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Addition and Subtraction of Square Numbers

In this worksheet, students add together square numbers. They should try the calculations mentally first.

'Addition and Subtraction of Square Numbers' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

For this worksheet, it will be useful for you to know the square numbers off by heart.

12 = 1

22 = 4

32 = 9

42 = 16

52 = 25

62 = 36

72 = 49

82 = 64

92 = 81

102 = 100

112 = 121

122 = 144

 

It's also useful to know that 152 = 225

 

Example

Work out the following mentally.

52 + 10 =
25 + 10 = 35

Work out the following mentally. Write just the answer in the box below.

 

62 + 10 = ?  

Work out the following mentally. Write just the answer in the box below.

 

42 + 12 = ?  

Work out the following mentally. Write just the answer in the box below.

 

32 + 12 = ?  

Work out the following mentally. Write just the answer in the box below.

 

22 + 11 = ?  

Work out the following mentally. Write just the answer in the box below.

 

22 + 112  = ?  

Work out the following mentally. Write just the answer in the box below.

 

72 + 52  = ?  

Work out the following mentally. Write just the answer in the box below.

 

42 + 82  = ?  

Work out the following mentally. Write just the answer in the box below.

 

72 + 112  = ?  

Work out the following mentally. Write just the answer in the box below.

 

(9 + 6)2  = ?  

Work out the following mentally. Write just the answer in the box below.

 

(11 + 4)2 = ?  
  • Question 1

Work out the following mentally. Write just the answer in the box below.

 

62 + 10 = ?  
CORRECT ANSWER
46
EDDIE SAYS
BODMAS tells us we have to do powers before addition.
  • Question 2

Work out the following mentally. Write just the answer in the box below.

 

42 + 12 = ?  
CORRECT ANSWER
28
EDDIE SAYS
BODMAS tells us we have to do powers before addition.
  • Question 3

Work out the following mentally. Write just the answer in the box below.

 

32 + 12 = ?  
CORRECT ANSWER
21
EDDIE SAYS
BODMAS tells us we have to do powers before addition.
  • Question 4

Work out the following mentally. Write just the answer in the box below.

 

22 + 11 = ?  
CORRECT ANSWER
15
EDDIE SAYS
BODMAS tells us we have to do powers before addition.
  • Question 5

Work out the following mentally. Write just the answer in the box below.

 

22 + 112  = ?  
CORRECT ANSWER
125
EDDIE SAYS
BODMAS tells us we have to do both powers before adding the answer.
  • Question 6

Work out the following mentally. Write just the answer in the box below.

 

72 + 52  = ?  
CORRECT ANSWER
74
EDDIE SAYS
BODMAS tells us we have to do both powers before adding the answer.
  • Question 7

Work out the following mentally. Write just the answer in the box below.

 

42 + 82  = ?  
CORRECT ANSWER
80
EDDIE SAYS
BODMAS tells us we have to do both powers before adding the answer.
  • Question 8

Work out the following mentally. Write just the answer in the box below.

 

72 + 112  = ?  
CORRECT ANSWER
170
EDDIE SAYS
BODMAS tells us we have to do both powers before adding the answer.
  • Question 9

Work out the following mentally. Write just the answer in the box below.

 

(9 + 6)2  = ?  
CORRECT ANSWER
225
EDDIE SAYS
BODMAS tells us we have to work out the bracket before squaring the result
  • Question 10

Work out the following mentally. Write just the answer in the box below.

 

(11 + 4)2 = ?  
CORRECT ANSWER
225
EDDIE SAYS
BODMAS tells us we have to work out the bracket before squaring the result
---- OR ----

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