Decimals And Ratio Worksheet Page 13
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P135
P149
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Ben makes orange paint by mixing red, yellow and white paint in the
Ben makes orange paint by mixing red, yellow and white paint in the
6 Unit test
ratio 20 : 16 : 1.5.
Log how you did on your
How much of each colour does he need to make 1.5 litres of orange
Student Progression Chart.
paint?
13
471 × 34 = 16 014
Use this multiplication fact to work out
a 4.71 × 0.34
b 0.471 × 34
1 Round each amount to two decimal places.
c 47.1 × 0.034
d 0.471 × 0.34
a £66.255
b £134.0875
c £236.625
14 50 inches is about the same distance as 127 cm.
2 This table shows the distance between London and four other large cities.
What is the ratio of inches to cm?
Round each distance to the nearest 1000 km.
Give your answer as a unit ratio.
From
To
Distance
15 Work out
London
Auckland
18 327 km
a 54.18 × 6.7
b 78.03 ÷ 1.7
London
Tokyo
9 582 km
London
Buenos Aires
11 102 km
16 Copy and complete these. Put the correct sign, < or >, between each
London
Los Angeles
8 778 km
pair of numbers.
a 40.43
58.57
b 68.6
66.79
c 87.62
87.43
u
u
u
3 Round each number to three decimal places.
d −7.62
−7.7
e −6.145
−6.154
f −9.803
−9.088
u
u
u
a 4.7913
b 37.0004
c 21.4897
17 John’s savings account pays 2.5% interest per year.
John has £500 in savings.
4 Work out
How much interest will he have earned after 1 year?
a 26.1 + 9.65
b 10 − 1.72
c 9.4 + 6.57 − 11.46
Challenge
5 Work out
18
a 345 × 0.62
b 3.5 × 0.15
c 0.05 × 0.64
0.12
0.86
1.188
12.5
5.04
27.5
9
0.7
6 Long rolls of cloth need to be cut in the ratio 5 : 1 : 2.
11.3
6.3
0.1
33
How long is the longest piece of cloth from a roll 48 m long?
51.3
2.97
10.7
10.8
Each of the numbers in the blue rectangle can be made by adding,
7 Rearrange these numbers in ascending order.
subtracting, multiplying or dividing some or all of these decimal
45.39, 45.18, 45.275, 45.33, 66.5, 66.39
numbers.
8 Work out
0.3
0.4
1.4
9.9
3.6
6.2
5.7
a 36 ÷ 0.1
b 419 ÷ 0.01
c 4.8 ÷ 0.6
a You can use each number a maximum of once in each calculation.
d 48 ÷ 0.08
e 8.4 ÷ 0.2
f 0.63 ÷ 0.3
Make as many of the numbers from the blue rectangle as you can.
Keep a note of the calculations you do to avoid duplication.
9 Rearrange these numbers in ascending order.
b Following the same rules:
−9.31, −9.78, −9.57, −9.3, −9.53, −9.511, −9.9
What is the highest number you can make?
What is the lowest number you can make?
10 Simplify each ratio.
What is the number closest to zero you can make?
a 12 : 16.8
19 Refl ect Look back at the questions in this unit test.
b 1.5 : 7.5
Which took the shortest time to answer? Why?
Which took the longest time to answer? Why?
11 Sophie mixes acid and water in the ratio 2 : 5.2
Which took the most thought to answer? Why?
She makes 288 m l of the mixture.
l of the mixture.
l
How much acid and how much water did she mix?
159
Unit 6
Decimals and ratio
160
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