PEMDAS RULE WORKSHEET

Click here to learn PEMDAS Rule in detail.

Question 1 :

Evaluate :

47 - 12 x 3

Question 2 :

Evaluate :

5 + (21 - 32÷ 4

Question 3 :

Evaluate :

11 x 7 - 30 ÷ 5

Question 4 :

Evaluate :

84 ÷ [(18 - 16) x 3]

Question 5 :

Evaluate :

3 + 2(25 + 15 ÷ 3 x 7 - 3 x 8) - 12

Question 6 :

Evaluate :

(23 + 8) ÷ 8 x (96 ÷ 12)

Question 7 :

Evaluate :

(84 ÷ 14)2 + 2 x (12 - 8)

Question 8 :

Evaluate :

7 + [43 - 3(12 - 7)] ÷ 22

Question 9 :

Evaluate :

2(30 ÷ 6)2 ÷ 5 + 3(15 + 11) ÷ 13

Question 10 :

Evaluate :

0.5(20 + 23) ÷ 7 + 2 x 6 - 5

Question 11 :

Evaluate :

(54 ÷ 52) ÷ 52 x 52

Question 12 :

Evaluate :

ab- (a + c) ÷ a + (a + b)

if a = 4, b = 6 and c = 8.

Question 13 :

Evaluate the following expression for x = -1 and y = 2 :

x+ 3y3

Question 14 :

Evaluate the following expression for x = 1 and y = 1.

(y3 + x) ÷ 2 + x

Question 15 :

Evaluate the following expression for y = 3 and z = 7.

z3 - (y ÷ 3 - 1)

Question 16 :

Evaluate :

Question 17 :

Evaluate :

Question 18 :

Evaluate :

Question 19 :

What is the value of

if a = -1/2, b = 3/2 and c = 5/2?

Question 20 :

What is the value of

if p = 4, q = 1/2 and r = 2?

1. Answer :

47 - 12 x 3

Operation

Multiply

Subtract

Result

Evaluation

= 47 - 12 x 3

= 47 - 36

= 11

2. Answer :

5 + (21 - 32) ÷ 4

Operation

Exponent2

Parentheses

Divide

Add

Result

Evaluation

= 5 + (21 - 32) ÷ 4

= 5 + (21 - 9) ÷ 4

= 5 + 12 ÷ 4

= 5 + 3

= 8

3. Answer :

11 x 7 - 30 ÷ 5

Operation

Multiply

Divide

Subtract

Result

Evaluation

= 11 x 7 - 30 ÷ 5

= 77 - 30 ÷ 5

= 77 - 6

= 71

4. Answer :

84 ÷ [(18 - 16) x 3]

Operation

Brackets

Parentheses

Brackets

Divide

Result

Evaluation

= 84 ÷ [(18 - 16) x 3]

= 84 ÷ [(18 - 16) x 3]

= 84 ÷ [2 x 3]

= 84 ÷ 6

= 14

5. Answer :

3 + 2(25 + 15 ÷ 3 x 7 - 3 x 8) - 12

Operation

Parentheses

Divide

Multiply

Add

Parentheses

Multiply

Add

Subtract

Result

Evaluation

= 3 + 2(25 + 15 ÷ 3 x 7 - 3 x 8) - 12

= 3 + 2(25 + 15 ÷ 3 x 7 - 3 x 8) - 12

= 3 + 2(25 + 5 x 7 - 3 x 8) - 12

= 3 + 2(25 + 35 - 24) - 12

= 3 + 2(60 -  24) - 12

= 3 + 2(36) - 12

= 3 + 72 - 12

= 75 - 12

= 63

6. Answer :

(23 + 8) ÷ 8 x (96 ÷ 12)

Operation

Parentheses

Exponent

Parentheses

Divide

Multiply

Result

Evaluation

= (23 + 8) ÷ 8 x (96 ÷ 12)

= (23 + 8) ÷ 8 x 8

= (8 + 8) ÷ 8 x 8

= 16 ÷ 8 x 8

= 2 x 8

= 16

7. Answer :

(84 ÷ 14)2 + 2 x (12 - 8)

Operation

Parentheses

Exponent

Multiply

Add

Result

Evaluation

= (84 ÷ 14)2 + 2 x (12 - 8)

= 62 + 2 x 4

= 36 + 2 x 4

= 36 + 8

= 44

8. Answer :

7 + [43 - 3(12 - 7)] ÷ 22

Operation

Brackets2

Parentheses2

Multiply2

Brackets

Exponent2

Divide

Add

Result

Evaluation

7 + [43 - 3(12 - 7)] ÷ 22

= 7 + [43 - 3(12 - 7)÷ 22

= 7 + [43 - 3(5)] ÷ 22

= 7 + [43 - 15] ÷ 22

= 7 + 28 ÷ 22

= 7 + 28 ÷ 4

= 7 + 7

= 14

9. Answer :

2(30 ÷ 6)2 ÷ 5 + 3(15 + 11) ÷ 13

Operation

Parentheses2

Exponent

Multiply

Divide

Add

Result

Evaluation

= 2(30 ÷ 6)2 ÷ 5 + 3(15 + 11) ÷ 13

= 2(5)2 ÷ 5 + 3(26) ÷ 13

= 2(25) ÷ 5 + 3(26) ÷ 13

= 50 ÷ 5 + 78 ÷ 13

= 10 + 6

= 16

10. Answer :

0.5(20 + 23÷ 7 + 2 x 6 - 5

Operation

Parentheses2

Exponent2

Parentheses

Multiply

Divide

Multiply

Add

Subtract

Result

Evaluation

= 0.5(20 + 23) ÷ 7 + 2 x 6 - 5

= 0.5(20 + 23) ÷ 7 + 2 x 6 - 5

= 0.5(20 + 8) ÷ 7 + 2 x 6 - 5

= 0.5(28) ÷ 7 + 2 x 6 - 5

= 14 ÷ 7 + 2 x 6 - 5

= 2 + 2 x 6 - 5

= 2 + 12 - 5

= 14 - 5

= 9

11. Answer :

(54 ÷ 52) ÷ 52 x 52

Operation

Parentheses2

Exponents2

Parentheses

Exponent2

Exponent2

Multiply

Multiply

Result

Evaluation

= (54 ÷ 52) ÷ 52 x 52

= (54 ÷ 52) ÷ 52 x 52

= (625 ÷ 25) ÷ 52 x 52

= 25 ÷ 52 x 52

= 25 ÷ 25 x 52

= 25 ÷ 25 x 25

= 1 x 25

= 25

12. Answer :

ab- (a + c) ÷ a + (a + b)

Substitute a = 4, b = 6 and c = 8.

4(6)- (4 + 8) ÷ 4 + (4 + 6)

Operation

Parentheses2

Exponent2

Multiply

Divide

Subtraction

Add

Result

Evaluation

= 4(6)- (4 + 8) ÷ 4 + (4 + 6)

= 4(6)- 12 ÷ 4 + 10

= 4(36) - 12 ÷ 4 + 10

= 144 - 12 ÷ 4 + 10

= 144 - 3 + 10

= 141 + 10

= 151

13. Answer :

= x+ 3y3

Substitute x = -1 and y = 2.

= (-1)+ 3(2)2

Evaluation :

Exponent

Multiplication

Addition

Result

(-1)+ 3(2)2

= 1 3(4)

= 1 + 12

= 13

14. Answer :

= (y3 + x) ÷ 2 + x

Substitute x = 1 and y = 1.

= (13 + 1) ÷ 2 + 1

Evaluation :

Parentheses

1Exponent

Parentheses

Division

Addition

Result

(13 + 1) ÷ 2 + 1

= (13 + 1) ÷ 2 + 1

(1 + 1) ÷ 2 + 1

2 ÷ 2 + 1

1 + 1

= 2

15. Answer :

= z3 - (y ÷ 3 - 1)

Substitute y = 3 and z = 7.

= 73 - (3 ÷ 3 - 1)

Evaluation :

1Parentheses

1Division

1Subtraction

1Exponent

Result

= 73 - (3 ÷ 3 - 1)

= 73 - (3 ÷ 3 - 1)

= 73 - (1 - 1)

73 - 0

= 243

16. Answer :

17. Answer :

18. Answer :

if a = -1/2, b = 3/2 and c = 5/2?

19. Answer :

if p = 4, q = 1/2 and r = 2?

20. Answer :

pemdas-rule-worksheet

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