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Fill in the Gaps in the Table Keeping the Proportions the Same

In this worksheet, students find the missing numbers in tables showing pairs in direct proportion.

'Fill in the Gaps in the Table Keeping the Proportions the Same' worksheet

Key stage:  KS 3

Curriculum topic:  Ratio, Proportion and Rates of Change

Curriculum subtopic:  Solve Problems Involving Direct and Inverse Proportion

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

This worksheet is about keeping pairs of numbers in the same ratio.

If two quantities are in direct proportion, the ratio between corresponding values will always be the same.

 

a = 1 2 3 4 5
b = 1.5 3 4.5 6 7.5

 

1.5   3   4.5

=
=
1   2   3

 

b is directly proportional to a.

Here b = 1.5 x a

 

To find b when a = 6, we solve
b
6
=
1.5
1
b = 6 × 1.5 = 9

 

 

To find a when b = 12, we solve
12
a
=
1.5
1
a = 12 ÷ 1.5 = 8

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 3  A 6 7.5 B

Column A

Column B

A
4.5
B
9

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 3  4.5 A B 9

Column A

Column B

A
7.5
B
6

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 7  A 14 B 21

Column A

Column B

A
17.5
B
10.5

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 3  4.5 6 A B

Column A

Column B

A
7.5
B
9

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = A  3 B 5 6

Column A

Column B

A
4
B
2

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = A  9 12 15 B

Column A

Column B

A
6
B
18

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = A  12 16 20 B

Column A

Column B

A
24
B
8

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 6  A B 15 18

Column A

Column B

A
12
B
9

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 1  A 2 B 3

Column A

Column B

A
2.5
B
1.5

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 12  A 24 B 36

Column A

Column B

A
18
B
30
  • Question 1

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 3  A 6 7.5 B
CORRECT ANSWER

Column A

Column B

A
4.5
B
9
EDDIE SAYS
To get from a to b we multiply by 1.5 To get from b to a we divide by 1.5
  • Question 2

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 3  4.5 A B 9
CORRECT ANSWER

Column A

Column B

A
6
B
7.5
EDDIE SAYS
To get from a to b we multiply by 1.5 To get from b to a we divide by 1.5
  • Question 3

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 7  A 14 B 21
CORRECT ANSWER

Column A

Column B

A
10.5
B
17.5
EDDIE SAYS
To get from a to b we multiply by 3.5 To get from b to a we divide by 3.5
  • Question 4

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 3  4.5 6 A B
CORRECT ANSWER

Column A

Column B

A
7.5
B
9
EDDIE SAYS
To get from a to b we multiply by 1.5 To get from b to a we divide by 1.5
  • Question 5

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = A  3 B 5 6
CORRECT ANSWER

Column A

Column B

A
2
B
4
EDDIE SAYS
The values in A and B are the same
  • Question 6

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = A  9 12 15 B
CORRECT ANSWER

Column A

Column B

A
6
B
18
EDDIE SAYS
To get from a to b we multiply by 3 To get from b to a we divide by 3
  • Question 7

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = A  12 16 20 B
CORRECT ANSWER

Column A

Column B

A
8
B
24
EDDIE SAYS
To get from a to b we multiply by 4 To get from b to a we divide by 4
  • Question 8

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 6  A B 15 18
CORRECT ANSWER

Column A

Column B

A
9
B
12
EDDIE SAYS
To get from a to b we multiply by 3 To get from b to a we divide by 3
  • Question 9

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 1  A 2 B 3
CORRECT ANSWER

Column A

Column B

A
1.5
B
2.5
EDDIE SAYS
To get from a to b we divide by 2 To get from b to a we multiply by 2
  • Question 10

Work out the values of A and B, given that the ratio of a:b is constant in this table.

a = 2 3 4 5 6
b = 12  A 24 B 36
CORRECT ANSWER

Column A

Column B

A
18
B
30
EDDIE SAYS
To get from a to b we multiply by 6 To get from b to a we divide by 6
---- OR ----

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