MATH PRACTICE TEST FOR GRADE 7

Question 1 :

The sum of the digits of a two digit number is 15 and if 9 is added to the number the digits are interchanged.Find the required number. 

(A) 78               (B) 19           (C) 82

Solution

Question 2 :

Two trains with a speed of 35km per hour and 28 km per hour respectively, starting at the same time, run in the opposite directions between two stations A and B, 315 km apart.Find where they will meet

(A) 180 km apart from A

(B) 130 km apart from A

(C) 175 km apart from A

Solution

Question 3 :

The sum of two number is 135 and are in the ratio 4:5.Find the required numbers. 

(A) 80, 95      (B) 60, 75        (C) 30, 35

Solution

Question 4 :

The sum of two numbers is 3000. If 8% of one number is equal to 12% of the other, find the numbers.

(A) 1800 and 1200 

(B) 2240 and 2800 

(C) 2700 and 3100

Solution

Question 5 :

Solve the following 2(6x-5) = (3x+2) + 6

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

Solution

Question 6 : 

A chord of length 16 cm is drawn in a circle of radius 10 cm. Find the distance of the chord from the centre of the circle.

(A) 30 cm          (B) 25 cm        (C) 12 cm

Solution

Question 7 :

In the figure, O is the center of the circle, <ABO  =  30°, where A, B and C are points on the circle . What is the value of "x" ?

(A)  60°            (B)  100°             (C)  50°

Solution

Question 8 :

The base of the parallelogram is twice the height.If the area is 578 find the base and height.

(A) Height = 10 cm and Base = 20 cm

(B) Height = 17cm and Base = 34 cm

(C) Height = 15 cm and Base = 10 cm

Solution

Question 9 :

The perimeter of a triangle field is 144 m and the ratio of the sides is 3:4:5.Find the area of the field.

(A) 318 m²           (B) 522 m²          (C) 864 m ²

Solution

Question 10 :

The circumference of a circle exceeds the diameter by 20 cm. Find the radius of the circle. 

(A) 42/3           (B) 51/2          (C) 55/2

Solution

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