Simplification questions for class 5

To  simplify a numerical expression having two or more operations, we use ‘BODMAS’  , where the letters  B, O, D, M,  A,  S stand for Brackets , orders(powers/indices or roots) ,  Division,  Multiplication,  Addition  and  Subtraction  respectively. The following questions  on simplifications has different types of questions that can be practiced by the students to get more ideas to simplify the expressions.

Simplification questions for class 5 (solved examples)

(i) 14 x 7+36÷4+14

sol.  14 x 7+36÷4+14= 14 x 7+9 +14                         (performing division )

= 98+9+14                                  (performing multiplication)

=121

(ii) 100-56÷7+15 x 2

Sol. 100-56÷7+15 x 2= 100-8+15 x 2     (simplifying  division)

= 100-8+30           ( simplifying  multiplication) 

= 100+30-8

= 130-8 = 122

(ii)  19 − [4 + {16 − (12 − 2)}]

Sol.  19 – [4 + {16 – (12 – 2)}] = 19 – [4 + {16 – 10}]                        (Removing  small brackets)

= 19 – [4 + 6]                                    (Removing curly  brackets)

= 19 – 10                                           (Removing square brackets)

= 9

(iv ) 12-[20 ÷{8-2(9-5-2)}]

Sol. 12-[20 ÷{8-2(9-5-2)}]= 12-[20 ÷{8-2 x 2}]                 (removing small brackets)

=12-[20 ÷{8-4}]

=12-[20 ÷4]                                  (removing braces)

= 12-5                                             (removing big brackets)

=7

(v) [24 ÷ {10- (8- )}]

Sol. [24 ÷ {10- (8- )}] = [24 ÷ {10- (8- 4)}]                  (removing bar)

=[24 ÷ {10- 4}]                           (removing small brackets)

=[24 ÷ 6]                                      (removing braces)

=4                                                    (removing big brackets)

Simplification questions for class 5 (Unsolved  problems for practice)

(i) 30÷6+10-2 x 5

(ii)   48÷16 x 2+17 – 9

(iii) (18+10)-(3 x 6)

(iv) (10 x 8) ÷ (20÷5)

(v) {20-(24- 10)}+7

(vi) {20+(15+5)}-5

(vii) 12 x 3 ÷3 x 4-2+6

(viii) 121 ÷ 11+ 29 – 2 x 10

(ix) 45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]

(x)  37 – 6 × 4 + 32 ÷ 8

(xi) 27 − [18 − {16 − (5 −)}]

(xii) 100 x 10 -100+2000÷100

(xiii) 5751 x {45-(90÷2)}

(xiv) 289+153÷17-8 x 19

(xv) 7823-128÷16 of 4 -3973

(xvi) [{64-(12+13)}÷3]+15

(xvii) 4+4+4+4 ÷ 4

(xviii)20- {18÷(7-2+1)}

(xix) 2[19-{7+(12÷4)}]

(xx) [{(30-)÷3} x 6+6]

Ans.(i)  5    (ii) 14     (iii) 10       (iv) 20      (v) 13      (vi)  35      (vii) 52      (viii) 20    (ix) 26    (x)  17   (xi) 23   (xii) 920 

 (xiii)  0     (xiv)146    (xv)   3848      (xvi) 28  (xvii) 13     (xviii)   17     (xix)   18     (xx) 60

Simplification questions for class 5 PDF

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Simplification questions for class 5  (Quiz) 

7

Created on October 20, 2021

Simplification Grade 5

1 / 10

1. Which of the following operation is performed first in simplifying a numerical expression?

+

-

x

÷

2 / 10

2.  100÷10+10 x 10

1

50

110

200

3 / 10

3.   49 ÷ 7 x 7+5 x 3 -2

6

14

54

62

4 / 10

4 .    3 x 8 ÷ 4

6

45

12

14

5 / 10

5.  4+4+4+4÷ 4

11

12

16

13

6 / 10

6.   80+800÷ 8

180

70

90

100

7 / 10

7.  16+8÷ 4-2 x 3

14

12

13

19

8 / 10

8.   5 x 50+57-57÷ 57

306

0

150

21

9 / 10

9.  80+[20 x {20-(10÷5)}]

440

430

400

80

10 / 10

10.   10 x 10 +[400÷ {100-(50-)}]

100

105

107

50

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The average score is 63%

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