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  1. Maths
  2. Year 7
  3. Four Operations
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Which Two Inverse Operations Take You Back to the Original Number?

In this worksheet, students work out an answer and then decide which two inverse operations will take them back to the original number.

'Which Two Inverse Operations Take You Back to the Original Number?' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Relationships Between Operations

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

In this worksheet, we will learn how to decide which two inverse operations will take you back to your original number

 

Remember the inverse of an operation is what you must do to take you back to your original number.

So, the inverse of addition is subtraction, and vice versa; the inverse of multiplication is division and vice versa.

 

Example

Work out the following and check using inverse operations:

(72 + 57) × 12 = __________

 

Answer

(72 + 57) × 12 = 1548

 

The check for this, using the two inverse operations, is as follows:

1548 ÷ 12 - 57 = 72

Work out the following and check using inverse operations:

 

81 × 6 + 87 = ___________

Work out the following and check using inverse operations:

 

(40 + 18) × 7 = ___________

Work out the following and check using inverse operations:

 

82 × 7 + 40 = ___________

Work out the following and check using inverse operations:

 

64 × (3 + 18) = ___________

Work out the following and check using inverse operations:

 

(99 + 91) × 12 = ___________

Work out the following and check using inverse operations:

 

(89 - 65) ÷ 6 = ___________

Work out the following and check using inverse operations:

 

(95 + 82) × 8 = ___________

Work out the following and check using inverse operations:

 

168 ÷ 12 + 54 = ___________

Work out the following and check using inverse operations:

 

(42 + 70) ÷ 7 = ___________

Work out the following and check using inverse operations:

 

(45 + 93) × 6 = ___________

  • ANSWERS
  • Question 1

Work out the following and check using inverse operations:

 

81 × 6 + 87 = ___________

CORRECT ANSWER
573
EDDIE SAYS
Inverse check is (Answer - 87) ÷ 6 = 81
  • ANSWERS
  • Question 2

Work out the following and check using inverse operations:

 

(40 + 18) × 7 = ___________

CORRECT ANSWER
406
EDDIE SAYS
Inverse check is (Answer ÷ 7) -18 = 40
  • ANSWERS
  • Question 3

Work out the following and check using inverse operations:

 

82 × 7 + 40 = ___________

CORRECT ANSWER
614
EDDIE SAYS
Inverse check is (Answer - 40) ÷ 7 = 82
  • ANSWERS
  • Question 4

Work out the following and check using inverse operations:

 

64 × (3 + 18) = ___________

CORRECT ANSWER
1344
EDDIE SAYS
Inverse check is (Answer ÷ 64) -3 = 18
  • ANSWERS
  • Question 5

Work out the following and check using inverse operations:

 

(99 + 91) × 12 = ___________

CORRECT ANSWER
2280
EDDIE SAYS
Inverse check is (Answer ÷ 23) -91 = 99
  • ANSWERS
  • Question 6

Work out the following and check using inverse operations:

 

(89 - 65) ÷ 6 = ___________

CORRECT ANSWER
4
EDDIE SAYS
Inverse check is (Answer x 6) + 65 = 89
  • ANSWERS
  • Question 7

Work out the following and check using inverse operations:

 

(95 + 82) × 8 = ___________

CORRECT ANSWER
1416
EDDIE SAYS
Inverse check is (Answer ÷ 8) -82 = 95
  • ANSWERS
  • Question 8

Work out the following and check using inverse operations:

 

168 ÷ 12 + 54 = ___________

CORRECT ANSWER
68
EDDIE SAYS
Inverse check is (Answer - 54) x 12 = 168
  • ANSWERS
  • Question 9

Work out the following and check using inverse operations:

 

(42 + 70) ÷ 7 = ___________

CORRECT ANSWER
16
EDDIE SAYS
Inverse check is (Answer x 7) - 70 = 42
  • ANSWERS
  • Question 10

Work out the following and check using inverse operations:

 

(45 + 93) × 6 = ___________

CORRECT ANSWER
828
EDDIE SAYS
Inverse check is (Answer ÷ 6) - 93 = 45
---- OR ----
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