Term pack

Year 5 Maths

Name: ________________________

Skills in this pack

Multiplying and dividing larger numbers
Factor pairs and multiples
Unlike fractions and mixed numbers
How much for one?
Multiplying larger numbers
Division with remainders
Comparing and ordering fractions
Area and perimeter
Angles and the protractor
Nets of solids
Bar graphs with scales

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Year 5 Maths · 1 of 11

Multiplying and dividing larger numbers

Multiply by a two-digit number, divide with a remainder, and multiply or divide by 10, 100 and 1000.

1.7200 ÷ 10 = ?
2.23 × 14 = ?
3.What is the remainder when 47 is divided by 6?
4.Which of these is 48 × 25?
- a) 1250
- b) 960
- c) 1000
- d) 1200
5.125 × 12 = ?
6.96 ÷ 8 = ?
7.56 × 1000 = ?
8.Work each one out, then put them in order, smallest answer first.
- 12 × 12
- 18 × 10
- 23 × 9
- 15 × 11

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

Year 5 Maths · 2 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.What is the smallest number that is a multiple of both 4 and 6?
2.What is the fifth multiple of 8?
3.What is the largest number that is a factor of both 12 and 18?
4.20 tiles are laid out in equal rows of 4. How many rows are there?
5.Exactly one number on this line is a multiple of 9. Tap it.
Mark the line with an X.
6.Which of these numbers is a factor of 24?
- a) 8
- b) 9
- c) 7
- d) 5
7.Put these numbers in order, starting with the one that has the fewest factors.
- 7
- 9
- 12
- 24
8.12 = 3 × ? What is the missing factor?

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

Year 5 Maths · 3 of 11

Unlike fractions and mixed numbers

Add and subtract fractions with different denominators, and swap between mixed numbers and improper fractions.

1.Put these fractions in order, smallest first.
- 1/2
- 1/3
- 1/6
- 2/3
2.A film lasts 3 1/2 hours, and 1 1/4 hours of it have been watched. How much is left? Write your answer as a mixed number.
3.Three eighths of a cake are eaten in the morning and two eighths in the afternoon. What fraction of the cake has been eaten? Write your answer as a fraction.
4.3/4 - 1/8 = ? Write your answer as a fraction.
5.1/2 + 1/5 = ? Write your answer as a fraction.
6.2/3 + 1/6 = ? Write your answer as a fraction.
7.One job takes 1 1/4 hours and another takes 1/2 an hour. How long do they take altogether? Write your answer as a mixed number.
8.Write 7/4 as a mixed number.

Unlike fractions and mixed numbers · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 4 of 11

How much for one?

Find what one thing costs or weighs, then use it to work out any number of them.

1.4 pens cost $60. What does 1 pen cost? Give just the number.
2.6 identical books weigh 18 kg altogether. What does 1 book weigh, in kilograms? Give just the number.
3.A machine makes 120 bottles in 4 hours. How many does it make in 9 hours?
4.Work out what one costs in each deal, then sort the deals.
Groups: One costs less than $10 · One costs $10 or more
- 4 for $80
- 6 for $42
- 3 for $27
- 2 for $30
- 4 for $24
- 5 for $60
5.4 pens cost $60. What do 7 pens cost? Give just the number.
6.Which of these is better value?
- a) There is no way to tell
- b) 8 pencils for $40
- c) They cost the same each
- d) 5 pencils for $30
7.9 apples cost $72. What does one apple cost?
- a) 9
- b) 8
- c) 6
- d) 7
8.1 notebook costs $25. What do 6 notebooks cost? Give just the number.

How much for one? · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 5 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.Work out each multiplication, then sort it by whether the answer is below 500 or above 500.
Groups: Below 500 · Above 500
- 62 × 8
- 42 × 9
- 130 × 4
- 18 × 20
- 75 × 8
- 111 × 6
2.36 × 21 = ?
3.Work each one out, then put them in order, smallest answer first.
- 14 × 15
- 40 × 8
- 12 × 12
- 30 × 6
- 25 × 9
4.23 × 14 = ?
5.234 × 3 = ?
6.60 × 30 = ?
7.125 × 8 = ?
8.45 × 12 = ?

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

Year 5 Maths · 6 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.

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.Work out each division, then sort it by whether it goes exactly or leaves something over.
Groups: Goes exactly · Leaves something over
- 40 ÷ 5
- 45 ÷ 7
- 63 ÷ 9
- 36 ÷ 6
- 70 ÷ 4
- 50 ÷ 8
2.Which division leaves nothing over?
- a) 73 ÷ 8
- b) 72 ÷ 8
- c) 74 ÷ 8
- d) 75 ÷ 8
3.138 ÷ 6 = ?
4.Divide 68 by 7. What is left over?
5.96 ÷ 4 = ?
6.There are 53 apples to be packed into bags of 8. How many apples are left over?
7.There are 53 apples to be packed into bags of 8. How many full bags are there?
8.Divide 47 by 5. What is left over?

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

Year 5 Maths · 7 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.Sort each fraction by whether it is smaller or larger than one half.
Groups: Smaller than a half · Larger than a half
- 1/6
- 7/10
- 1/3
- 5/8
- 2/5
- 3/4
2.The pieces are all eighths. Which fraction is the largest?
- a) 2/8
- b) 1/8
- c) 3/8
- d) 5/8
3.Put these fractions in order, smallest first.
- 5/8
- 1/8
- 7/8
- 2/8
4.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
5.Each of these is one piece of a whole. Which piece is the smallest?
- a) 1/10
- b) 1/2
- c) 1/3
- d) 1/4
6.Match each fraction to the fraction worth exactly the same amount.
- 1/2
- 1/4
- 1/3
- 2/3
- 4/12
- 3/6
- 2/8
- 8/12
7.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.
8.Put these fractions in order, smallest first.
- 1/10
- 1/4
- 1/3
- 1/2
- 1/6

Comparing and ordering fractions · 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.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
2.A rectangle is 8 m by 4 m. What is its area, in square metres?
3.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
- 20
- 27
- 28
- 36
4.A rectangle is 5 cm long and 3 cm wide. What is its area, in square centimetres?
5.A rectangle is 8 m by 4 m. What is its perimeter, in metres?
6.Every rectangle here is measured in centimetres. Put them in order, smallest perimeter first.
- 5 by 4
- 4 by 3
- 2 by 3
- 8 by 3
7.A rectangle is 6 cm by 4 cm. Which point on the line is its perimeter, in centimetres?
Mark the line with an X.
8.Every rectangle here is measured in centimetres. Sort them by whether the area is below 30 square centimetres or above it.
Groups: Below 30 · Above 30
- 4 by 9
- 6 by 6
- 7 by 5
- 2 by 8
- 5 by 5
- 3 by 4

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

Year 5 Maths · 9 of 11

Angles and the protractor

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

1.Three angles are drawn below. Tap the obtuse one.
Write the number of the part.
2.How many degrees are there in a right angle?
3.An angle measures 45°. What kind of angle is it?
- a) Straight
- b) Acute
- c) Right
- d) Obtuse
4.How many right angles make a full turn?
5.An angle is measured with a protractor. One arm reads 20 and the other reads 75. How many degrees is the angle?
6.Put these angles in order, smallest first.
- 25°
- 90°
- 170°
- 70°
- 135°
7.Match each angle to what it is called.
- 40°
- 90°
- 120°
- 180°
- Straight
- Right
- Obtuse
- Acute
8.How many degrees are there in a half turn?

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

Year 5 Maths · 10 of 11

Nets of solids

Say which solid a net folds into, and which flat shapes a solid's net is made from.

Before you start

Here is a cube opened out flat. Find out which face of the finished cube each flat square folds up to become.

1. The top
2. The left-hand face
3. The front
4. The right-hand face
5. The back
6. The bottom

The front stays where it is and the other five fold up around it. Six squares and six faces, each appearing exactly once — a net with a square missing or a square repeated folds into nothing at all.

1.Match each solid to what its net is made of.
- Cube
- Cylinder
- Cone
- Square-based pyramid
- Triangular prism
- 6 squares
- 2 triangles and 3 rectangles
- 2 circles and 1 rectangle
- 1 square and 4 triangles
- 1 circle and 1 curved piece
2.A net has six rectangles and not one of them is a square. Write the name of the solid it folds into.
3.A net is made of two circles and one rectangle. Which solid does it fold into?
- a) Sphere
- b) Cylinder
- c) Cone
- d) Cube
4.A net is made of one circle and one curved piece. Which solid does it fold into?
- a) Cylinder
- b) Triangular prism
- c) Cuboid
- d) Cone
5.A cylinder is unfolded into its net. Write the name of the flat shape that appears twice in it.
6.The net of a square-based pyramid has four triangles and one square. How many faces will the pyramid have?
7.A net is made of one square and four triangles. Which solid does it fold into?
- a) Cylinder
- b) Square-based pyramid
- c) Cube
- d) Triangular prism
8.A net folds up into a cuboid. How many rectangles does the net have?

Nets of solids · Year 5 Maths · www.arenapublications.com/learn

Year 5 Maths · 11 of 11

Bar graphs with scales

Read values off a bar graph whose scale counts in steps of more than one, and choose a sensible scale of your own.

1.This bar graph shows how many people visited a library on four days. Tap the bar for the day with the fewest visitors.
Write the number of the part.
2.A bar graph's scale counts in fives. Match each bar to the number it shows.
- 2 lines up
- 3 lines up
- 5 lines up
- 8 lines up
- 12 lines up
- 40
- 10
- 25
- 15
- 60
3.A bar graph's scale counts in threes. A bar shows 21. How many lines tall is it?
4.A bar graph's scale counts in fours. Put these bars in order, shortest first.
- 3 lines up
- 7 lines up
- 2 lines up
- 5 lines up
5.A bar graph's scale counts in tens. A bar reaches exactly halfway between 30 and 40. What number does it show?
6.A bar graph's scale counts in twos. A bar is level with the seventh line above zero. What number does it show?
7.A bar graph has four bars, showing 60, 45, 30 and 25. What is the difference between the tallest bar and the shortest?
8.A bar graph has four bars, showing 60, 45, 30 and 25. What do the four bars add up to?

Bar graphs with scales · Year 5 Maths · www.arenapublications.com/learn

Answer keys — Year 5 Maths

In the same order as the worksheets.