9th Grade Maths Test

This is the maths test for 9^th grade students. This test is designed to help you prepare for your maths exams and the questions are solved. This practice test is intended to build your proficiency. This is compiled to help you score good grades in your mathematics examination. We have covered few topics like algebra, geometry, sequences, graphs and problem solving.

1. Complete the following algebraic sum:

3x - 2x (4y + 5y - 3)

A. +16xy + 9x

B. -18xy - 9x

C. -18xy + 9x

Answer: C. -18xy + 9x

2. Simplify the following fraction completely:               
   2x/6 + 3y-4/2 – 4x+3/3

A. 10x - 6 / 6

B. -6x + 9y - 6

C. -2x + 3y -7

Answer: B. -6x + 9y - 6

3. Factorise fully:
   3x – 6xy + 9x²yz

A. 1 (3x - 6xy + 9xyz)

B. 3 (x - 2xy + 9xyz)

C. 3x (1 - 2y + 3xyz)

Answer: C. 3x (1 - 2y + 3xyz)

4. Factorise fully:
   169x² - 144

A. 56.3x - 48

B. (13x + 12) (13x - 12)

C. 14x – 13

Answer: B. (13x + 12) (13x - 12)

5. Is congruency the same as similiarity?

A. True

B. False

Answer: A. True

6. What are the next three numbers in this sequence?
   12, 9, 6, 3...

A. 0, -2, -6

B. 0, -3, -6

C. 3, 0, -3

D. None of the above.

Answer: B. 0, -3, -6

Explanation: Subtract 3 from the previous term.

7. Continue each pattern for 3 more terms
   7, 14, 28...

Answer: 56, 112, 224

Explanation: Multiply the previous term by 2.

8. A fence will be built to enclose a 100-m by 70-m field.  It will need a post at each corner and one every 5 m.  How many posts are needed?

Answer: 68

Explanation: 2(100÷5) +2(70÷5) = 2(20) +2(14) = 40+28 = 68

Therefore, 68 posts are needed.

9. Dave is meeting his friends at 7:30 PM.  The average speed of the bus is 28 km/h, and he needs to travel 20 km. When is the latest time he should catch the bus?

A. 6:50 PM

B. 6:43 PM

C. 6:47 PM

D. 6:45 PM

E. None of the above

Answer: C. 6:47 PM

Explanation: Calculate the time to travel 20 km, and then subtract this time from 7:30 PM.

10. A rectangular yard measures 8 m by 6 m. What happens to the area if each dimension is doubled?

A. It becomes four times smaller

B. Nothing

C. It becomes twice as large

D. It becomes three times greater

E. None of the above

Answer:  E. None of the above

Explanation: 2lx2w = 4xl+w = 4x (old area)

Therefore, the area would become four times GREATER.

11. Evaluate: 
    a) 2/5 + [-(3/7)]
    b) -(2/9) + 1/6
    c) -(2/3) x 1/4
    d) 7/12 ÷ [-(1 3/4)]

A. a) - (1/35) b) - (1/18) c) - (1/6) d) - (1/3)

B. a) 1/35 b) 1/18 c) 1/6 d) 1/3

C. a) 3/48 b) 8/78 c) 6/7 d) 7/9

D. a) - (3/48) b) - (8/78) c) - (6/7) d) - (7/9)

E. None of the above

Answer: A. a) - (1/35) b) - (1/18) c) - (1/6) d) - (1/3)

Some useful links:

http://www.proprofs.com/quiz-school/quizshow.php?title=practice-grade-9-math-exam&q=7&next=y

http://www.proprofs.com/quiz-school/quizshow.php?title=grade-9-math-exam-review-quiz-1-9&q=6&next=n

Both the above links have the practice maths test with solved questions is given; it will help you to test your proficiency.

http://www.helpteaching.com/questions/Math/Grade_9

This site is again with the mathematics questions. Tests and worksheets can also be studied here.

http://www.math-only-math.com/9-grade-math.html

It is a useful site to learn mathematics step by step. All the lessons are planned and introduced in different activities to make it interesting.