 # Solve Word Problems and Puzzles

In this worksheet, students resolve word problems and puzzles allowing them to revise and practise a range of mathematical processes for measures, percentages, decimals, fractions and wider number knowlege. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:   ### QUESTION 1 of 10

In this worksheet, you must solve word problems and puzzles.

Example

Given that 37 × 22 = 814, can you find 37 × 2.2 without further working?

2.2 is a tenth of 22.

37 × 2.2 = 814 ÷ 10 = 81.4

Given that 32 × 28 = 896, can you find 32 × 2.8 without further working?

Tick the two numbers from the list below whose sum is 18 and whose product is 72.

2

6

8

10

12

16

Anna, Baljit and Cara share £350. Anna receives twice as much as Baljit, who receives twice as much as Cara. How much does each one receive?

 Anna Baljit Cara 25 50 100 200

What is 90% of 90% of 20?

Write the following numbers in order, putting the smallest first. You can use your calculator to help you.

5%, 1/3, 0.82

5%, 1/3, 0.82

0.82, 5%, 1/3

1/3, 5%, 0.82

5%, 0.82, 1/3

Select the two numbers from the list below whose sum is 22 and whose product is 85.

1

5

7

11

15

17

The mean of 27, 28, 32, 33 is 30.

Without further working, write down the mean of 127, 128, 132, 133.

The mean of 27, 28, 32, 33 is 30.

Without further working write the mean of 270, 280, 320, 330.

A television costs £450.

How much does it cost in a sale in which all prices are discounted by 15%?

(Don't forget the £ sign)

• Question 1

Given that 32 × 28 = 896, can you find 32 × 2.8 without further working?

89.6
• Question 2

Tick the two numbers from the list below whose sum is 18 and whose product is 72.

6
12
• Question 3

Anna, Baljit and Cara share £350. Anna receives twice as much as Baljit, who receives twice as much as Cara. How much does each one receive?

 Anna Baljit Cara 25 50 100 200
• Question 4

What is 90% of 90% of 20?

16.2
• Question 5

£16
• Question 6

Write the following numbers in order, putting the smallest first. You can use your calculator to help you.

5%, 1/3, 0.82

5%, 1/3, 0.82
• Question 7

Select the two numbers from the list below whose sum is 22 and whose product is 85.

5
17
• Question 8

The mean of 27, 28, 32, 33 is 30.

Without further working, write down the mean of 127, 128, 132, 133.

130
• Question 9

The mean of 27, 28, 32, 33 is 30.

Without further working write the mean of 270, 280, 320, 330.

300
• Question 10

A television costs £450.

How much does it cost in a sale in which all prices are discounted by 15%?

(Don't forget the £ sign)

£382.50
£ 382.50
---- OR ----

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