by Simplification questions for class 6
For simplifying an expression , the order of performing the various operations should be strictly in the following order :
(i) Brackets (ii) of (iii) Division (iv) Multiplication (v) Addition (vi) Subtraction
Remember the word ‘BODMAS ‘ , where the letters B, O, D, M, A, S stand for Brackets , of, Division, Multiplication, Addition and Subtraction respectively.
Contents
Simplification questions for class 6 with answers:
(i) Simplify : 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
(ii) 4+4+4+4÷4
4+4+4+4÷4 =4+4+4+1 (solving division)
=13
(iii) 25− [4 + {16 − (12 − 2)}]
25− [4 + {16 − (12 − 2)}] = 25− [4 + {16 − 10}] (removing small brackets)
= 25− [4 + 6] (removing curly braces)
=25-10 (removing big brackets)
=15
(iv) 36 − [18 − {14 − (15 − 4 ÷2 ×2)}]
36 − [18 − {14 − (15 − 4 ÷2 ×2)}]= 36 − [18 − {14 − (15 − 2 ×2)}] (Performing division in small brackets)
=36 − [18 − {14 − (15 − 4)}] (performing multiplication)
= 36 − [18 − {14 − 11}] (removing small brackets)
=36- [18-3] (removing curly braces)
=36-15 (removing big brackets)
=21
(v) 10×10+[400÷{100-(50-)}]
10×10+[400÷{100-(50-)}] =10×10+[400÷{100-(50-30)}] (removing bar)
=10×10+[400÷{100-20}] (removing small brackets)
=10×10+[400÷80] (removing braces)
=10×10+5 (removing big brackets)
= 100+5 (performing multiplication)
= 105
(vi) 20−[4+{16−(12− 3)}]
Sol. 20 – [4 + {16 – (12 – 3)}] = 20 – [4 + {16 – 9}] (Removing small brackets)
= 20 – [4 + 7] (Removing curly brackets)
= 20 – 11 (Removing square brackets)
= 9
(vii ) 13-[20 ÷{8-2(9-5-2)}]
Sol. 13-[20 ÷{8-2(9-5-2)}]= 13-[20 ÷{8-2 x 2}] (removing small brackets)
=13-[20 ÷{8-4}]
=13-[20 ÷4] (removing braces)
= 13-5 (removing big brackets)
=8
(viii) [30 ÷ {10- (8- )}]
Sol. [30 ÷ {10- (8- )}] = [30 ÷ {10- (8- 4)}] (removing bar)
=[30 ÷ {10- 4}] (removing small brackets)
=[30 ÷ 6] (removing braces)
=5 (removing big brackets)
Simplification questions (unsolved with answers)
Simplify each of the following:
(i)(3 x 2) -(8-5)
(ii) 30÷ 6+10-2× 5
(iii) (18+10)-(3 x 6)
(iv) 48÷16×2+17-9
(v) (10×8) ÷(20÷5)
(vi) {20+(15+5)}-5
(vii) 121÷ 11+29-2 ×10
(viii) 36 – [18 – {14 – (15 – 4 ÷ 2 x 2)}]
(ix) 45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]
(x) 60-48÷6×4+8
(xi) 39-15+18×9÷3
(xii) [29 – (-2) {6 – (7 – 3)}] ÷ [3 x {5 + (-3) x (-2)}]
(xiii) 100-72÷8+4×3
(xiv) 30+75÷15×4-18
(xv) 12-[20÷{8-2(9-5-2)}]
(xvi) 4+4+4+4÷4
(xvii) 25− [4 + {16 − (12 − 2)}]
(xviii) 36 − [18 − {14 − (15 − 4 ÷2 ×2)}]
(xix) 10×10+[400÷{100-(50-)}]
(xx) [40÷{19-3(6- )}]
Ans. (i) 2 (ii) 5 (iii) 10 (iv) 14 (v) 20 (vi) 35 (vii) 20 (viii) 21 (ix) 26 (x) 36 (xi) 78 (xii) 1
(xiii) 103 (xiv) 32 (xv) 7 (xvi) 13 (xvii) 15 (xviii) 21 (xix) 105 (xx) 4
Simplification worksheet PDF
(Download PDF click here) Simplification worksheet class 6
Simplification questions quizzes for grade 6
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