Decimals And Ratio Worksheet (Page 10 of 13) in pdf

5 Use equivalent calculations to work out these.

4 Simplify each ratio.

a 5.28 × 0.1

a 6.5 : 3

Q4 Strategy hint

Q5 Strategy hint

b 9.75 ÷ 100

b 8.5 : 3

Choose a number to multiply

c 7.51 ÷ 0.1

c 4.8 : 2

Look at the spider diagram on

by that will give a whole number.

page 152.

d 0.98 ÷ 0.01

d 5.4 : 6.6

6.5 : 3

‘×10’ is equivalent to ‘÷0.1’

e 0.43 × 0.01

×2

5 A recipe serves 12 people.

13 : 6

‘×0.1’ is equivalent to ‘÷10’

How much of each ingredient would you need to serve 15 people?

3.2 × 4.6 = 14.72

Use this multiplication fact to work out these.

Ingredient

12 people

15 people

Q6a hint

Q5 Strategy hint

a 32 × 4.6

ﬂ our

250 g

b 32 × 46

3.2 × 4.6 = 14.72

Work out the amounts for one

eggs

×10

person ﬁ rst.

32 × 4.6 =

c 0.32 × 4.6

sugar

200 g

d 0.32 × 0.46

15 people

butter

175 g

12 people

milk

150 m l

0.25 × 58 = 14.5

Use this multiplication fact to work out these.

250 g

6 Modern digital cameras take pictures in a rectangular shape.

Q1a hint

4 eggs

a 2.5 × 5.8

The ratio of width to height is 3 : 2.

b 25 × 58

Always line up the decimal points

Copy and complete the table to show the missing dimensions.

when adding in columns.

Give your answers to one decimal place.

Q6 hint

Decimal calculations

7 . 5 8

+ 8 . 2

Width of image

Height of image

W : H

1 Work out these additions. Use a written method.

3 : 2

6 cm

×?

a 7.58 + 8.2

6 :

10 cm

b 9.75 + 12.4

15 cm

Q2a hint

c 1.245 + 2.03

W : H

24 cm

3 : 2

d 5.102 + 789.2

×?

Always line up the decimal points

18.5 cm

: 10

when subtracting in columns.

2 Work out these subtractions. Use a written method.

16.4 cm

1 .

1 . 5 0

a 21.5 − 9.87

35.6 cm

–

9 . 8 7

b 28.4 − 0.015

1 1 . 6 3

c 1235.4 − 1.245

Enrichment

d 5.1548 − 0.0145

Q3a hint

Reasoning

All three pictures have their sides in the same ratio.

3 Work out these divisions. Use a written method.

4.5 cm

13.5 cm

It is easier to divide by a whole

Give your answers to one decimal place where appropriate.

number.

a 24.32 ÷ 3.2

3.5 cm

24.32 ÷ 3.2

b 1221.42 ÷ 4.2

4 cm

×10

243.2 ÷ 32

c 64 953 ÷ 1.4

d 81.45 ÷ 6.5

Q1 hint

Ratio and proportion with decimals

There are ﬁ ve parts.

1 A piece of rope is 8.5 m long. Josie cuts it in the ratio 3 : 2.

8.5 ÷ 5 gives the length of one part.

How long will each piece be?

a Work out the missing lengths.

8.5 m

b Work out the area of each picture.

2 A piece of wood is 12.6 m long. Alex cuts it in the ratio 4 : 3 : 1.

c How many times bigger is the area of the largest picture than the

How long will each piece be?

area of the smallest one?

3 Tips at a hotel are shared between the receptionists, porters and

2 Reﬂ ect The hints in these Strengthen lessons used lots of diagrams.

Q2 hint

cleaners in the ratio 2 : 4 : 5.

Look back at the diagrams in the hints.

12.6 m

The total tips for two days were

Which diagrams did you ﬁ nd most useful? Why?

Saturday

£90.75

Which diagrams did you ﬁ nd least useful? Why?

Sunday

£278.96

How much did each group receive on each day?

153

Unit 6

Decimals and ratio

154

Decimals And Ratio Worksheet Page 10

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