 # 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. Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Solve Problems Involving Direct and Inverse Proportion

Difficulty level:   ### 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 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 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 B

A
10.5
B
17.5

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 B

A
9
B
7.5

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

## 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 B

A
18
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 = A 12 16 20 B

## Column B

A
8
B
24

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 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 B

A
1.5
B
2.5

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 B

A
30
B
18
• 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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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