Decimals And Ratio Worksheet Page 8
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Serpil has £456.56 in her bank account.
Serpil has £456.56 in her bank account.
She pays her water bill of £21.69 and her phone bill of £15.99.
6 Check up
Log how you did on your
A shop refunds her £42.25.
Student Progression Chart.
How much is in her bank account now?
13 Work out
a 506.23 − 71.6 + 28.603
b 4999 + 235.6 + 0.037 − 34.89
Ordering and rounding
14 Work out
a 6.8 × 4.3
b 1.25 × 8.6
c 3.46 × 2.18
1 Copy and complete these. Put the correct sign, < or >, between each pair of numbers.
15 Work out
a 7.152
7.251
b 4.0531
4.0501
c 0.6091
0.6901
u
u
u
a 64 ÷ 0.8
b 38 ÷ 2.5
c 185 ÷ 1.25
2 Write each number as a decimal number of millions to 1 decimal place.
a 7 500 000
b 4 250 000
c 85 650 000
Ratio and proportion with decimals
3 Rearrange these decimal numbers in ascending order.
16 Write each ratio in its simplest form.
5.9281
5.90113
5.0982
5.9408
a 10 : 2.5
b 4.8 : 3
4 Rearrange these temperatures in descending order.
17 Share each quantity in the ratio given.
−30.5 ° C
−31.03 ° C
−31.3 ° C
−30.01 ° C
a 6.5 kg in the ratio 2 : 3
b 451 litres in the ratio 2 : 4 : 5
5 Round each number to three decimal places.
c £1000 in the ratio 1 : 3 : 5
a 7.1335
b 108.44958
18 A small pot of custard has 3.3 g of protein, 18 g of carbohydrate and 7.1 g of fat.
Place-value calculations
a What proportion of the custard is fat?
b A large pot weighs 3.5 times as much.
6
81 × 56 = 4536
How many grams of protein does the large pot contain?
Use this multiplication fact to work out these.
a 8.1 × 56
b 0.81 × 560
c 56 × 8100
19 Write each ratio as a unit ratio.
a 7 : 5
b 5 : 18
7 Work out
20 How sure are you of your answers? Were you mostly
a 708 × 0.1
b 41 × 0.01
c 6.11 × 0.01
J ust guessing
Feeling doubtful
Confi dent
8 Jane says that she can use an equivalent calculation to fi nd the answer
What next? Use your results to decide whether to strengthen or extend your learning.
to 4.03 ÷ 0.1
What calculation could she do?
Challenge
9 Work out
21 A string factory makes 1563.25 m of string each day.
a 734 ÷ 0.1
b 174 ÷ 0.01
c 253 ÷ 0.01
One ball of string uses 6.5 m.
10 To paint an area of 1 m
2
, you need 0.1 litres of emulsion paint.
a How many balls of string does the factory make in one day?
What is the maximum area that you can paint with 1 litre of paint?
b How many balls of string does the factory make in a week (Monday to Friday)?
22 Work out 1 ÷ 0.7
Decimal calculations
Write your answer to six decimal places.
11 Ollie bought these items.
Repeat for 2 ÷ 0.7, 3 ÷ 0.7, 4 ÷ 0.7, and so on.
What do you notice?
Milk £1.48
What happens if you work out 1 ÷ 1.4, 2 ÷ 1.4, and so on?
Bacon £2.75
Bread 89p
Juice £1.68
Low fat spread £1.49
What is the total cost?
149
Unit 6
Decimals and ratio
150
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