GRADE 9 MATH QUESTIONS

Problem 1 :

Find the value of k, if x – 1 is a factor of

4x3 + 3x2 – 4x + k

(A) -3
(B) -5
(C) 0


Solution

Problem 2 :

What is the value of the expression given below?

³√4  x  ³√16

(A) 3
(B) 4
(C) 2


Solution

Problem 3 :

Find the area of the quadrilateral whose diagonal measures the length of 50 m and the perpendicular distance measures 10 m and 20 m respectively.

(A) 7.50 sq.m
(B) 75 sq.m
(C) 750 sq.m


Solution

Problem 4 :

Cost of leveling a land is $12 per square meter. A land is in the form of a trapezium whose parallel sides are of lengths 18m and 12 m. If its other two sides are each of length 5m, find the total cost incurred in leveling the land.

(A) 230
(B) 540
(C) 720


Solution

Problem 5 :

The perimeter of a rhombus is 20 cm. One of the diagonals is of length 8 cm. Find the length of the other diagonal and the area of the rhombus.

(A) 50 sq.cm
(B) 32 sq.cm
(C) 24 sq.cm


Solution

Problem 6 :

Evaluate the following log ₂ 64 + log ₂ 4

(A) 4
(B) 8
(C) 6


Solution

Problem 7 :

Two sets are called ____________ if they have same elements.

(A) Equivalent sets
(B) Null set
(C) Equal sets


Solution

Problem 8 :

Find the perimeter of the sector whose area is 924 sq.cm and the central angle is 240.

(A) 100 cm
(B) 115 cm
(C) 130 cm


Solution

Problem 9 :

Factorize 3x²   - 18xy

(A) 3x (x-6y)
(B) 3 x (x-18y)
(C) 3 (x2-18y)


Solution

Problem 10 :

Solve

3(x+4) + 2 (y-3) = 17

and

7(x-3) - 3 (y+4)  =  8

(A) (8,1)
(B) (5,-2)
(C) (0,6)


Solution

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