Simplification Questions for Class 5 with Answers (BODMAS & Brackets)

Simplification Questions for Class 5 with Answers: Practise 20 solved simplification problems covering round brackets ( ), curly brackets { }, square brackets [ ], vinculum (bar bracket), and the BODMAS rule, plus a free printable PDF worksheet.

BODMAS Order of Operations for Class 5 Simplification

To simplify any mathematical expression with brackets and multiple operations, follow the BODMAS sequence from top to bottom:

For expressions without brackets, you can also practise our DMAS Questions for Class 5 and BODMAS Questions for Class 5.

20 Solved Simplification Questions for Class 5 with Answers

Work through each Class 5 simplification problem below and compare your steps with the solution:

1. Simplify: 12 − (7 − 9 ÷ 3)
Solution: 12 − (7 − 9 ÷ 3)
= 12 − (7 − 3)  (Inside bracket, perform division first: 9 ÷ 3 = 3)
= 12 − 4  (Remove small bracket: 7 − 3 = 4)
= 8

2. Simplify: 45 + 28 ÷ (7 − 3)
Solution: 45 + 28 ÷ (7 − 3)
= 45 + 28 ÷ 4  (Removing small bracket: 7 − 3 = 4)
= 45 + 7  (Performing division: 28 ÷ 4 = 7)
= 52

3. Simplify: 32 − 1/2{5 + 4 − (3 + 2 − 1 + 3)}
Solution: 32 − 1/2{5 + 4 − (3 + 2 − 1 + 3)}
= 32 − 1/2{5 + 4 − 7}  (Removing small bracket: 3 + 2 − 1 + 3 = 7)
= 32 − 1/2{2}  (Removing curly bracket: 9 − 7 = 2)
= 32 − 1  (Performing multiplication/division: 1/2 × 2 = 1)
= 31

4. Simplify: 27 − [48 − {50 − (15 − 13 − 2)}]
Solution: 27 − [48 − {50 − (15 − 13 − 2)}]
= 27 − [48 − {50 − 0}]  (Removing small bracket: 15 − 13 − 2 = 0)
= 27 − [48 − 50]  (Removing curly bracket)
= 27 − [−2]  (Removing square bracket)
= 27 + 2 = 29

5. Simplify: 50 − [18 − {14 − (15 − 4 ÷ 2 × 2)}]
Solution: 50 − [18 − {14 − (15 − 4 ÷ 2 × 2)}]
= 50 − [18 − {14 − (15 − 2 × 2)}]  (Division inside small bracket: 4 ÷ 2 = 2)
= 50 − [18 − {14 − 11}]  (Removing small bracket: 15 − 4 = 11)
= 50 − [18 − 3]  (Removing curly bracket: 14 − 11 = 3)
= 50 − 15 = 35

6. Simplify: 62 − [38 − {60 ÷ 3 − (6 − 9 ÷ 3) ÷ 3}]
Solution: 62 − [38 − {60 ÷ 3 − (6 − 9 ÷ 3) ÷ 3}]
= 62 − [38 − {60 ÷ 3 − 3 ÷ 3}]  (Removing small bracket: 6 − 3 = 3)
= 62 − [38 − {20 − 1}]  (Performing divisions inside curly bracket)
= 62 − [38 − 19]  (Removing curly bracket)
= 62 − 19 = 43

7. Simplify: 47 − [23 − {23 − (23 − 23 − 23)}]
Solution: 47 − [23 − {23 − (23 − 23 − 23)}]
= 47 − [23 − {23 − (0 − 23)}]
= 47 − [23 − {23 − (−23)}]
= 47 − [23 − {23 + 23}] = 47 − [23 − 46]
= 47 − [−23] = 47 + 23 = 70

8. Simplify: 4 + (1 ÷ 5)[{−10 × (25 − 13 − 3)} ÷ (−5)]
Solution: 4 + (1 ÷ 5)[{−10 × (25 − 13 − 3)} ÷ (−5)]
= 4 + (1 ÷ 5)[{−10 × 9} ÷ (−5)]  (Removing small bracket: 25 − 13 − 3 = 9)
= 4 + (1 ÷ 5)[−90 ÷ (−5)]  (Removing curly bracket)
= 4 + (1 ÷ 5) × 18  (Removing square bracket: −90 ÷ −5 = 18)
= 4 + 3.6 = 7.6

9. Simplify: 22 − (1/4){−5 − (−48) ÷ (−16)}
Solution: 22 − (1/4){−5 − (−48) ÷ (−16)}
= 22 − (1/4){−5 − 3}  (Performing division: −48 ÷ −16 = 3)
= 22 − (1/4)(−8)
= 22 − (−2) = 22 + 2 = 24

10. Simplify: 45 − (−3){−2 − 8 − 3} ÷ 3{5 + (−2)(−1)}
Solution: 45 − (−3){−2 − 8 − 3} ÷ 3{5 + (−2)(−1)}
= 45 + 3{−13} ÷ 3{5 + 2}
= 45 + (−39) ÷ 3 × 7
= 45 − 13 × 7 = 45 − 91 = −46

11. Simplify: 14 × 7 + 32 ÷ 8 + 14
Solution: 14 × 7 + 32 ÷ 8 + 14
= 14 × 7 + 4 + 14  (Performing division: 32 ÷ 8 = 4)
= 98 + 4 + 14  (Performing multiplication: 14 × 7 = 98)
= 102 + 14 = 116

12. Simplify: 30 ÷ 6 + 10 − 2 × 5
Solution: 30 ÷ 6 + 10 − 2 × 5
= 5 + 10 − 2 × 5  (Division: 30 ÷ 6 = 5)
= 5 + 10 − 10  (Multiplication: 2 × 5 = 10)
= 15 − 10 = 5

13. Simplify: 48 ÷ 16 × 2 + 17 − 9
Solution: 48 ÷ 16 × 2 + 17 − 9
= 3 × 2 + 17 − 9  (Division: 48 ÷ 16 = 3)
= 6 + 17 − 9  (Multiplication: 3 × 2 = 6)
= 23 − 9 = 14

14. Simplify: (18 + 10) − (3 × 6)
Solution: (18 + 10) − (3 × 6)
= 28 − 18  (Solving both brackets first)
= 10

15. Simplify: (10 × 8) ÷ (20 ÷ 5)
Solution: (10 × 8) ÷ (20 ÷ 5)
= 80 ÷ 4  (Solving brackets: 10 × 8 = 80 and 20 ÷ 5 = 4)
= 20

16. Simplify: {20 − (24 − 10)} + 7
Solution: {20 − (24 − 10)} + 7
= {20 − 14} + 7  (Removing small bracket)
= 6 + 7 = 13

17. Simplify: {20 + (15 + 5)} − 5
Solution: {20 + (15 + 5)} − 5
= {20 + 20} − 5  (Removing small bracket)
= 40 − 5 = 35

18. Simplify: 27 − [18 − {16 − (5 − )}]
Solution: First solve the vinculum (bar) over 4 − 1 = 3:
= 27 − [18 − {16 − (5 − 3)}]
= 27 − [18 − {16 − 2}]  (Removing small bracket: 5 − 3 = 2)
= 27 − [18 − 14]  (Removing curly bracket: 16 − 2 = 14)
= 27 − 4 = 23

19. Simplify: 2[19 − {7 + (12 ÷ 4)}]
Solution: 2[19 − {7 + (12 ÷ 4)}]
= 2[19 − {7 + 3}]  (Removing small bracket: 12 ÷ 4 = 3)
= 2[19 − 10]  (Removing curly bracket: 7 + 3 = 10)
= 2 × 9 = 18

20. Simplify: [{(30 − ) ÷ 3} × 6 + 6]
Solution: First solve the vinculum (bar) over 9 − 6 = 3:
= [{(30 − 3) ÷ 3} × 6 + 6]
= [{27 ÷ 3} × 6 + 6]  (Removing small bracket: 30 − 3 = 27)
= [9 × 6 + 6]  (Removing curly bracket: 27 ÷ 3 = 9)
= [54 + 6] = 60

Download Simplification Questions for Class 5 PDF with Solutions

• Simplification Questions for Class 5 PDF with Solutions (Free Worksheet)
• DMAS Questions for Class 5 with Answers
• BODMAS Questions for Class 5 with Answers
• Simplification Questions for Class 6 with Answers
• NCERT Class 5 Maths Book PDF Download

Frequently Asked Questions on Class 5 Simplification