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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:  

down

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 = ___________

  • 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
  • Question 2

Work out the following and check using inverse operations:

 

(40 + 18) × 7 = ___________

CORRECT ANSWER
406
  • Question 3

Work out the following and check using inverse operations:

 

82 × 7 + 40 = ___________

CORRECT ANSWER
614
  • Question 4

Work out the following and check using inverse operations:

 

64 × (3 + 18) = ___________

CORRECT ANSWER
1344
  • Question 5

Work out the following and check using inverse operations:

 

(99 + 91) × 12 = ___________

CORRECT ANSWER
2280
  • Question 6

Work out the following and check using inverse operations:

 

(89 - 65) ÷ 6 = ___________

CORRECT ANSWER
4
  • Question 7

Work out the following and check using inverse operations:

 

(95 + 82) × 8 = ___________

CORRECT ANSWER
1416
  • Question 8

Work out the following and check using inverse operations:

 

168 ÷ 12 + 54 = ___________

CORRECT ANSWER
68
  • Question 9

Work out the following and check using inverse operations:

 

(42 + 70) ÷ 7 = ___________

CORRECT ANSWER
16
  • Question 10

Work out the following and check using inverse operations:

 

(45 + 93) × 6 = ___________

CORRECT ANSWER
828
---- OR ----

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