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.

Contents

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

$19 - [4 + {16 - (12 - 2)}]$

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)

(V) [24 ÷ {10- (8- $\overline{6-2}$ )}]

Sol. [24 ÷ {10- (8- $\overline{6-2}$

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

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

=[24 ÷ 6] (removing braces)

=4 (removing big brackets)

(VI) $\mathbf{60 -48 \div 6 \times 4 +8}$

Sol. $60 -48 \div 6 \times 4 +8$ = $60 -8 \times 4 +8$ (solving division)

= $60- 32 +8$ (solving multiplication)

= 68 -32 ( solving addition)

= 36

(VII) $Simplification questions for class 5$

Sol. $56\div 14 \times 3-10\div 5+1 = 4 \times 3-2+1$ (solving division)

= 12-2+1 (solving multiplication)

=13 -2 (solving addition)

=11

(VIII) $\mathbf{\left [ \left \{ \left ( 30- \overline{9-6} \right )\div 3 \right \}\times 6+6 \right ]}$

Sol. $\left [ \left \{ \left ( 30- \overline{9-6} \right )\div 3 \right \}\times 6+6 \right ]=\left [ \left \{ \left ( 30- 3 \right )\div 3 \right \}\times 6+6 \right ]$ (removing bar)

= $\left [ \left \{27 \div 3 \right \}\times 6+6 \right ]$ (removing small brackets)

= $\left [9\times 6+6 \right ]$ (removing curly braces)

= 54 +6 (solving multiplication)

= 60

(IX) $\mathbf{\left [ 40\div \left \{ 19-3\left ( 6-\overline{4-1} \right ) \right \} \right ]}$

Sol. $\left [ 40\div \left \{ 19-3\left ( 6-\overline{4-1} \right ) \right \} \right ]= \left [ 40\div \left \{ 19-3\left ( 6-3 \right ) \right \} \right ]$ (removing bar)

= $\left [ 40\div \left \{ 19-3\times 3 \right \} \right ]$ (removing small brackets)

= $\left [ 40\div \left \{ 19-9 \right \} \right ]$ (solving multiplication under curly braces}

= $\left [ 40\div 10 \right ]$ (removing curly braces)

= 4

(X) $\mathbf{100 \times 10 -100 +2000\div 100 }$

Sol. $100 \times 10 -100 +2000\div 100 =100 \times 10 -100 +20$ (solving division)

= 1000 -100 +20 (solving multiplication)

= 1020 -100 (solving addition)

= 920

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 − $\overline{4-1}$ )}]

(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- $\overline{9-6}$ )÷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

Download PDF “Simplification questions for class 5 pdf”

Simplification questions for class 5 (Quiz)

272

Created on October 20, 2021

Simplification Grade 5

1 / 10

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

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

5 x 50+57-57÷ 57

306

0

150

21

9 / 10

80+[20 x {20-(10÷5)}]

440

430

400

80

10 / 10

10. 10 x 10 +[400÷ {100-(50- $\overline{3 \times 10}$ )}]

100

105

107

50

Your score is
The average score is 68%
LinkedIn Facebook Twitter VKontakte
0%