SAMPLE MATH PROBLEMS FOR GRADE 7

Question 1 :

What is the square root of 196?

(A) 14                (B) 19                 (C) 12

Solution

Question 2 :

A play ground is 100 m long and 70 m wide. How much distance does a girl run when she runs 5 times around the playground?

(A) 2500 m      (B) 2300 m        (C) 1700 m

Solution

Question 3 :

From a rectangular sheet of tin, of size 100 cm by 80 cm, are cut four squares of side 10 cm from each corner. Find the area of the remaining sheet.

(A) 2400 cm²      (B) 3600 cm²        (C) 7600 cm²

Solution

Question 4 :

If x = 2, y = 3 and z =-2 then find the value of 6x-7y + 4z

(A) 12                  (B) -17             (C) -10

Solution

Question 5 :

Find the value of x in 4^4x-7 = 4 ^x-1

(A) 2            (B) 5            (C) 3

Solution

Question 6 :

Expand (x  + 5y)²

(A) x² + 10 xy + 25y²    (B) x² - 10 xy - 25y²   

(C) x² + 10 xy - 25y²

Solution

Question 7 :

On selling a clock for $240, a trader loses 4%. In order to gain 10%, he must sell the clock for

(A) $275      (B) $295      (C) $365

Solution

Question 8 :

Find the remainder when 8x³ - 12x² + 6x +15 divided by 2x-3. 

(A) 20         (B) 24         (C) 10

Solution

Question 9 :

The difference of two numbers is 72 and quotient obtained by dividing the one by other is 3. Find the numbers.

(A) 25, 97             (B) 15, 87          (C) 36, 108

Solution

Question 10 :

In triangle ABC, DE parallel to EC find AC when AB = 15 cm, AD  =  10 cm and AE  =  8 cm 

(A) 8 cm      (B) 4 cm      (C) 2 cm

Solution

Answer Key

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