Class 9 Maths Half Yearly Paper

 MCQ:

1. Which of the following is a rational number?

(a) π

(b) 0.1010010001000...

(c) √5

(d) 0.835835835...

2. The value of {8-⁴/³+2-²}¹/²

(a) 4

(b) 1/2

(c) 1

(d) 2

3. The rationalisation factor of 2+√3, is

(a) 2-√3

(b) √2+3

(c) √2-3

(d) √3-2

4. If a¹/³+b¹/³+c¹/³=0, then

(a) a+b+c=0

(b) (a+b+c)³=27 abc

(c) a+b+c=3 abc

(d) a³+b³+c³=0

5. Zero of the zero polynomial is

(a) 0

(b) 1

(c) Any real number 

(d) Not define

6. The perpendicular distance of the point P(4,3) from x-axis is

(a) 4

(b) 3

(c) 5

(d) 1

7. The graph of linear equations 2x+3y=6 cuts the y-axis at he point

(a) (2,0)

(b) (0,2)

(c) (3,0)

(d) (0,3)

8. Things which are double of the same thing are

(a) Equal

(b) Halves of the same thing

(c) Unequal

(d) Double of the same thing 

9. One angle is equal to three times its supplement. The measure of the angles is

(a) 130°

(b) 135°

(c) 90°

(d) 120°

10. The length of each side of an equilateral triangle of area4√3 cm², is

(a) 4 cm

(b) 4/√3 cm

(c) 3/√4 cm

(d) 3 cm

11. Prove that (√2+2)² is an irrational number.

12. Find the values of x: 2⁵*÷2*=⁵√20.

13. Evaluate: (7.83×7.83+1.17×1.17)/6.66

14. Find the value of 6/√5-√3, it being given that √3=1.732 and √5=2.236.

15. Write four solutions for equation:

       3x+4y=7

16. The supplement of an angle is one third of itself. Determine the angle and its supplement.

17. Evaluate: 1.5³-0.9³-0.6³.

18. Factorise: x²+3√3x+6

19. The perimeter of a triangle field is 420m and its sides are in the ratio 6:7:8. Find the area of the triangular field.

20. What must be added to 3x³+x²-22x+9 so that result is exactly divisible by 3x²+7x-6?

21. Factorise: 27p³-1/216-9/2p²+1/4p.

22. If x=3+2√2, then find the value of √x+1/√x.

23. POQ is a line. Ray OR is a perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that angle ROS=1/2(QOS-POS).




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