GRADE 5 MATH PRACTICE WORKSHEET

Question 1 :

The in circle of triangle ABC touches BC at D, AC at E, and AB at F. Given AF = 3, BD = 4, and CE = 6, find the perimeter of triangle ABC

(A) 26        (B) 55        (C) 37

Solution :

AF  =  AE  =  3, BD  =  BF  =  4 and CE  =  CD  =  6

Perimeter of the triangle ABC  =  AB + BC + CA

AB  =  AF + FB  =  3 + 4 ==>  7

BC  =  BD + DC  =  4 + 6 ==>  10

CA  =  CE + EA  =  6 + 3  ==>  9

Perimeter of the triangle  =  7 + 10 + 9

=  26 cm

Question 2 :

Find the sum of the first 16 terms of the arithmetic series 5, 10, 15 . . .

(A) 490        (B) 230         (C) 510

Solution :

The sum of n terms  =  s_n  =  (n/2)[2a + (n - 1)d]

a  =  5, d  =  t₂ - t₁  =  10 - 5  ==>  5

s₁₆  =  (16/2)[2(5) + (16 - 1)(5)]

s₁₆  =  8[10 + (15)5]

s₁₆  =  8[10 + 75]

s₁₆  =  8[85]

  =  425

Question 3 :

Subtract 573.9246 - 215.6

(A) 320.1046        (B) 125.3246      (C) 358.3246

Solution :

573.9246 - 215.6  =  358.3246

Question 4 :

Calculate 2 × 0 × 0 × 8 x 12  =

(A) 5     (B) 0         (A) 3

Solution :

In the expression, one of the number is 0. Hence the answer is 0.

Question 5 :

Express 11/5 in decimal form

(A) 5.5          (B) 2.2             (C) 8.2

Solution :

By dividing 11 by 5, we get 2.2

Question 6 :

The sum of the angles of a triangle is

(A) 180 degree        (B) 240 degree    (C) 360 degree

Solution :

The sum of the interior of the triangle is 180 degree.

Question 7 :

The circle is having 14 cm as diameter. Then what will be the perimeter of the circle

(A) 25π        (B) 50π        (C) 14π

Solution :

Diameter of the circle  =  14 cm

radius of the circle  =  7 cm

Perimeter of the circle  =  Circumference of circle

  =  2πr

  =  2π(7)

  =  14π

Question 8 :

Divide 0.4096 ÷ 0.032

(A) 12.8         (B) 15.3           (C) 10.1

Solution :

0.4096 ÷ 0.032  =  0.4096 / 0.032

Multiplying the numerator and denominator by 1000, we get

  =  4096/320

  =  12.8 

Question 9 :

Reduce 45% into a fraction.

(A) 9/20       (B) 9/17         (C) 5/19

Solution :

45%  =  45/100

Dividing the numerator and denominator by 5 times table. we get 

  =  9/20

Question 10 :

Multiply 6a x 2a

(A) 8a       (B) 12a²         (C) 8a²

Solution :

6a x 2a  =  12a²

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