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  2. Year 5
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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.

'Solve Word Problems and Puzzles' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Word Problems

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

This worksheet is about answering word problems and puzzles.

 

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?
 

Answer

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
 ? You can use your calculator to help you.
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
 ? You can use your calculator to help you
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

  • ANSWERS
  • 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 .......
CORRECT ANSWER
Third
  • ANSWERS
  • 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?
CORRECT ANSWER
1/4
  • ANSWERS
  • Question 3
Is 
1
8
 closer to 
1
7
 or to 
1
9
 ? You can use your calculator to help you.
CORRECT ANSWER
1/9
  • ANSWERS
  • Question 4
Find two whole numbers with a sum of 5 and a product of 6.
CORRECT ANSWER
3 and 2
  • ANSWERS
  • 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?
CORRECT ANSWER
17/28
  • ANSWERS
  • Question 6
Find two whole numbers with a sum of -1 and a product of -12.
CORRECT ANSWER
3 and -4
  • ANSWERS
  • Question 7
Is 
 1
10
 closer to 
1
9
 or to 
 1
11
 ? You can use your calculator to help you
CORRECT ANSWER
1/11
  • ANSWERS
  • 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 .......
CORRECT ANSWER
Third
  • ANSWERS
  • 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 .......
CORRECT ANSWER
Third
  • ANSWERS
  • Question 10
Find two whole numbers with a sum of 1 and a product of -2.
CORRECT ANSWER
-1 and 2
---- OR ----

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