A) 11/8
B) 1/2
C) 7/8
D) 5/8
- 2. A man spent 2/5 of his salary on food and 3/10 on transport. What fraction of his salary did he spend altogether?
A) 7/10
B) 1/2
C) 3/5
D) 4/5
- 3. A tank is 3/4 full of water. If 1/3 of the water is used, what fraction of the tank remains full?
A) 1/2
B) 1/3
C) 1/4
D) 2/3
- 4. If 5/6 of a number is 50, find the number.
A) 60
B) 45
C) 55
D) 40
- 5. A tank contains 120 litres of water. 2/5 of it is used. How much water is left?
A) 72l
B) 50l
C) 80l
D) 60l
- 6. A shopkeeper sold 2/5 of his goods in the morning and 3/10 in the afternoon. What fraction of the goods were sold in total?
A) 6/10
B) 4/5
C) 2/5
D) 7/10
- 7. Lines running parallel to the equator are called:
A) Longitude
B) Parallels
C) Meridian
D) Tropics
- 8. Lines running from the North Pole to the South Pole are called:
A) Meridians
B) Equators
C) Tropics
D) Parallels
- 9. A place at 40° N, 75° W is located:
A) North of the equator and east of the Prime Meridian
B) North of the equator and west of the Prime Meridian
C) . South of the equator and east of the Prime Meridian
D) South of the equator and west of the Prime Meridian
- 10. The angle of elevation to the top of a building from a point 20 m away is 45⁰. Find the height of the building
A) 15m
B) 25m
C) 20m
D) 10m
- 11. A ladder leans against a wall making an angle of 60⁰ with the ground. If the foot of the ladder is 5 m from the wall, find the height it reaches on the wall.
A) 9m
B) 8.7m
C) 5m
D) 10m
- 12. A tower 30 m high is observed from a point on the ground. The angle of elevation of the top is 45⁰. Find the distance from the point to the base of the tower.
A) 30m
B) 20m
C) 15m
D) 10m
- 13. A man stands 15 m away from a tree. The angle of elevation to the top of the tree is 60⁰. Find the height of the tree.
A) 27m
B) 25.98m
C) 28m
D) 25m
- 14. From a point 10 m from a wall, the angle of elevation to the top is 45⁰. Find the height of the wall.
A) 15m
B) 10m
C) 20m
D) 12m
- 15. A man is standing 18 m from a building. The angle of elevation to the top is 60⁰. Find the height of the building.
A) 18m
B) 35m
C) 16m
D) 31.2m
- 16. From a point on the ground, the angle of elevation of the top of a cliff is 30⁰. If the cliff is 50 m high, find the horizontal distance to the cliff.
A) 86.6m
B) 78m
C) 70m
D) 88m
- 17. A container is 5/6 full of water. 1/3 of the water is used. What fraction of the container is left full?
A) 5/18
B) 10/18
C) 5/9
D) 2/3
- 18. Find the median of the data: 5, 3, 8, 2, 7
A) 7
B) 6
C) 5
D) 4
- 19. Find the mean of the data: 4, 6, 8, 10, 12
A) 7
B) 6
C) 8
D) 10
- 20. Find the mean deviation from the mean for: 2, 4, 6
A) 3
B) 4
C) 6
D) 4/3
- 21. The standard deviation of the data 5, 5, 5, 5 is:
A) 5
B) 10
C) 0
D) 1
- 22. Find the mean deviation from median of 1, 3, 5, 7
A) 1.5
B) 2.5
C) 7
D) 5
- 23. Find the median of 20, 15, 30, 25, 10
A) 10
B) 15
C) 25
D) 20
- 24. Compute the variance of 2, 4, 6, 8, 10.
A) 10
B) 6
C) 8
D) 12
- 25. A dataset is: 3, 5, 7, 9, 11. Find the standard deviation.
A) 2.87
B) 2.83
C) 3
D) 3.83
- 26. If the mean of 5 numbers is 12, find the sum of the numbers.
A) 65
B) 60
C) 50
D) 55
- 27. If the standard deviation of 5 numbers is 4, the variance is:
A) 16
B) 4
C) 2
D) 8
- 28. For the data 5, 10, 15, 20, 25, find the mean deviation from mean.
A) 6
B) 5
C) 7
D) 4
- 29. The weekly sales of a shop for 5 weeks are: 50, 60, 70, 80, 90. What is the 3-week moving average for week 3?
A) 60
B) 80
C) 50
D) 70
- 30. The monthly sales of a company are 100, 120, 140, 160, 180. What is the 3-month moving average for month 5?
A) 160
B) 140
C) 150
D) 120
- 31. A company recorded daily production: 10, 12, 14, 16, 18, 20. Find the 3-day moving average for day 4.
A) 18
B) 16
C) 14
D) 12
- 32. In constructing a perpendicular bisector of a line segment AB, which of the following is not required?
A) Pencil
B) Protractor
C) Ruler
D) Compass
- 33. To construct an angle of 75° without a protractor, one can:
A) Add a 30° and a 45° angle using constructions
B) Bisect a 90° angle and add 30°
C) Draw a perpendicular and measure 75° with a compass
D) Draw a circle and divide into 75 equal parts
- 34. When constructing the bisector of an angle, the first step is:
A) Draw a perpendicular line from the vertex
B) None
C) Draw an arc cutting both sides of the angle
D) Measure the angle with a protractor
- 35. Which of the following is the correct method to construct a 105° angle using only a compass and ruler?
A) Construct 60° and 45°, then add them
B) Construct 90° and 15° separately, then add them
C) Construct 90° and subtract 15°
D) Construct 120° and subtract 15°
- 36. To construct a 120° angle, the first step is:
A) Draw a 90° angle
B) Draw a 60° angle
C) Draw an arc of radius equal to the base
D) Draw a perpendicular
- 37. Which combination of angles can be used to construct 135°?
A) 70⁰ + 65⁰
B) 90° + 45°
C) 120⁰ + 15⁰
D) 60° + 75°
- 38. Which of the following statements is correct?
A) 135° = 90° + 45°
B) 120° = 2 × 60°
C) All of the above
D) 105° = 60° + 45°
- 39. A plane flies from a point X(15°S, 10°W) to Y(15°S, 50°E) along the parallel of latitude. If the Earth’s radius is 6400 km, what is the approximate distance covered by the plane along the parallel?
A) 10400km
B) 9250km
C) 8000m
D) 9600km
- 40. Two cities, A and B, are on the same longitude. City A is at 30°N and city B is at 20°S. What is the approximate distance between them along the meridian? (Take radius of Earth = 6400 km)
A) 6700km
B) 5500km
C) 5800km
D) 6100km
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