456789101112

Cutting the bar into more pieces never changes how much is shaded — only what you call it.

  1. 1.Match each fraction to another fraction worth exactly the same amount.

    • 1/4
    • 2/5
    • 3/8
    • 5/6
    • 4/10
    • 10/12
    • 3/12
    • 6/16

  2. 2.Which fraction is the same as 1/3?

    • a) 2/5
    • b) 1/6
    • c) 3/4
    • d) 2/6

  3. 3.One bar shows 2/3 and the other shows 4/6. Which bar will show more when they are filled in?

    Which bar shows more when they are filled in? Circle one.

    2/34/6

    Top / The same / Bottom

  4. 4.Fill in the missing number: 2/3 = ?/9

  5. 5.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

    • 10/15
    • 5/8
    • 2/5
    • 3/5
    • 8/12
    • 4/6

  6. 6.Fill in the missing number: 3/4 = 15/?

  7. 7.Which fraction is NOT the same as 3/4?

    • a) 4/6
    • b) 6/8
    • c) 9/12
    • d) 12/16

  8. 8.Which fraction is the same as 5/10?

    • a) 1/2
    • b) 1/5
    • c) 5/5
    • d) 2/5

Equivalent fractions · Year 4 Maths · www.arenapublications.com/learn

Year 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. 1.Fill in the missing number: 2/5 = ?/10

  2. 2.Fill in the missing number: 1/4 = ?/12

  3. 3.Sort each fraction by whether it is smaller or larger than one half.

    Groups: Smaller than a half · Larger than a half

    • 3/4
    • 7/10
    • 1/3
    • 5/8
    • 2/5
    • 1/6

  4. 4.Put these fractions in order, smallest first.

    • 1/3
    • 1/4
    • 1/2
    • 1/10
    • 1/6

  5. 5.The pieces are all sevenths. Which fraction is the smallest?

    • a) 4/7
    • b) 5/7
    • c) 2/7
    • d) 6/7

  6. 6.Each of these is one piece of a whole. Which piece is the smallest?

    • a) 1/10
    • b) 1/3
    • c) 1/4
    • d) 1/2

  7. 7.Match each fraction to the fraction worth exactly the same amount.

    • 1/2
    • 1/4
    • 1/3
    • 2/3
    • 3/6
    • 4/12
    • 2/8
    • 8/12

  8. 8.How many eighths are worth the same as one half? Write just the number.

Comparing and ordering fractions · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 7 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. 1.A pattern goes 100, 90, 80, 70, ... What number comes next?

  2. 2.A pattern goes 3, 6, 9, 12, ... What number comes next?

  3. 3.Put these shapes in order by how many lines of symmetry they have, fewest first.

    • A square
    • An isosceles triangle
    • A rectangle that is not a square
    • An equilateral triangle
    • A scalene triangle

  4. 4.Sort each shape by whether copies of it will tile a floor with no gaps.

    Groups: Tiles with no gaps · Leaves gaps

    • Regular octagon
    • Square
    • Equilateral triangle
    • Regular hexagon
    • Regular pentagon
    • Circle

  5. 5.A pattern goes 2, 4, 8, 16, ... What number comes next?

  6. 6.Which of these shapes will tile a floor with no gaps at all?

    • a) A regular octagon
    • b) A regular pentagon
    • c) A regular hexagon
    • d) A circle

  7. 7.Match each shape to how many lines of symmetry it has.

    • Square
    • Equilateral triangle
    • Rectangle that is not a square
    • Isosceles triangle
    • Scalene triangle
    • 4
    • 1
    • 0
    • 3
    • 2

  8. 8.A pattern of beads goes red, blue, green, red, blue, green, and keeps repeating in that order. What colour is the twelfth bead?

    • a) Green
    • b) Yellow
    • c) Blue
    • d) Red

Patterns and tiling · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 8 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. 1.There are 1,000 g in 1 kg. How many g are there in 2 kg? Give just the number.

  2. 2.There are 100 centimetres in 1 metres. How many metres are there in 700 centimetres? Give just the number.

  3. 3.Put these lengths in order, shortest first.

    • 350 centimetres
    • 9 metres
    • 1 kilometres
    • 50 centimetres
    • 2 metres

  4. 4.Sort each length by whether it is less than 1 metres or more than 1 metres.

    Groups: Less than 1 metres · More than 1 metres

    • 250 centimetres
    • 3 metres
    • 150 centimetres
    • 45 centimetres
    • 99 centimetres
    • 60 centimetres

  5. 5.Match each measurement to the same measurement written another way.

    • 1 metres
    • 3 metres
    • 1 kilometres
    • 1 kg
    • 2 kg
    • 300 centimetres
    • 1,000 g
    • 2,000 g
    • 100 centimetres
    • 1,000 metres

  6. 6.There are 100 centimetres in 1 metres. How many centimetres are there in 4 metres? Give just the number.

  7. 7.Which unit would you choose to measure the length of a pencil?

    • a) centimetres
    • b) kilograms
    • c) kilometres
    • d) metres

  8. 8.There are 1,000 g in 1 kg. How many kg are there in 5,000 g? Give just the number.

Changing between units of measure · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 9 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. 1.A clock shows 7:45. What time will it be in 40 minutes?

    • a) 8:25
    • b) 7:85
    • c) 8:05
    • d) 8:15

  2. 2.A lesson starts at 9:20 am and ends at 10:05 am. How many minutes long is it?

  3. 3.Sort each activity by whether it takes less than an hour or more than an hour.

    Groups: Less than an hour · More than an hour

    • A swim of 55 minutes
    • A train journey of 3 hours
    • A film of 90 minutes
    • A walk of 25 minutes
    • A lesson of 45 minutes
    • A match of 2 hours

  4. 4.A match starts at 2:15 pm and lasts 90 minutes. At what time does it end? Write it like 4:30.

  5. 5.Which of these is the longest time?

    • a) 95 minutes
    • b) 2 hours
    • c) 1 hour 30 minutes
    • d) 100 minutes

  6. 6.A shop opens at 8:30 am and closes at 8:30 pm. How many hours is it open?

  7. 7.How many minutes are there in 3 hours?

  8. 8.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.

Time and how long things last · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 10 of 14

Money problems

Add, subtract and multiply amounts of money, and work out the change from a payment.

  1. 1.A box of 6 pencils costs $54. What does one pencil cost? Give just the number.

  2. 2.A shirt costs $450 and a cap costs $125. How much more does the shirt cost than the cap? Give just the number.

  3. 3.You start with $500, then spend $185 and after that $96. How much is left? Give just the number.

  4. 4.Which of these purchases costs the most?

    • a) 4 rulers at $18 each
    • b) 2 books at $35 each
    • c) 3 pens at $20 each
    • d) 5 erasers at $12 each

  5. 5.A book costs $135 and you pay with $200. How much change do you get? Give just the number.

  6. 6.Put these amounts in order, smallest first.

    • $145
    • $450
    • $54
    • $405
    • $45

  7. 7.A juice costs $24.50 and a sandwich costs $35.50. What do they cost together? Give just the number.

  8. 8.A pen costs $18 and a notebook costs $25. What do the two cost together? Give just the number.

Money problems · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 11 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.

123456
  1. 1. The top side
  2. 2. The short side going down
  3. 3. The step across
  4. 4. The long side going down
  5. 5. The bottom side
  6. 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. 1.Every side of every shape here is 6 centimetres long. Match each regular shape to its perimeter.

    • Triangle
    • Square
    • Pentagon
    • Hexagon
    • Octagon
    • 36
    • 48
    • 30
    • 24
    • 18

  2. 2.Every length here is in centimetres. Which shape has the largest perimeter?

    • a) A triangle with sides 7, 7 and 7
    • b) A regular pentagon of side 5
    • c) A rectangle 8 by 3
    • d) A square of side 6

  3. 3.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.

  4. 4.A regular hexagon has sides of 5 cm. What is its perimeter, in centimetres? Give just the number.

  5. 5.Every length here is in centimetres. Sort each shape by whether its perimeter is below 30 or above 30.

    Groups: Perimeter below 30 · Perimeter above 30

    • A rectangle 10 by 4
    • A regular pentagon of side 7
    • A regular hexagon of side 6
    • A rectangle 9 by 7
    • A triangle with sides 8, 9 and 10
    • A square of side 6

  6. 6.A square has a perimeter of 32 cm. How long is each side, in centimetres? Give just the number.

  7. 7.A triangle has a perimeter of 24 cm. Two of its sides are 9 cm and 7 cm. How long is the third side, in centimetres? Give just the number.

  8. 8.A triangle has sides of 6 cm, 8 cm and 5 cm. What is its perimeter, in centimetres? Give just the number.

Perimeter: once round the outside · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 12 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.

123
  1. 1. Shape A
  2. 2. Shape B
  3. 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. 1.Two shapes look completely different, but each covers 12 squares. What can you say about them?

    • a) You cannot compare their areas
    • b) Their areas are the same
    • c) The taller one has the larger area
    • d) The wider one has the larger area

  2. 2.A rectangle on squared paper is 9 squares across and 5 squares down. How many squares does it cover?

  3. 3.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
    • 20
    • 6

  4. 4.A rectangle on squared paper is 7 squares across and 4 squares down. How many squares does it cover?

  5. 5.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?

  6. 6.An L-shape is made of a rectangle 5 squares by 3 squares joined to a rectangle 2 squares by 2 squares. How many squares does it cover altogether?

  7. 7.A rectangle covers 24 squares and is 6 squares across. How many squares tall is it?

  8. 8.Which rectangle covers the most squares?

    • a) 2 across and 8 down
    • b) 3 across and 6 down
    • c) 4 across and 4 down
    • d) 5 across and 3 down

Area by counting squares · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 13 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.

123
  1. 1. The radius
  2. 2. The diameter
  3. 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. 1.What is the name for a straight line drawn from the middle of a circle out to its edge?

  2. 2.What is the name for a straight line that crosses a circle from edge to edge, passing through the middle?

  3. 3.What is the name for the point exactly in the middle of a circle?

  4. 4.Tap the centre that is marked.

    Write the number of the part.

    123

  5. 5.Tap the radius.

    Write the number of the part.

    123

  6. 6.Match each circle's radius to the diameter of the same circle.

    • radius 3
    • radius 5
    • radius 8
    • radius 11
    • 6
    • 22
    • 10
    • 16

  7. 7.A circle has a radius of 6 cm. What is its diameter, in centimetres?

    • a) 6
    • b) 36
    • c) 12
    • d) 3

  8. 8.Put these circles in order by size, smallest first.

    • diameter 10
    • radius 4
    • radius 7
    • radius 2
    • diameter 6

Circles: centre, radius and diameter · Year 4 Maths · www.arenapublications.com/learn

Year 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. 1.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?

  2. 2.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

    • Tuesday
    • Monday
    • Wednesday
    • Thursday

  3. 3.On a bar chart one square of the scale stands for 10 people. A bar is four and a half squares tall. How many people does it stand for?

    • a) 50
    • b) 40
    • c) 410
    • d) 45

  4. 4.A chart shows 22 visitors on Monday, 15 on Tuesday, 30 on Wednesday and 18 on Thursday. Put the days in order, fewest visitors first.

    • Wednesday
    • Thursday
    • Monday
    • Tuesday

  5. 5.A bar chart shows 9, 14, 6 and 11 visitors across four days. How many visitors were there altogether?

  6. 6.Why does a bar chart need a scale up the side?

    • a) So that the chart has a title
    • b) So that every bar is the same width
    • c) So that the bars look neat
    • d) So that the height of a bar can be read as a number

  7. 7.On a bar chart each square of the scale stands for 5 books. A bar is 7 squares tall. How many books does it stand for?

  8. 8.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
    • 8
    • 28
    • 12
    • 20

Reading bar charts · Year 4 Maths · www.arenapublications.com/learn

Answer keys — Year 4 Maths

In the same order as the worksheets.

Numbers beyond a thousand

  1. 1. 5,214 → 5000; 1,528 → 500; 3,157 → 50; 8,435 → 5
  2. 2. 4500
  3. 3. 1. 2,905 2. 2,950 3. 5,029 4. 5,092 5. 9,205
  4. 4. 6000
  5. 5. a) 6004
  6. 6. 4060
  7. 7. d) 7,802
  8. 8. 3000

Multiplying two digits by one

  1. 1. 1. 14 × 3 2. 21 × 4 3. 33 × 5 4. 26 × 8
  2. 2. 23 × 4 → Below 200; 36 × 3 → Below 200; 47 × 5 → Above 200; 52 × 6 → Above 200; 18 × 7 → Below 200; 29 × 8 → Above 200
  3. 3. d) 20 × 5 + 4 × 5
  4. 4. 405
  5. 5. 126
  6. 6. 312
  7. 7. 128
  8. 8. 92

Multiplying larger numbers

  1. 1. 702
  2. 2. 18 × 20 → Below 500; 42 × 9 → Below 500; 62 × 8 → Below 500; 130 × 4 → Above 500; 75 × 8 → Above 500; 111 × 6 → Above 500
  3. 3. 864
  4. 4. a) 25 × 10 + 25 × 6
  5. 5. 2090
  6. 6. 1842
  7. 7. 322
  8. 8. 1000

Division with remainders

  1. 1. 9
  2. 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. 3. 6
  4. 4. 24
  5. 5. 2
  6. 6. b) 6
  7. 7. 5
  8. 8. 5

Equivalent fractions

  1. 1. 1/4 → 3/12; 2/5 → 4/10; 3/8 → 6/16; 5/6 → 10/12
  2. 2. d) 2/6
  3. 3. they show the same amount
  4. 4. 6
  5. 5. 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
  6. 6. 20
  7. 7. a) 4/6
  8. 8. a) 1/2

Comparing and ordering fractions

  1. 1. 4
  2. 2. 3
  3. 3. 1/3 → Smaller than a half; 3/4 → Larger than a half; 2/5 → Smaller than a half; 5/8 → Larger than a half; 1/6 → Smaller than a half; 7/10 → Larger than a half
  4. 4. 1. 1/10 2. 1/6 3. 1/4 4. 1/3 5. 1/2
  5. 5. c) 2/7
  6. 6. a) 1/10
  7. 7. 1/2 → 3/6; 1/4 → 2/8; 1/3 → 4/12; 2/3 → 8/12
  8. 8. 4

Patterns and tiling

  1. 1. 60
  2. 2. 15
  3. 3. 1. A scalene triangle 2. An isosceles triangle 3. A rectangle that is not a square 4. An equilateral triangle 5. A square
  4. 4. Square → Tiles with no gaps; Regular hexagon → Tiles with no gaps; Equilateral triangle → Tiles with no gaps; Regular pentagon → Leaves gaps; Circle → Leaves gaps; Regular octagon → Leaves gaps
  5. 5. 32
  6. 6. c) A regular hexagon
  7. 7. Square → 4; Equilateral triangle → 3; Rectangle that is not a square → 2; Isosceles triangle → 1; Scalene triangle → 0
  8. 8. a) Green

Changing between units of measure

  1. 1. 2000
  2. 2. 7
  3. 3. 1. 50 centimetres 2. 2 metres 3. 350 centimetres 4. 9 metres 5. 1 kilometres
  4. 4. 60 centimetres → Less than 1 metres; 150 centimetres → More than 1 metres; 99 centimetres → Less than 1 metres; 3 metres → More than 1 metres; 250 centimetres → More than 1 metres; 45 centimetres → Less than 1 metres
  5. 5. 1 metres → 100 centimetres; 3 metres → 300 centimetres; 1 kilometres → 1,000 metres; 1 kg → 1,000 g; 2 kg → 2,000 g
  6. 6. 400
  7. 7. a) centimetres
  8. 8. 5

Time and how long things last

  1. 1. a) 8:25
  2. 2. 45
  3. 3. A walk of 25 minutes → Less than an hour; A film of 90 minutes → More than an hour; A lesson of 45 minutes → Less than an hour; A train journey of 3 hours → More than an hour; A swim of 55 minutes → Less than an hour; A match of 2 hours → More than an hour
  4. 4.
    • 3:45
    • 3.45
    • quarter to four
    • 3:45 pm
  5. 5. b) 2 hours
  6. 6. 12
  7. 7. 180
  8. 8.
    • 7:40
    • 7.40
    • twenty to eight
    • 7:40 am

Money problems

  1. 1. 9
  2. 2. 325
  3. 3. 219
  4. 4. a) 4 rulers at $18 each
  5. 5. 65
  6. 6. 1. $45 2. $54 3. $145 4. $405 5. $450
  7. 7. 60
  8. 8. 43

Perimeter: once round the outside

  1. 1. Triangle → 18; Square → 24; Pentagon → 30; Hexagon → 36; Octagon → 48
  2. 2. b) A regular pentagon of side 5
  3. 3. 23
  4. 4. 30
  5. 5. A square of side 6 → Perimeter below 30; A rectangle 10 by 4 → Perimeter below 30; A rectangle 9 by 7 → Perimeter above 30; A regular pentagon of side 7 → Perimeter above 30; A triangle with sides 8, 9 and 10 → Perimeter below 30; A regular hexagon of side 6 → Perimeter above 30
  6. 6. 8
  7. 7. 8
  8. 8. 19

Area by counting squares

  1. 1. b) Their areas are the same
  2. 2. 45
  3. 3. 2 across and 3 down → 6; 3 across and 3 down → 9; 4 across and 5 down → 20; 6 across and 6 down → 36
  4. 4. 28
  5. 5. 14
  6. 6. 19
  7. 7. 4
  8. 8. b) 3 across and 6 down

Circles: centre, radius and diameter

  1. 1. radius
  2. 2. diameter
  3. 3. centre
  4. 4. 3 — The centre
  5. 5. 1 — The radius
  6. 6. radius 3 → 6; radius 5 → 10; radius 8 → 16; radius 11 → 22
  7. 7. c) 12
  8. 8. 1. radius 2 2. diameter 6 3. radius 4 4. diameter 10 5. radius 7

Reading bar charts

  1. 1. 9
  2. 2. Monday → More than 20; Tuesday → Fewer than 20; Wednesday → More than 20; Thursday → Fewer than 20
  3. 3. d) 45
  4. 4. 1. Tuesday 2. Thursday 3. Monday 4. Wednesday
  5. 5. 40
  6. 6. d) So that the height of a bar can be read as a number
  7. 7. 35
  8. 8. 2 squares → 8; 3 squares → 12; 5 squares → 20; 7 squares → 28

Year 4 Maths · www.arenapublications.com/learn