PRACTICE QUESTIONS FOR CLASS 9 MATH

Problem 1 :

Solve the given equation below x + 2 log27 9  =  0

(A)  -4/3     (B)  1/2     (C)  2/5

Solution

Problem 2 :

In the given, ∠A = 64° , ∠ABC = 58°. If BO and CO are the bisectors of ∠ABC and ∠ACB respectively of ΔABC, find x° and y°

(A)  58, 122     (B)  114, 25     (C)  110, 18

Solution

Problem 3 :

Find the number of subsets for the set A  =  {1, 2, 3, 4, 5}

(A)  11   (B)  22   (C)  32

Solution

Problem 4 :

{The number of engineering colleges in Singapore}

The above set is a --------

(A)  singleton set   (B)  infinite set   (C)  finite set 

Solution

Problem 5 :

The cardinal number of the set P {0}

(A)  3   (B)  4   (C)  1 

Solution

Problem 6 :

If A  =  {1, 2, 3} and B  =  {2, 3, 4}, find A n B.

(A)  {1, 2, 3}   (B)  {2, 3}   (C)  {1, 2, 3, 4}

Solution

Problem 7 :

The equation x + 3y  =  12, 3x + 9y  =  24 has ------ solution.

(A)  unique   (B)  infinite   (C) no 

Solution

Problem 8 :

Solve 5x + 3y  =  11, 3x + 5y  =  -3 

(A)  (1, 2)   (B)  (0, 3)   (C) (4, -3) 

Solution

Problem 9 :

Find the sum of 2x4 - 3x+ 5x + 3 and 4x + 6x- 6x- 1

(A)  2x4 + 6x3 - 9x2 + 9x + 2

(B)   4x4 + 6x3 - 9x2 - 9x 

(C)  -2x4 + 6x3 + 9x2 - 9x + 2

Solution

Problem 10 :

If a/b  =  5 then the value of (a - b)/(a + b) is

(A)  1/8   (B)  2/3   (C)  3/4 

Solution

Problem 11 :

Simplify (x2 - 9)/(2xy - 6y + 5x - 15)

Solution

Problem 12 :

ABCDEFGH is cuboid with a square base of side x cm. CG = 20 cm and AG = 28 cm. Calculate the value of x.

9th-grade-math-q5.png

Solution

Answer Key

1)  the answer is -4/3.

2)  x  =  <BOC  =  122

3)  the answer is 32.

4)  the answer is finite set.

5)  the n(P) is 1.

6)  the answer is {2, 3}

7)   it has no solution.

8)  the solution is (4, -3)

9)   the answer is 2x+ 6x- 9x+ 9x + 2

10)   the answer is 2/3.

11)   (x + 3) / (2y + 5)

12)  side length of cube is 7.87 cm.

Question 1 :

Given that 0 < x < 1, and set A = {x, x2, x3, x4}, what is the smallest value in set A ?

(A)  x  (B)  x2  (C)  x3  (D)  x

 (E)  cannot be determined 

Solution

Question 2 :

Sammy has a faulty clock. Every 15 degrees that one of the hands moves, 5 minutes passes. If a hand is initially 5 : 35 PM, in how long will be the hand be at that same position ?

(A)  65  minutes  (B)  2 hours  (C)  1 hour

(D)  45 minutes   (E)  1 hour and 15 minutes

Solution

Question 3 :

If (x - 2) (x + 2)  =  ax2 + bx + c, what is the sum of a, b and c ?

(A)  -4  (B)  -3  (C)  0  (D)  1  (E)  5

Solution

Question 4 :

Natalie walks in a special way. After every 2 steps she takes, she takes 1 step in the opposite direction. She starts at point A and walks forward. When she is 7 steps away from the point A, she has reached her destination point B. How many steps in total did she take to get from point A to B.

(A)  7  (B)  8  (C)  17  (D)  15  (E)  18

Solution

Question 5 :

If Cmn  =  C(m + n), for what value of n is Cmn neither positive nor negative ?

(A)  -C  (B)  -m  (C)  2m  (D)  0  (E)  1/m

Solution

Question 6 :

Two sides of a triangle at 6 and 8. What is the length of the third side ?

(A)  2  (B)  4  (C)  5  (D)  10  (E)  Cannot be determined

Solution

Question 7 :

2 + (1/3)  =  14/b, what is b ?

(A)  3  (B)  6  (C)  7  (D)  9  (E)  28

Solution

Question 8 :

The radius of circle A is x and the radius of circle B is 2. If the circumference of circle A is two times the circumference of the circle B, find the value of x.

(A)  1  (B)  2  (C)  3  (D)  4  (E)  5

Solution

Question 9 :

In the formula V = r2h, if h is doubled and r is tripled, then V is multiplied by ?

(A)  6  (B)  9  (C)  12  (D)  18  (E)  36

Solution

Question 10 :

Max A returns the largest value in the set A, min A returns the lowest value in the set A. For example, max {1, 2, 3} = 3 and min {0, 4, 5} = 0. What is max {min{x, 2x, 3x}, max{x/2, x/4,x/8}} ?

(A)  x   (B)  2x  (C)  x/2  (D)  3x

  (E)  cannot be determined.

Solution

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