- 1. Factorize x² + 9x + 20
A) (x + 3)(x + 4)
B) (x + 4)(x + 5)
C) (x + 1)(x + 20)
D) (x + 2)(x + 10)
- 2. Factorize 2x² + 5x + 2
A) (2x + 1)(x + 2)
B) (2x + 1)(x - 2)
C) (2x - 1)(x + 2)
D) (2x + 2)(x + 1)
A) (2x + 1)(2x + 1)
B) (2x - 1)²
C) (2x - 1)(2x + 1)
D) (x - 1)(4x - 1)
- 4. Factorize 5x² + 6x + 1
A) (5x + 5)(x + 2)
B) (5x - 1)(x + 1)
C) (5x + 1)(x + 1)
D) (5x + 2)(x + 1)
A) x=2,y=3
B) x=3, y=2
C) x=1,y=4
D) x=2, y=1
A) x=2,y=4
B) x=3,y=3
C) x=-3,y=3
D) x=4,y=1
A) x=1, y=4
B) x=-3, y=2
C) x=3,y=2
D) x=2,y=3
A) x=3,y=2
B) x=2,y=3
C) x=1,y=4
D) x=4,y=1
- 9. A ladder leans against a wall making an angle of elevation of 30⁰ with the ground. If the ladder is 10 m long, find the height it reaches on the wall.
A) 10m
B) 6m
C) 5m
D) 8m
- 10. A man stands 10 m away from a tree. The angle of elevation of the top of the tree is 45⁰. Find the height of the tree.
A) 8m
B) 12m
C) 10m
D) 5m
- 11. A building subtends an angle of elevation of 30⁰ from a point 20 m away. Find the height of the building
A) 15m
B) 10m
C) 20m
D) 11.5m
- 12. From a point on the ground, the angle of elevation of the top of a pole is 60⁰. If the distance from the point to the base is 5 m, find the height of the pole.
A) 10m
B) 6m
C) 5m
D) 8.7m
- 13. A tower is observed at an angle of elevation of 45⁰ from a point 15 m away. Find the height of the tower.
A) 10m
B) 8m
C) 12m
D) 15m
- 14. Find the hypotenuse of a right-angled triangle with sides 3 cm and 4 cm.
A) 4cm
B) 3cm
C) 7cm
D) 5cm
- 15. Find the missing side of a right-angled triangle with hypotenuse 13 cm and one side 5 cm.
A) 10cm
B) 9cm
C) 12cm
D) 11cm
- 16. A ladder is 10 m long and reaches a wall at a height of 8 m. How far is the foot of the ladder from the wall?
A) 5m
B) 3m
C) 6m
D) 4m
- 17. Find the hypotenuse of a right-angled triangle with base 6 cm and height 8 cm.
A) 14cm
B) 12cm
C) 10cm
D) 9cm
- 18. A rectangular field has length 9 m and width 12 m. Find the diagonal.
A) 14m
B) 13m
C) 16m
D) 15m
- 19. Find the value of sin 30⁰
A) 3/2
B) 1/2
C) 1
D) 0
- 20. Find the value of cos 60⁰
A) 1/2
B) None
C) 1
D) 0
- 21. Find the value of tan 45⁰
A) 3/2
B) 1/2
C) 0
D) 1
- 22. If sinθ=3/5, find cos θ
A) 4/5
B) 2/5
C) 5/3
D) 3/4
- 23. Find the value of sin 90⁰
A) 3/2
B) 0
C) 1
D) 1/2
- 24. Find the value of cos 0⁰
A) 1/2
B) 0
C) 1
D) 3/2
A) x=3
B) x=0,9
C) x=3,-3
D) x=-3
A) x=-5,-2
B) x=5,2
C) x=-1,10
D) x=1,10
A) x=-3,1/2
B) x=3,1/2
C) x=-3,-1/2
D) x=1,3
- 28. To bisect a given angle, which tool is primarily used?
A) Compass
B) Ruler
C) Pencil
D) Protractor
- 29. Which of these can be used to measure an angle?
A) Compass
B) Protractor
C) Ruler
D) Set square
- 30. To draw the bisector of an angle, which of these is necessary?
A) Compass and Ruler
B) Compass only
C) Set square only
D) Protractor only
- 31. To draw a triangle given three sides (SSS), what is the first step?
A) Draw any side randomly
B) Draw the median first
C) Draw the smallest side first
D) Draw the largest side first
- 32. From the top of a 20 m tall building, the angle of depression of a car on the road is 30⁰. How far is the car from the base of the building?
A) 34.6m
B) 10m
C) 20m
D) 15m
- 33. From the top of a tower 40 m high, the angle of depression of a man standing on the ground is 30⁰. How far is the man from the base of the tower?
A) 20m
B) 40m
C) 60m
D) 69.3m
- 34. A lighthouse 25 m high observes a ship at an angle of depression of 45⁰. Find the distance of the ship from the lighthouse.
A) 20m
B) 25m
C) 30m
D) 15m
- 35. The hypotenuse of a right-angled triangle is 15 m, and one side is 9 m. Find the other side.
A) 10m
B) 8m.
C) 9m
D) 12m
- 36. A rectangular field has length 8 m and width 15 m. Find the diagonal.
A) 20m
B) 17m
C) 16m
D) 18m
- 37. A triangle has sides 5 cm and 12 cm. Find the hypotenuse.
A) 12cm
B) 13cm
C) 7cm
D) 17cm
- 38. Trigonometry is the branch of mathematics that deals with:
A) Circles and Arcs
B) Angles and sides of triangles
C) Probability
D) Algebraic expression
- 39. The primary trigonometric ratios are:
A) Addition, Subtraction, Multiplication
B) Mean, Median, Mode
C) Radius, Diameter, Circumference
D) Sine, Cosine, Tangent
- 40. The angle formed between the horizontal and the line of sight when looking upwards is called:
A) Reflex angle
B) Right angle
C) Angle of elevation
D) Angle of depression
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