# Products and Sums: Find Two Numbers

In this worksheet, students select numbers whose product and sum are both given.

Key stage:  KS 2

Curriculum topic:   Number: Multiplication and Division

Curriculum subtopic:   Solve Multiplication/Division Problems

Difficulty level:

### QUESTION 1 of 10

This worksheet is about sums and products.

A sum is an addition. The sum of 12 and 3 is 15.

A product is a multiplication. The product of 12 and 3 is 36.

Example

Find two numbers whose product is 30 and sum is 11.

We look at the factor pairs of 30 first.

1 and 30

2 and 15

3 and 10

5 and 6

Then we select the pair whose sum is 11.

Select two numbers with a product of 24 and a sum of 10.

3

4

5

6

Select two numbers with a product of 100 and a sum of 52.

49

3

2

50

Select two numbers with a product of 84 and a sum of 31.

29

3

2

28

Select two numbers with a product of 42 and a sum of 13.

7

4

9

6

Select two numbers with a product of 24 and a sum of 11.

3

8

4

6

Select two numbers with a product of 75 and a sum of 28.

3

24

25

6

Select two numbers with a product of 99 and a sum of 100.

3

24

99

1

Select two numbers with a product of 65 and a sum of 18.

13

15

5

6

Select two numbers with a product of 90 and a sum of 33.

13

30

6

3

Select two numbers with a product of 17 and a sum of 18.

13

1

3

17

• Question 1

Select two numbers with a product of 24 and a sum of 10.

4
6
EDDIE SAYS
4 × 6 = 24
4 + 6 = 10
• Question 2

Select two numbers with a product of 100 and a sum of 52.

2
50
EDDIE SAYS
2 × 50 = 100
2 + 50 = 52
• Question 3

Select two numbers with a product of 84 and a sum of 31.

3
28
EDDIE SAYS
3 × 28 = 84
3 + 28 = 31
• Question 4

Select two numbers with a product of 42 and a sum of 13.

7
6
EDDIE SAYS
7 × 6 = 42
7 + 6 = 13
• Question 5

Select two numbers with a product of 24 and a sum of 11.

3
8
EDDIE SAYS
3 × 8 = 24
3 + 8 = 11
• Question 6

Select two numbers with a product of 75 and a sum of 28.

3
25
EDDIE SAYS
3 × 25 = 75
3 + 25 = 28
• Question 7

Select two numbers with a product of 99 and a sum of 100.

99
1
EDDIE SAYS
1 × 99 = 99
1 + 99 = 100
• Question 8

Select two numbers with a product of 65 and a sum of 18.

13
5
EDDIE SAYS
13 × 5 = 65
13 + 5 = 18
• Question 9

Select two numbers with a product of 90 and a sum of 33.

30
3
EDDIE SAYS
3 × 30 = 90
3 + 30 = 33
• Question 10

Select two numbers with a product of 17 and a sum of 18.

1
17
EDDIE SAYS
1 × 17 = 17
1 + 17 = 18
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started