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Term pack

Year 5 Maths

Name: ________________________

Skills in this pack

  • Numbers up to six digits
  • Multiplying two digits by one
  • Multiplying larger numbers
  • Division with remainders
  • Factor pairs and multiples
  • Comparing and ordering fractions
  • Adding and subtracting decimals
  • Area and perimeter
  • Changing between units of measure
  • Angles and the protractor
  • Circles: centre, radius and diameter

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Year 5 Maths · 1 of 11

Numbers up to six digits

Read, compare, order and round whole numbers up to six digits.

Before you start

This line runs from zero to one hundred thousand in steps of ten thousand. Look at where each number falls, and how far apart the steps are.

020000400006000080000100000

Every one of those steps is ten thousand. A six-digit number is a whole line like this one and then more.

  1. 1.Round 47382 to the nearest thousand.

  2. 2.How many thousands make 60000?

  3. 3.What number is one more than 89999?

  4. 4.Match each number to what its 5 is worth.

    • 25130
    • 51302
    • 13052
    • 10325
    • 13520
    • 500
    • 50
    • 5000
    • 5
    • 50000

  5. 5.Put these in order, smallest first.

    • 84205
    • 48520
    • 84025
    • 48250

  6. 6.Sort each number by how many digits it has.

    Groups: Five digits or fewer · Six digits

    • 150000
    • 234000
    • 99999
    • 100001
    • 87654
    • 98760

  7. 7.47382 lies between two hundreds. Tap the hundred it rounds to.

    Mark the line with an X.

    470004750048000

  8. 8.In 348617, what is the 4 worth?

    • a) 4 hundred thousands
    • b) 4 ten thousands
    • c) 4 thousands
    • d) 4 hundreds

Numbers up to six digits · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 2 of 11

Multiplying two digits by one

Multiply a two-digit number by a single digit.

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

    Groups: Below 200 · Above 200

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

  2. 2.52 × 6 = ?

  3. 3.18 × 7 = ?

  4. 4.45 × 9 = ?

  5. 5.47 × 5 = ?

  6. 6.23 × 4 = ?

  7. 7.Match each multiplication to its answer.

    • 24 × 3
    • 31 × 5
    • 43 × 6
    • 27 × 4
    • 72
    • 108
    • 258
    • 155

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

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

Multiplying two digits by one · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 3 of 11

Multiplying larger numbers

Multiply a three-digit number by a single digit, and a two-digit number by a two-digit number.

  1. 1.Match each multiplication to its answer.

    • 102 × 4
    • 213 × 3
    • 150 × 6
    • 220 × 5
    • 408
    • 639
    • 900
    • 1100

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

    Groups: Below 500 · Above 500

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

  3. 3.23 × 14 = ?

  4. 4.45 × 12 = ?

  5. 5.307 × 6 = ?

  6. 6.Work each one out, then put them in order, smallest answer first.

    • 40 × 8
    • 25 × 9
    • 12 × 12
    • 30 × 6
    • 14 × 15

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

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

  8. 8.125 × 8 = ?

Multiplying larger numbers · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 4 of 11

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.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
    • 70 ÷ 4
    • 63 ÷ 9
    • 36 ÷ 6
    • 40 ÷ 5

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

  3. 3.138 ÷ 6 = ?

  4. 4.Match each division to what is left over.

    • 29 ÷ 7
    • 30 ÷ 4
    • 23 ÷ 5
    • 34 ÷ 6
    • 41 ÷ 6
    • 4
    • 5
    • 1
    • 3
    • 2

  5. 5.Which division leaves nothing over?

    • a) 75 ÷ 8
    • b) 73 ÷ 8
    • c) 74 ÷ 8
    • d) 72 ÷ 8

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

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

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

Division with remainders · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 5 of 11

Factor pairs and multiples

Find the factor pairs of a number, list its multiples, and spot factors and multiples two numbers share.

  1. 1.Which of these is a common multiple of 5 and 6?

    • a) 50
    • b) 30
    • c) 25
    • d) 36

  2. 2.Sort each number by whether it divides 36 exactly.

    Groups: A factor of 36 · Not a factor of 36

    • 6
    • 5
    • 24
    • 12
    • 15
    • 4
    • 9
    • 8

  3. 3.20 tiles are laid out in equal rows of 4. How many rows are there?

  4. 4.Exactly one number on this line is a multiple of 9. Tap it.

    Mark the line with an X.

    2021222324252627282930

  5. 5.Which number is a multiple of both 3 and 4?

    • a) 9
    • b) 16
    • c) 22
    • d) 24

  6. 6.One factor of 18 is missing from this list: 1, 2, 3, 6, 18. Which one?

  7. 7.Which of these numbers is a factor of 24?

    • a) 9
    • b) 7
    • c) 8
    • d) 5

  8. 8.What is the fifth multiple of 8?

Factor pairs and multiples · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 6 of 11

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

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

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

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

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

    • 7/8
    • 5/8
    • 2/8
    • 1/8

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

  5. 5.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.

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

  7. 7.Each of these is one piece of a whole. Which piece is the largest?

    • a) 1/3
    • b) 1/9
    • c) 1/6
    • d) 1/5

  8. 8.Which of these fractions is worth exactly 1?

    • a) 5/5
    • b) 5/4
    • c) 4/5
    • d) 1/5

Comparing and ordering fractions · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 7 of 11

Adding and subtracting decimals

Add and subtract numbers with tenths and hundredths by keeping the columns lined up.

Before you start

This line runs from 0 to 1. The numbered ticks are tenths, and the plain ticks between them fall halfway again. Look at how far apart 0.05 and 0.5 really are.

0.000.100.200.300.400.500.600.700.800.901.00

Ten hundredths make one tenth. That is why 0.5 is far bigger than 0.05, even though both are written with a 5.

  1. 1.One jug holds 1.5 litres and another holds 0.75 litres. How much do they hold together, in litres? Give just the number.

  2. 2.0.75 + 0.25 = ?

  3. 3.2.5 + 1.3 = ?

  4. 4.Which of these is 1.05 + 0.9?

    • a) 2.05
    • b) 1.95
    • c) 1.14
    • d) 1.85

  5. 5.Work each one out, then put them in order, smallest answer first.

    • 3.6 - 0.7
    • 1.9 + 0.5
    • 1.2 + 0.3
    • 2.5 - 0.4

  6. 6.4.6 + 2.35 = ?

  7. 7.Tap where 2.6 + 0.7 lands.

    Mark the line with an X.

    2.02.53.03.54.0

  8. 8.Match each subtraction to its answer.

    • 1 - 0.4
    • 1 - 0.25
    • 1 - 0.05
    • 1 - 0.9
    • 1 - 0.5
    • 0.95
    • 0.1
    • 0.75
    • 0.6
    • 0.5

Adding and subtracting decimals · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 8 of 11

Area and perimeter

Work out the area and perimeter of a rectangle.

  1. 1.A rectangle is 8 m by 4 m. What is its area, in square metres?

  2. 2.A rectangle has an area of 24 square centimetres and a length of 6 cm. How wide is it, in centimetres?

  3. 3.A square has sides of 6 cm. What is its perimeter, in centimetres?

  4. 4.Every rectangle here is measured in centimetres. Which one has the largest perimeter?

    • a) 3 by 9
    • b) 4 by 7
    • c) 2 by 6
    • d) 5 by 5

  5. 5.A square has sides of 6 cm. What is its area, in square centimetres?

  6. 6.Every rectangle here is measured in centimetres. Match each rectangle to its area, in square centimetres.

    • 4 by 5
    • 3 by 9
    • 6 by 6
    • 7 by 4
    • 28
    • 36
    • 27
    • 20

  7. 7.Every rectangle here is measured in centimetres. Put them in order, smallest perimeter first.

    • 5 by 4
    • 8 by 3
    • 4 by 3
    • 2 by 3

  8. 8.A rectangle is 6 cm by 4 cm. Which point on the line is its perimeter, in centimetres?

    Mark the line with an X.

    010203040

Area and perimeter · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 9 of 11

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

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

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

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

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

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

  5. 5.A ribbon is 2 metres and 35 centimetres long. How long is it in centimetres altogether? Give just the number.

  6. 6.A rope 5 metres long is cut into pieces each 50 centimetres long. How many pieces are there? Give just the number.

  7. 7.A parcel has a mass of 3 kg and 400 g. What is its mass in g altogether? Give just the number.

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

Changing between units of measure · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 10 of 11

Angles and the protractor

Name an angle as acute, right, obtuse or straight, and measure one with a protractor.

  1. 1.How many right angles make a full turn?

  2. 2.Three angles are drawn below. Tap the obtuse one.

    Write the number of the part.

    123

  3. 3.How many degrees are there in a half turn?

  4. 4.An angle is a third of a half turn. How many degrees is it?

  5. 5.An angle measures 45°. What kind of angle is it?

    • a) Straight
    • b) Acute
    • c) Obtuse
    • d) Right

  6. 6.How many degrees are there in a right angle?

  7. 7.Sort each angle by its name.

    Groups: Acute · Obtuse

    • 175°
    • 89°
    • 95°
    • 150°
    • 12°
    • 30°

  8. 8.An angle measures 130°. What kind of angle is it?

    • a) Obtuse
    • b) Right
    • c) Straight
    • d) Acute

Angles and the protractor · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 11 of 11

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.Every measurement here is in centimetres. Sort each circle by whether its diameter is below 20 or above 20.

    Groups: Diameter below 20 · Diameter above 20

    • radius 15
    • radius 12
    • radius 6
    • radius 8
    • diameter 15
    • diameter 26

  2. 2.Tap the radius.

    Write the number of the part.

    123

  3. 3.A round table top has a diameter of 90 cm. How far is it from the middle of the table to its edge, in centimetres?

    • a) 90
    • b) 30
    • c) 45
    • d) 180

  4. 4.A circle has a diameter of 20 cm. What is its radius, in centimetres?

    • a) 5
    • b) 10
    • c) 40
    • d) 20

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

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

  6. 6.What is the name for a straight line drawn from the middle of a circle out to its edge?

  7. 7.Tap the centre that is marked.

    Write the number of the part.

    123

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

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

Circles: centre, radius and diameter · Year 5 Maths · www.arenapublications.com/learn

Answer keys — Year 5 Maths

In the same order as the worksheets.

Numbers up to six digits

  1. 1. 47000
  2. 2. 60
  3. 3. 90000
  4. 4. 25130 → 5000; 51302 → 50000; 13052 → 50; 10325 → 5; 13520 → 500
  5. 5. 1. 48250 2. 48520 3. 84025 4. 84205
  6. 6. 98760 → Five digits or fewer; 100001 → Six digits; 87654 → Five digits or fewer; 234000 → Six digits; 99999 → Five digits or fewer; 150000 → Six digits
  7. 7. 47400
  8. 8. b) 4 ten thousands

Multiplying two digits by one

  1. 1. 23 × 4 → Below 200; 36 × 3 → Below 200; 47 × 5 → Above 200; 52 × 6 → Above 200; 18 × 7 → Below 200; 29 × 8 → Above 200
  2. 2. 312
  3. 3. 126
  4. 4. 405
  5. 5. 235
  6. 6. 92
  7. 7. 24 × 3 → 72; 31 × 5 → 155; 43 × 6 → 258; 27 × 4 → 108
  8. 8. 1. 14 × 3 2. 21 × 4 3. 33 × 5 4. 26 × 8

Multiplying larger numbers

  1. 1. 102 × 4 → 408; 213 × 3 → 639; 150 × 6 → 900; 220 × 5 → 1100
  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. 322
  4. 4. 540
  5. 5. 1842
  6. 6. 1. 12 × 12 2. 30 × 6 3. 14 × 15 4. 25 × 9 5. 40 × 8
  7. 7. d) 25 × 10 + 25 × 6
  8. 8. 1000

Division with remainders

  1. 1. 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
  2. 2. 2
  3. 3. 23
  4. 4. 29 ÷ 7 → 1; 30 ÷ 4 → 2; 23 ÷ 5 → 3; 34 ÷ 6 → 4; 41 ÷ 6 → 5
  5. 5. d) 72 ÷ 8
  6. 6. 5
  7. 7. 9
  8. 8. 6

Factor pairs and multiples

  1. 1. b) 30
  2. 2. 4 → A factor of 36; 5 → Not a factor of 36; 6 → A factor of 36; 8 → Not a factor of 36; 9 → A factor of 36; 12 → A factor of 36; 15 → Not a factor of 36; 24 → Not a factor of 36
  3. 3. 5
  4. 4. 27
  5. 5. d) 24
  6. 6. 9
  7. 7. c) 8
  8. 8. 40

Comparing and ordering fractions

  1. 1. b) 2/7
  2. 2. 1/2 → 3/6; 1/4 → 2/8; 1/3 → 4/12; 2/3 → 8/12
  3. 3. 1. 1/8 2. 2/8 3. 5/8 4. 7/8
  4. 4. 4
  5. 5.
    • 2/3
    • 2 / 3
    • two thirds
    • two-thirds
  6. 6. 3
  7. 7. a) 1/3
  8. 8. a) 5/5

Adding and subtracting decimals

  1. 1. 2.25
  2. 2. 1
  3. 3. 3.8
  4. 4. b) 1.95
  5. 5. 1. 1.2 + 0.3 2. 2.5 - 0.4 3. 1.9 + 0.5 4. 3.6 - 0.7
  6. 6. 6.95
  7. 7. 3.3
  8. 8. 1 - 0.4 → 0.6; 1 - 0.25 → 0.75; 1 - 0.05 → 0.95; 1 - 0.9 → 0.1; 1 - 0.5 → 0.5

Area and perimeter

  1. 1. 32
  2. 2. 4
  3. 3. 24
  4. 4. a) 3 by 9
  5. 5. 36
  6. 6. 4 by 5 → 20; 3 by 9 → 27; 6 by 6 → 36; 7 by 4 → 28
  7. 7. 1. 2 by 3 2. 4 by 3 3. 5 by 4 4. 8 by 3
  8. 8. 20

Changing between units of measure

  1. 1. 400
  2. 2. 1. 50 centimetres 2. 2 metres 3. 350 centimetres 4. 9 metres 5. 1 kilometres
  3. 3. 5
  4. 4. d) centimetres
  5. 5. 235
  6. 6. 10
  7. 7. 3400
  8. 8. 2000

Angles and the protractor

  1. 1. 4
  2. 2. 3 — Angle C
  3. 3. 180
  4. 4. 60
  5. 5. b) Acute
  6. 6. 90
  7. 7. 30° → Acute; 95° → Obtuse; 89° → Acute; 150° → Obtuse; 12° → Acute; 175° → Obtuse
  8. 8. a) Obtuse

Circles: centre, radius and diameter

  1. 1. radius 6 → Diameter below 20; radius 12 → Diameter above 20; diameter 15 → Diameter below 20; diameter 26 → Diameter above 20; radius 8 → Diameter below 20; radius 15 → Diameter above 20
  2. 2. 1 — The radius
  3. 3. c) 45
  4. 4. b) 10
  5. 5. 1. radius 2 2. diameter 6 3. radius 4 4. diameter 10 5. radius 7
  6. 6. radius
  7. 7. 3 — The centre
  8. 8. d) 12

Year 5 Maths · www.arenapublications.com/learn