BODMAS RULE WORKSHEET

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Problem 1 :

Evaluate :

6 + 7 x 8

Problem 2 :

Evaluate :

10² - 16 ÷ 8

Problem 3 :

Evaluate :

(25 + 11) x 2

Problem 4 :

Evaluate :

3 + 6 x (5 + 4) ÷ 3 -7

Problem 5 :

Evaluate :

56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

Problem 6 :

Evaluate :

6 + [(16 - 4) ÷ (2² + 2)] - 2

Problem 7 :

Evaluate :

(96 ÷ 12) + 14 x (12 + 8) ÷ 2

Problem 8 :

Evaluate :

(93 + 15) ÷ (3 x 4) - 24 + 8

Problem 9 :

Evaluate :

55 ÷ 11 + (18 - 6) x 9

Problem 10 :

Evaluate :

(7 + 18) x 3 ÷ (2 + 13) - 28

Problem 11 :

Evaluate :

[11 - 20 ÷ (5² - 13) ÷ 3 + 8] x 2

Problem 12 :

Evaluate :

(b² + c) + a³ ÷ b + (ab - c)

if a = 2, b = 4 and c = 5.

Problem 13 :

Evaluate :

Problem 14 :

Evaluate :

Problem 15 :

Evaluate :

Problem 16 :

What is the value of

if a = -2, b = 3 and c = 5.

Problem 17 :

What is the value of

if a = 4, b = -3 and c = 7.

Problem 18 :

What is the value of

if a = 3, b = -1 and c = -2.

1. Answer :

6 + 7 x 8

Evaluation

= 6 + 7 x 8

= 6 + 56

= 62

Operation

Multiplication

Addition

Result

2. Answer :

10² - 16 ÷ 8

Evaluation

= 10² - 16 ÷ 8

= 100 - 16 ÷ 8

= 100 - 2

= 98

Operation

Power

Division

Subtraction

Result

3. Answer :

(25 + 11) x 2

Evaluation

= (25 + 11) x 2

= 36 x 2

= 72

Operation

Bracket

Multiplication

Result

4. Answer :

3 + 6 x (5 + 4) ÷ 3 -7

Evaluation

= 3 + 6 x (5 + 4) ÷ 3 -7

= 3 + 6 x 9 ÷ 3 -7

= 3 + 54 ÷ 3 -7

= 3 + 18 -7

= 21 - 7

= 14

Operation

Bracket

Multiplication

Division

Addition

Subtraction

Result

5. Answer :

56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

Evaluation

= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

= 56 - 2(20 + 3 x 3 - 2 x 2) + 10

= 56 - 2(20 + 9 - 4) + 10

= 56 - 2(29 - 4) + 10

= 56 - 2(25) + 10

= 56 - 50 + 10

= 6 + 10

= 16

Operation

Bracket

Division

Multiplication

Addition

Subtraction

Multiplication

Subtraction

Addition

Result

6. Answer :

6 + [(16 - 4) ÷ (2² + 2)] - 2

Evaluation

= 6 + [(16 - 4) ÷ (2²+ 2)] - 2

= 6 + [12 ÷ (2²+ 2)] - 2

= 6 + [12 ÷ (4 + 2)] - 2

= 6 + [12 ÷ 6] - 2

= 6 + 2 - 2

= 8 - 2

= 6

Operation

Square Bracket

Power

Bracket

Square Bracket

Addition

Subtraction

Result

7. Answer :

(96 ÷ 12) + 14 x (12 + 8) ÷ 2

Evaluation

= (96 ÷ 12) + 14 x (12 + 8) ÷ 2

= 8 + 14 x 20 ÷ 2

= 8 + 280 ÷ 2

= 8 + 140

= 148

Operation

Bracket

Multiplication

Division

Addition

Result

8. Answer :

(93 + 15) ÷ (3 x 4) - 24 + 8

Evaluation

= (93 + 15) ÷ (3 x 4) - 24 + 8

= 108 ÷ 12 - 24 + 8

= 9 - 24 + 8

= -15 + 8

= -7

Operation

Bracket

Division

Subtraction

Result

9. Answer :

55 ÷ 11 + (18 - 6) x 9

Evaluation

= 55 ÷ 11 + (18 - 6) x 9

= 55 ÷ 11 + 12 x 9

= 5 + 12 x 9

= 5 + 108

= 113

Operation

Bracket

Division

Multiplication

Addition

Result

10. Answer :

(7 + 18) x 3 ÷ (2 + 13) - 28

Evaluation

= (7 + 18) x 3 ÷ (2 + 13) - 28

= 25 x 3 ÷ 15 - 28

= 75 ÷ 15 - 28

= 5 - 28

= -23

Operation

Bracket

Multiplication

Division

Subtraction

Result

11. Answer :

[11 - 20 ÷ (5² - 13) ÷ 3 + 8] x 2

Evaluation

= [11 - 20 + (5² - 13) ÷ 3 x 8] x 2

= [11 - 20 + (5² - 13) ÷ 3 x 8] x 2.

= [11 - 20 + (25 - 13) ÷ 3 x 8] x 2

= [11 - 20 + 12 ÷ 3 x 8] x 2

= [11 - 20 + 4 x 8] x 2

= [11 - 20 + 32] x 2

= [-9 + 32] x 2

= 23 x 2

= 46

Operation

Bracket²

Exponent²

Bracket

Division

Multiplication

Subtraction

Bracket

Multiplication

Result

12. Answer :

(b² + c) + a³ ÷ b + (ab - c)

Substitute a = 2, b = 4 and c = 5.

(4² + 5) + 2³ ÷ 4 + (2(4) - 5)

Evaluation

= (4² + 5) + 2³ ÷ 4 + (2(4) - 5)

= (16 + 5) + 2³ ÷ 4 + (8 - 5)

= 21 + 2³ ÷ 4 + 3

= 21 + 8 ÷ 4 + 3

= 21 + 2 + 3

= 23 + 3

= 26

Operation

Brackets²

Power²

Division

Addition

Result

13. Answer :

14. Answer :

15. Answer :

16. Answer :

17. Answer :

18. Answer :

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BODMAS RULE WORKSHEET

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