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Mth – Quarter 2

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Question 1 of 20 0% read

1. What is the reciprocal of sin θ?

A cosec θ

B sec θ

C cot θ

D cos θ

2. In a right-angled triangle, if sin θ = 0.6, then cos θ is approximately:

A 0.8

B 0.4

C 1.2

D 0.2

3. Which equation has no real solution?

A √x = 3

B √x = -3

C |x| = 4

D |x - 1| = 0

4. Solve for x: 3√x - 2 = 10

A 4

B 16

C 8

D 36

5. Convert 120° to radians.

A 2π/3

B π/3

C 2π/5

D 3π/4

6. Simplify: sin² θ + cos² θ = ?

A 1

B 0

C sin θ

D cos θ

7. What is the angle between the line of sight and the horizontal when looking up called?

A Angle of elevation

B Angle of depression

C Bearing

D Sector angle

8. Solve: |x + 2| = 6

A 4 only

B -8 only

C 4 and -8

D 8 and -4

9. What is the reciprocal of cos θ?

A sec θ

B cosec θ

C cot θ

D tan θ

10. Which equation has solution x = 2?

A √x = 4

B |x - 2| = 0

C √(x+2) = 3

D |x| = 4

11. Factorize: x² + 8x + 16

A (x + 4)²

B (x - 4)²

C (x + 4)(x - 4)

D (x + 2)(x + 8)

12. Simplify: (x² - 4)/(x - 2)

A x + 2

B x - 2

C x + 4

D x - 4

13. What is the back bearing of 135°?

A 315°

B 225°

C 045°

D 135°

14. Find the HCF of x² + x - 6 and x² + 4x + 3.

A x + 3

B x - 2

C x + 1

D x - 3

15. What is the sector angle of a circle if the arc length is 10 cm and the radius is 5 cm?

A 2 radians

B 0.5 radians

C 50 radians

D 15 radians

16. A ladder leans against a wall. The angle between the ladder and the ground is 60°. If the ladder is 10 m long, how high up the wall does it reach?

A 5√3 m

B 5 m

C 10√3 m

D 20 m

17. Find the LCM of x² - 4 and x² - 3x + 2.

A (x - 2)(x + 2)(x - 1)

B (x - 2)(x + 2)

C (x - 2)(x - 1)

D (x + 2)(x - 1)

18. Solve for x: √(x + 6) = 4

A 10

B 2

C 16

D 4

19. Factorize: 3x² + 11x + 6

A (3x + 2)(x + 3)

B (3x + 3)(x + 2)

C (x + 2)(3x + 3)

D (3x + 6)(x + 1)

20. Find the LCM of 6x²y and 8xy³.

A 24x²y³

B 48x²y³

C 2xy

D 24xy³

Mth – Quarter 2

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