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Writing and Simplifying Ratios - Worksheets, Questions and Revision
9 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.
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KS3 · Ratio, Proportion and Rates of Change
KS3.M-R2 Writing and Simplifying Ratios
AQA KS3.M-R2 · Calculators not allowed · about 60 minutes
Name: _______________________________ Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write each pair of quantities as a ratio in simplest form.
(a)
8 apples to 12 apples.
(1)
(b)
6 pens to 15 pencils.
(1)
(c)
10 red balloons to 4 blue balloons.
(1)
(d)
21 boys to 14 girls.
(1)
2
Simplify each ratio fully.
(a)
14 : 28
(1)
(b)
45 : 30
(1)
(c)
18 : 12
(1)
3
A class has ratio of girls to boys 2:3. There are 20 pupils in the class. Work out the number of girls.
(2)
4
Share 84 stickers in the ratio 5:1. Work out how many stickers the smaller share gets.
(2)
5
Write each ratio as a fraction in simplest form.
(a)
4:5 as a fraction
(1)
(b)
3:6 as a fraction in simplest form
(1)
(c)
7:2 as a fraction
(1)
6
Find the missing number to make equivalent ratios.
(a)
3:4 = 9:?
(2)
(b)
5:7 = ?:28
(2)
7
A recipe uses oats and sugar in the ratio 3:2. If you use 18 g of oats, how much sugar should you use to keep the same ratio?
(2)
8
Write the ratio 0.5 : 2 in simplest whole-number form.
(1)
9
Which is the larger ratio: 3:7 or 2:5? Explain briefly.
(2)
Mark scheme · KS3.M-R2 Writing and Simplifying Ratios
Question 1
(a)
B1
2:3 cao
(a) Answer:
2:3
(b)
B1
2:5 cao
(b) Answer:
2:5
(c)
B1
5:2 cao
(c) Answer:
5:2
(d)
B1
3:2 cao
(d) Answer:
3:2
Question 2
(a)
B1
1:2 cao
(a) Answer:
1:2
(b)
B1
3:2 cao
(b) Answer:
3:2
(c)
B1
3:2 cao
(c) Answer:
3:2
Question 3
M1
method: 2 + 3 = 5 parts, 20/5 = 4 or equivalent
A1
8 girls cao
Answer:
8 girls
Question 4
M1
method: 5 + 1 = 6 parts, 84/6 = 14
A1
14 stickers cao
Answer:
14 stickers
Question 5
(a)
B1
4/5 cao
(a) Answer:
4/5
(b)
B1
1/2 cao
(b) Answer:
1/2
(c)
B1
7/2 cao
(c) Answer:
7/2
Question 6
(a)
M1
scale factor 3 -> 9 is x3, so 4 x 3 = 12
(a)
A1
12 cao
(a) Answer:
12
(b)
M1
scale factor 7 -> 28 is x4, so 5 x 4 = 20
(b)
A1
20 cao
(b) Answer:
20
Question 7
M1
method: 3 parts -> 18 so 1 part = 6, sugar 2 parts = 12
A1
12 g cao
Answer:
12 g
Question 8
B1
1:4 cao
Answer:
1:4
Question 9
M1
method: convert to fractions 3/7 and 2/5 or compare by cross-multiplication
A1
conclusion: 3:7 is larger with a brief justification cao
Answer:
3:7 is larger; 3/7 is approximately 0.4286 and 2/5 = 0.4
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