GRADE 9 MATH TEST QUESTIONS

Problem 1 :

{Prime numbers which have 4 as a factor} is a

 (A) Empty set     (B) Set of all prime numbers    

 (C) Singleton set

Solution

Problem 2 :

Joy has  thin rods, one each of every integer length from  1 cm through 30 cm. She places the rods with lengths  3 cm, 15 cm, and  7 cm on a table. She then wants to choose a fourth rod that she can put with these three to form a quadrilateral with positive area. How many of the remaining rods can she choose as the fourth rod?

 (A) 40               (B) 10             (C) 20

Solution

Problem 3 :

In a class of 35 students, 28 students passed in History, 22 in Mathematics and 18 in both Subjects.

Find the number of students who passed in (i) History alone and (ii) Mathematics alone

Solution

Problem 4 :

Subtract 2x3–3x2 – 1 from x3 + 5x2–4x–6

 (A) –x3-8x2+4x+5      (B) –x3-8x2-4x-5   

(C) –x3+8x2-4x-5

Solution

Problem 5 :

Find the product of 2x + 3y and x2– x y + y2 ?

(A) x3-x2y-xy2+3y3        (B) 2x3-x2y+xy2-3y3 

(C) 2x3+x2y-xy2+3y3

Solution

Problem 6 :

Expand (11a-7b)2

 (A) 121a2+154ab-49b2 (B) 121a2-154ab+49b2 

(C) 121a2+154ab-49b2

Solution

Problem 7 :

If the values of a + b and a – b are 7 and 4 respectively, find the values of a2 + b2 and ab.

 (A) 15/2, 3/4    (B) 35/2, 13/4    (C) 65/2, 33/4

Solution

Problem 8 :

The factors of x2–2xy-x+2y.

 (A) (x+y)(x-2)      (B) (x-2y)(x-y)    (C) (x-2y)(x-1)

Solution

Problem 9 :

What is the remainder when 2x3+3x2+5x+2 is divided by x+1

 (A) -2                 (B) 2             (C) 0

Solution

Problem 10 :

For every real number x, does x² - 1 > 0?

 (A) True         (B) False         (C) Not to decide

Solution

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Answers

(1)  Empty set

(2)  10

(3)  10, 4

(4)  –x³-8x²-4x-5 

(5)  121a² + 154 a b-49 b²

(6)  2x³-x²y+xy²-3y³

(7)  65/2, 33/4  

(8)  (x-2y) (x-y) 

(9)  -2

(10)  True

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