Different types of questions on simplifications are explained here step by step.
Simplification questions for class 7(Solved examples)
(i)16+8 ÷ 4-2 x 3
Sol. According to the ‘BODMAS’ rule we have to perform division first followed by multiplication , addition and subtraction.
16+8 ÷ 4-2 x 3 =16+2-2 x 3 ( performing division)
=16+2-6 (performing multiplication)
=18-6 (performing addition)
= 12
(ii)
Sol. First we have to remove vinculum (bar) , this implies
(removing small brackets)
(removing curly braces)
= 23-23 (removing big brackets)
=0
(iii)
Sol. (removing bar)
= (removing small brackets)
(removing curly braces)
=25-4 (performing multiplication)
=21
(iv) [(-10 x (25-
)) ÷ (-5)]
Sol. [(-10 x (25-
)) ÷ (-5)]=
[(-10 x (25-10)) ÷ (-5)] (removing vinculum)
= [(-10 x (15)) ÷ (-5)]
=[(-150) ÷ (-5)] (removing small brackets)
= x 30 (removing big brackets)
= 4+6 (performing multiplication)
=10
(v) 8 − [28 ÷ {34 − (36 − 18 ÷ 9 × 8)}]
Sol. 8 − [28 ÷ {34 − (36 − 18 ÷ 9 × 8)}] = 8 − [28 ÷ {34 − (36 −2 × 8)}] [solving division]
= 8 − [28 ÷ {34 − (36 −16)}] [Performing multiplication]
= 8 − [28 ÷ {34 −20}] [Removing parentheses]
= 8 −[28 ÷ 14] [Removing braces]
= 8 − 2 [Removing square brackets]
=6
(vi) 16 − 2 ÷ 7 + 6 × 2
Sol. 16 − 2 ÷ 7 + 6 × 2=
=
=
=
=
(vii) 197 – [{42 + (56 –
)} +108]
Sol. 197 – [ {42 + (56 –
)} +108] = 197 – [
{42 + (56 – 17)} + 108] [Removing vinculum]
= 197 – [ {42 + 39} + 108] [removing innermost brackets]
= 197 – [()+ 108] [Removing braces]
= 197 – [9 + 108] [removing big brackets]
= 197 – 117
= 80
Students can practice these examples on simplification which are discussed here step by step and then proceed to the worksheet for more practice.
-
Simplification questions for class 7 ( Unsolved questions with answers)
(i) 36-2(20+12÷ 4 x 3 -2 x 2)+10
(ii) 18+(28-7) ÷ 3 -11
(iii) {
÷
}
(iv) {-5-(-48) ÷ (-16)}
(v) ÷
÷
(vi) ÷
(vii) 8-[28÷{34-(36-18÷9 x 8)}]
(viii)
(ix) ÷
(x) 54 ÷3 of 6+9
(xi)19 − [4 + {16 − (12 − 2)}]
(xii) 36 − [18 − {14 − (15 − 4 ÷2 ×2)}]
(xiii) 39 – [23 – {29 – (17 – )}]
(xiv) 15 – (-5) {4 – } ÷ [3{5 + (-3) x (-6)}]
Ans. (i) -4 (ii) 14 (iii) (iv) 24 (v) 4 (vi)
(vii) 6 (viii)
(ix) 3 (x) 12 (xi) 9 (xii) 21 (xiii)34 (xiv) 15
Bodmas questions for class 7 worksheet
To download PDF bodmas questions for class 7 worksheet
Also read :