- 1. What is the formula for the curved surface area of a cone?
A) πrl
B) πrh
C) πrlh
D) πr²
- 2. Which of the following is the formula for the Volume of a Cylinder?
A) πrl²
B) πrh
C) πr²h
D) πr²l
- 3. How many litres does a Cylindrical can 14cm in diameter and 20cm high contain? Use the value 22/7 for π
A) 0.308l
B) 30.8l
C) 3080l
D) 3.08l
- 4. If 12x= x + 55, find x
A) 10
B) 5
C) -5
D) -1
- 5. A number m is multiplied by 6 and then 4 is added. Which of these expressions is the correct interpretation?
A) 6m + 4
B) 6m - 4
C) 24m
D) None
- 6. What are the coordinates of the point where the x-axis and y-axis intersect?
A) (-1, 0)
B) (0, 1)
C) (1, 0)
D) (0, 0)
- 7. Give the acute angle bearing of A from B in the figure below
A) N302⁰E
B) N42⁰E
C) None of the above
D) N58⁰E
- 8. What is the acute angle bearing of A from B
A) S30⁰W
B) N30⁰W
C) S60⁰W
D) N30⁰S
- 9. The angle between N and NE is
A) 30⁰
B) 90⁰
C) 135⁰
D) 45⁰
- 10. What is the angle between NE and SW
A) 90⁰
B) 180⁰
C) 120⁰
D) 240⁰
- 11. What is the angle between SW and W
A) 30⁰
B) 90⁰
C) 75⁰
D) 45⁰
- 12. If the diameter of a cylinder is 15cm, what is its radius?
A) 7.5cm
B) 30cm
C) 225cm
D) 7cm
- 13. What is the formula for the Volume of a cone?
A) 1/3πrl²
B) 1/3πr²h
C) 1/3πr²
D) 1/3πrl
- 14. Calculate the curved surface area of a Cylindrical container with Radius 30cm and Height 36cm
A) 67.824cm²
B) 6782.4cm²
C) 0.67824cm²
D) 6.7824cm²
- 15. Calculate the curved surface area of a Cylindrical container with Radius 60cm and Height 50cm
A) 1884.0cm²
B) 18.840cm²
C) 18840cm²
D) 188.40cm²
- 16. If 99 litres of oil are poured into a Cylindrical drum 60cm in diameter, how deep is the oil in the drum?
A) 35cm³
B) 3.5cm³
C) 3500cm³
D) 350cm³
- 17. Use the Value 22/7 for π to calculate the volume of cone with these dimensions. Height 21cm, base diameter 10cm
A) 5500cm³
B) 550cm³
C) 55000cm³
D) 55cm³
- 18. What are the coordinates of the point A in the figure above?
A) A(-1, -2)
B) A(-1, 1)
C) A(0, 1)
D) A(1, 1)
- 19. What are the coordinates of the point G in the figure above?
A) (-3, -1)
B) (-1, -3)
C) (1, -3)
D) (-2, -4)
- 20. What are the coordinates of the points J in the figure below
A) (-3,-2)
B) (3, 2)
C) (-3,2)
D) None
- 21. A Trader buys a kettle for #2400 and sells it at a profit of 15%. Find his actual profit and the selling price.
A) #360
B) #3360
C) #2400
D) #2760
- 22. When x=2, and y=3, find the value of: xy - 5y
A) 12
B) -8
C) -9
D) 9
- 23. If L² = 5² + 12², find L.
A) 11
B) 13
C) 169
D) 12
- 24. A Mound of beans is roughly in the shape of a cone of height 20cm and base diameter 60cm, use the value of π to find the approximate volume of beans.
A) 18000cm³
B) 1800cm³
C) 18cm³
D) 180cm³
- 25. A boy stands 10m away from a tree. The angle of elevation to the top of a tree is 45⁰. Find the height of the tree.
A) 1.0m
B) 100m
C) 1000cm
D) 10m
- 26. What is the Hypotenuse side of an angle
A) The longest side of the right angled triangle
B) The side next to the angle
C) The side opposite the angle
D) None of the above
- 27. A bird sits on top of a tower 15m high. A girl standing on the ground sees the bird at an angle of elevation of 60⁰, find how far the girl is from the tower
A) 18m
B) 0.5773
C) 26m
D) 28m
- 28. A man standing on top of a 30m building observes a car on the ground at an angle of depression of 45⁰. Find the distance of the car from the foot of the building
A) 15m
B) 30m
C) 3.0m
D) 300m
- 29. If you face east and turn through an angle of 90⁰ to your left, you will face
A) North East
B) South
C) North
D) South West
- 30. Rice is sold in cups. A good cupful of rice has a cone shaped mound of rice on top. Use the value 3 for π to find the approximate volume of rice in the cup
A) 9.0cm³
B) 900cm³
C) None
D) 90cm³
- 31. In an equilateral triangle, each angle is
A) 60⁰
B) 120⁰
C) 90⁰
D) 30⁰
- 32. The sum of angles in a triangle is
A) 360⁰
B) 120⁰
C) 90⁰
D) 180⁰
- 33. 6x + 1= 26 - 2x find x
A) 21/8
B) 25/8
C) 23/8
D) 26/8
- 34. The sum of seven of the angles of a nonagon is 1000⁰. The other two angles are equal to each other. Calculate the size of the other two angles.
A) 210⁰
B) 130⁰
C) 120⁰
D) 180⁰
- 35. I subtract 3 from a certain number, multiply the results by 5 and then add 9. If the final result is 54, find the original number.
A) 9
B) 10
C) 11
D) 12
- 36. The angle between the North and the South West is
A) 245⁰
B) 240⁰
C) 270⁰
D) 225⁰
- 37. A sector of a circle of radius 10cm and angle 216⁰ is bent to form a cone. Find: The radius of the base of the cone
A) None
B) 60cm
C) 6cm
D) 0.6cm
- 38. A sector of a circle of radius 10cm and angle 216⁰ is bent to form a cone. Find: The curved surface area of the cone
A) 1.888cm³
B) 18.88cm³
C) 1888cm3
D) 188.8cm³
- 39. Calculate the curved surface area of a Cylindrical container with a diameter 10cm and length 18cm
A) 56.52cm²
B) 565.2cm²
C) 5652cm²
D) 5652cm²
- 40. Which of the sides is the side next to the angle?
A) None of the above
B) Hypotenuse
C) Adjacent
D) Opposite
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