DMAS questions for class 5

DMAS questions for class 5 ( NUMERICAL EXPRESSIONS WITHOUT BRACKETS )

DMAS RULE

DMAS rule is followed when multiple arithmetic operations  like addition, subtraction, multiplication and division are present  in a given mathematical expression.  In ‘DMAS’, D stands for division, M for multiplication, A for addition, and S for subtraction. DMAS represents the order of operations. When a mathematical expression involving all four operations is given, we solve these operations in the order:

  1. Division     2. Multiplication       3. Addition      4.  Subtraction

For example, consider the following cases.

Example: Simplify: 5 + 4 × 3 – 9 ÷ 3
Sol. In this example, all the four operations are there, so we have to use DMAS rule.

5+ 4 × 3 – 9 ÷ 3= 5 + 4 × 3 – 3 (Division: 9 ÷ 3 = 3)
= 5 + 12 – 3       (Multiplication: 4 × 3 = 12)
= 17 – 3              (Addition: 5 + 12 = 17)
= 14                     (Subtraction: 17 – 3 = 14)

Example : Simplify using DMAS rule  5 x 3 +8 ÷ 4

Solution. 5 x 3 +8 ÷ 4=  5 x 3 +8 ÷ 4

= 5 x 3 +2

=15+2

=17

DMAS SUMS FOR CLASS 5 (solved examples)

Simplify the following numerical expressions:

(i) 28-3 x 5 +4

Sol.  28-3 x 5 +4=28-15+4

=32-15

=17

(ii) 15-3 x 4 ÷2+2

Sol. 15-3 x 4 ÷2+2= 15-3 x 2+2

=15-6+2

=17-6

=11

(iii) 39-18÷3+2 x 3

Sol. 39-18÷3+2 x 3 =39-6+2 x 3

=39-6+6

=45-6

=39

(iv) 5 x 8-6 ÷2

Sol. 5 x 8 -6 ÷2=5 x 8-3

=40-3

=37

(v) 15÷5 x 4 ÷ 2

Sol. 15÷5 x 4 ÷ 2=3 x 2

=6

(vi)10+8÷4-2 x 6

Sol. 10+8÷4-2 x 6=10+2-2 x 6

=10+2-12

=12-12

=0

(vii)42-18 ÷2 x 3

Sol. 42-18 ÷2 x 3=42-9 x 3

=42-27

=15

(viii) 5 ÷ 5 +6 x 6

Sol. 5 ÷ 5 +6 x 6=1 +6 x 6

=1+36

=37

(ix) 7 × 3 – 4 + 60 ÷ 10

Sol. 7 × 3 – 4 + 60 ÷ 10= 7 × 3 – 4 + 6
= 21 – 4 + 6
= 27 – 4
= 23

(x) 18+4×6÷2-9

Sol. 18+4×6÷2-9=18+4×3-9

=18+12-9

=30-9

=21

(xi) 128÷ 4 +12 x 5 -4

Sol. 128÷ 4 +12 x 5 -4= 32+12 x 5 -4              (solving ÷)

=32+60-4                      (Solving  x )

= 92-4                             (solving + )

= 88                                  (solving  -)

(xii)  49÷ 7 x 7 +5 x 3 – 2

Sol. 49÷ 7 x 7 +5 x 3 – 2= 7 x 7 +5 x 3 – 2

=49 + 15 -2

=64-2

=62

(xiii) 10+12÷ 4+2 x 9 -10

Sol. 10+12÷ 4+2 x 9 -10= 10+3+2 x 9 -10

= 10+3+18-10

= 31-10

= 21

(xiv) 57 x 50 +57 -57÷57

Sol.   57 x 50 +57 -57÷57 =57 x 50 +57 -1

=2850+57-1

=2907-1

=2906

(xv) 289+153÷17-8 x 19 

Sol. 289+153÷17-8 x 19 = 289+9-8 x 19

=289+ 9-152

=298-152

=146

(xvi) 100 x 10-100+2000÷100

Sol.  100 x 10-100+2000÷100= 100 x 10-100+20

=1000-100+20

=1020-100

=920

(xvii) 30÷ 6+10-2 x 5

Sol. 30÷ 6+10-2 x 5=5+10-2 x 5

=5+10-10

=15-10

=5

(xviii) 48÷16 x 2 +17-9

Sol. 48÷16 x 2 +17-9=3 x 2 +17-9

=6+17-9

=23-9

=14

(xix)12 x 3 ÷ 3 x 4 -2+6

Sol. 12 x 3 ÷ 3 x 4 -2+6 =12 x 1 x 4 -2+6

=48-2+6

=54-2

=52

(xx) 121÷  11+29-2 x 10

Sol. 121÷  11+29-2 x 10= 11+29-2 x 10

=11+29-20

=40-20

=20

DMAS QUESTIONS FOR CLASS 5  (Unsolved with answers)

(i) 6 + 42 ÷ 2 – 15

(ii) 25 × 2 – 42 ÷ 6 + 18

(iii) 8 + 9 – 2 × 3

(iv) 12 ÷ 2 × 6 + 4 – 3

(v) 4 + 44– 5 × 6

(vi) 5 + 36 ÷ 2 × 3 – 4

(vii) 63 ÷ 7 × 3 – 4

(viii) 4 – 6 × 2 ÷ 2 + 2

(ix) 3 + 48 ÷ 8 – 9

(x) 36 – 10 × 2 ÷ 5 – 11

(xi)60-48 ÷ 6 x 4 +8

(xii) 39-16 +18 x 9 ÷  3

(xiii) 100-56 ÷ 7 +15 x 2

(xiv) 16+8 ÷ 4 -2 x 3

(xv)  5 x 50 +57 -57 ÷ 57

Ans. (i) 12    (ii) 61   (iii) 11     (iv) 37    (v)18    (vi)  55    (vii)23    (viii) 0   (ix) 0   (x) 21  (xi) 36  (xii) 77   (xiii) 122   (xiv) 12  (xv) 306

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