# Solve Word Problems and Puzzles

In this worksheet, students revise and practise sequencing, negative numbers, fractions and proportion to answer a range of word problems and puzzles.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Word Problems

Difficulty level:

### QUESTION 1 of 10

Example

 In a room full of people, 1/8 of them wear glasses. 1/6 of them wear contact lenses, and the rest have perfect eyesight. What fraction of them have perfect eyesight?

1/8 + 1/6 = 3/24 + 4/24 = 7/24

So 17/24 (24 - 7) have perfect eyesight.

 Which of these sequences will be the first to pass 1000? First :       3     31     59     87 ....... Second :  3     6     9     12 ....... Third :      3     9     27     81 .......
First

Second

Third

In a room full of people,

 1 2
of them wear glasses,
 1 4
of them wear contact lenses

and the rest have perfect eyesight.

What fraction of them have perfect eyesight?

1/4

2/4

1/2

Is
 1 8
closer to
 1 7
or to
 1 9
1/7

1/9

 Find two whole numbers with a sum of 5 and a product of 6.
3 and 2

5 and 1

In a room full of people,

 1 4
of them wear glasses,
 1 7
of them wear contact lenses

and the rest have perfect eyesight. What fraction of them have perfect eyesight?

 Find two whole numbers with a sum of -1 and a product of -12.
-3 and -4

3 and -4

Is
 1 10
closer to
 1 9
or to
 1 11
1/9

1/11

 Which of these sequences will be the first to pass 1000? First :        3     33     63     93 ....... Second :   3     10     17     24 ....... Third :       3     9     27     81 .......
First

Second

Third

 Which of these sequences will be the first to pass 1000? First :       4     24     44     64 ....... Second :  4     8     12     16 ....... Third :      4     16     64     256 .......
First

Second

Third

 Find two whole numbers with a sum of 1 and a product of -2.
-1 and 2

-2 and 1

• Question 1
 Which of these sequences will be the first to pass 1000? First :       3     31     59     87 ....... Second :  3     6     9     12 ....... Third :      3     9     27     81 .......
Third
• Question 2

In a room full of people,

 1 2
of them wear glasses,
 1 4
of them wear contact lenses

and the rest have perfect eyesight.

What fraction of them have perfect eyesight?

1/4
• Question 3
Is
 1 8
closer to
 1 7
or to
 1 9
1/9
• Question 4
 Find two whole numbers with a sum of 5 and a product of 6.
3 and 2
• Question 5

In a room full of people,

 1 4
of them wear glasses,
 1 7
of them wear contact lenses

and the rest have perfect eyesight. What fraction of them have perfect eyesight?

17/28
• Question 6
 Find two whole numbers with a sum of -1 and a product of -12.
3 and -4
• Question 7
Is
 1 10
closer to
 1 9
or to
 1 11
1/11
• Question 8
 Which of these sequences will be the first to pass 1000? First :        3     33     63     93 ....... Second :   3     10     17     24 ....... Third :       3     9     27     81 .......
Third
• Question 9
 Which of these sequences will be the first to pass 1000? First :       4     24     44     64 ....... Second :  4     8     12     16 ....... Third :      4     16     64     256 .......
Third
• Question 10
 Find two whole numbers with a sum of 1 and a product of -2.
-1 and 2
---- OR ----

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