Simplification Questions for class 5

In this post we will provide you with Simplification Questions for class 5 with answers which you can practice so as to improve your understanding of the topic.

We use the acronym “BODMAS” to make a mathematical equation with two or more operations simpler. The letters B, O, D, M, A, and S stand for brackets, orders (powers/indices or roots), division, multiplication, addition, and subtraction, respectively. The students can practice the various types of questions in the section below on simplifications to gain greater insight into the topic.

Simplification Questions for class 5 with Answers

Remember the below table for the correct implementation of the BODMAS rule.

Here are a few examples of simplification questions that could be appropriate for students in grade 5:

1.  12- (7 – 9 ÷ 3) 

Solution: 12- (7 – 9 ÷ 3)
= 12- (7 – 3) (As per BODMAS rule first division shall be performed)
= 12-4 (Performing subtraction)
=8

2. 45 + 28 ÷ (7 – 3) 

Solution: 45 +28 ÷(7 – 3)
= 45 +28 ÷(7 – 3)
= 45 +28 ÷(4) (Removing small bracket )
=45 +7 (Performing Division) =52 (Performing Addition)

3. 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)
= 32– 1/2{2}  (Removing curly bracket)
= 32– 1  (Performing Division) = 31 (Performing Subtraction)

4. 27 – [48- {50 – (15 – 13 – 2)}] 

27 – [48- {50 – (15 – 13 – 2)}] 
= 27 – [48- {50 – 0}]  (Removing small bracket)
= 27 – [48- 50]  (Removing curly bracket)
= 27 – [-2]   (Removing Square bracket) = 29 (Performing Addition)

5. 50- [18 – {14 – (15 – 4 ÷ 2 x 2)}] 

 = 50- [18 – {14 – (15 – 4 ÷ 2 x 2)}]  =  50- [18 – {14 – 11}]   (Removing Small bracket ) = 50- [18 – 3]   (Removing curly bracket)
=  50- 15 (Removing Square bracket)
= 35 (Performing Subtraction)

6. 62- [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]

 = 62- [38 – {60 ÷ 3 – 3 ÷ 3}] (Removing Small bracket ) =  62- [38 – 19]   (Removing curly bracket) = 62- 19 (Removing Square bracket)
= 43 (Performing Subtraction)

7. 47- [23 – {23 – (23 – 23 – 23)}] 

= 47-[23-{23-(23-23-23)}]
= 47-[23-{23-(0-23)}]
= 47-[23-{23-(-23)}]
= 47-[23-{23–23}]
= 47-[23-{23+23}]
= 47-[23-{46}]
= 47-[23-46]
= 47-[-23]
= 47–23
= 47+23
= 70

8. 4 + (1÷ 5) [{-10 x (25 – 13 – 3)} ÷ (-5)] 

= 4+(1÷ 5)[{-10(25-13-3)}÷ (-5)]
= 4+(1÷ 5)[{-10(25-13-3)}÷ (-5)]
= 4+(1÷ 5)[{-10(25-13-3)}÷ (-5)]
= 4+(1÷ 5)[{-10(12-3)}÷ (-5)]
= 4+(1÷ 5)[-90÷(-5)]
= 4+(1÷5)*18
= 4+3.6
= 7.6

9. 22 – (1/4){-5 – (- 48) ÷ (-16)} 

= 22-(1/4){-5-(-48)/(-16)} =
= 22-(1/4){-5+48/(-16)}
= 22-(1/4){-5-3} =
= 22-(1/4)-8 =
= 22-(-2)
= 22+2
= 24

10. 45- (-3) {-2 – 8 – 3} ÷ 3{5 + (-2) (-1)} 

= 45-(-3){-2-8-3}÷ 3{5+(-2)(-1)}
= 45+3{-2-8-3}÷ 3{5+(-2)(-1)}
= 45+3{-13}{÷ 3{5+(-2)(-1)}
= 45+-39÷ 3{5+-2(-1)}
= 45+-39÷ 3{5+2} = 45+-13*7
= 45-91
= -46

11. 14*7+32/8+14

= 14*7+32/8+14
= 98+32/8+14
= 98+4+14
= 102+14
= 116

12. 30÷6+10-2 x 5

Input Equation:
= 30/6+10-25 = 5+10-25
= 5+10-10
= 15-10
Ans= 5

13.  48÷16 x 2+17 – 9

Input Equation:
= 48/162+17-9 = 32+17-9
= 6+17-9
= 23-9
= 14

14. (18+10)-(3 x 6)

= (18+10)-(36) = (28)-(36)
= 28-(3*6)
= 28-(18)
= 28-18
= 10

15. (10 x 8) ÷ (20÷5)

= (10*8)/(20/5)
= (80)/(20/5)
= 80/(20/5)
= 80/(4)
= 80/4
= 20

16. {20-(24- 10)}+7

= {20-(24-10)}+7
= {20-(14)}+7
= {20-14}+7
= {6}+7
= 6+7
= 13

17. {20+(15+5)}-5

= {20+(15+5)}-5
= {20+(20)}-5
= {20+20}-5
= {40}-5
= 40-5
= 35

18. 27 − [18 − {16 − (5 −)}]

(19.) 2[19-{7+(12÷4)}]

= 2[19-{7+(12/4)}] = 2[19-{7+(3)}]
= 2[19-{7+3}] = 2[19-{10}]
= 2[19-10] = 2[9]
= 2*9
= 18

(20.) [{(30-)÷3} x 6+6]

Simplification Questions for class 5 pdf with solution

These questions involve basic addition, subtraction, and multiplication operations, and can help students practice their basic math skills. It’s important to note that the specific level of difficulty and complexity of these questions may vary depending on the individual student and the curriculum being followed.