Simplification questions for class 6 with answers and practice questions with PDF

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 wordBODMAS ‘  , where the letters  B, O, D, M,  A,  S stand for Brackets , of,  Division,  Multiplication,  Addition  and  Subtraction  respectively. 

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-\overline{3\times 10}

)}]

10×10+[400÷{100-(50-\overline{3\times 10})}] =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- \overline{6-2})}]

Sol. [30 ÷ {10- (8- \overline{6-2})}] = [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- \overline{4-1})}]

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 questions for class 6 worksheet PDF

(Download PDF    click here)  Simplification worksheet class 6

Simplification  questions quizzes for grade 6

108
Created on

Simplification class 6

1 / 10

 Simplify

(i)   36 - [18 - {14 - (15 – 4 ÷ 2 x 2)}]

2 / 10

(ii)  25− [4 + {16 − (12 − 2)}]

3 / 10

(iii)  12-[20÷{8-2(9-5-2)}]

4 / 10

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

5 / 10

(v)  10x10+[400÷{100-(50-\overline{3\times 10})}]

6 / 10

(vi)  [40÷{19-3(6- \overline{4-1})}]

7 / 10

(vii) 80+800÷8

8 / 10

(viii) 100\times 10-100+2000÷100

9 / 10

(ix) 6+6-6÷6 x 6

10 / 10

(x) 16 +8 ÷ 4-2 x  3

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