Mathematics
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Q. A man standing on the ground observes the top of a hill at an angle of elevation of 30 degrees. If he is 100 m away from the base of the hill, what is the height of the hill? (2022)
Q. A person is standing 20 m away from a building and sees the top of the building at an angle of elevation of 45 degrees. What is the height of the building? (2019)
Q. A person is standing 20 meters away from a vertical pole. If the angle of elevation to the top of the pole is 60 degrees, what is the height of the pole? (2022)
Q. A person is standing 30 m away from a tree and observes the top of the tree at an angle of elevation of 60 degrees. What is the height of the tree? (2022)
Q. A person is standing 30 meters away from a building. If the angle of elevation to the top of the building is 60 degrees, what is the height of the building? (2022)
Q. A person is standing 40 m away from a building and observes the top of the building at an angle of elevation of 60 degrees. What is the height of the building? (2023)
Q. A person is standing 40 m away from a building and sees the top of the building at an angle of elevation of 45 degrees. What is the height of the building? (2020)
Q. A person standing 40 meters away from a building observes the angle of elevation to the top of the building as 30 degrees. What is the height of the building? (2022)
Q. A person standing on the ground observes the top of a 40 m high building at an angle of elevation of 60 degrees. How far is he from the building? (2023)
Q. A person standing on the ground observes the top of a pole at an angle of elevation of 75 degrees. If the pole is 10 m high, how far is the person from the base of the pole? (2023)
Q. A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter? (2021)
Q. A set of numbers has a mean of 15. If one number is removed, the new mean becomes 12. What was the removed number? (2022)
Q. A set of numbers has a mean of 20. If one number is removed, the mean becomes 18. What was the number removed? (2022)
Q. A set of numbers has a variance of 36. What is the standard deviation? (2019)
Q. A set of numbers has the following frequencies: 10 (1), 20 (2), 30 (3), 40 (4). What is the mode of this set? (2021)
Q. A set of numbers is given as follows: 1, 1, 2, 3, 3, 4, 4, 4, 5. What is the mode?
Q. A student scored 70, 80, and 90 in three exams. What score is needed in the fourth exam to achieve a mean of 85?
Q. A student scored 80, 85, 90, and 95 in four subjects. What score does he need in the fifth subject to achieve an average of 90?
Q. A student scores 70, 80, and 90 in three subjects. What is the average score?
Q. A student scores 80, 85, 90, and 95 in four exams. What score does he need in the fifth exam to achieve an average of 90?
Q. A student scores 80, 85, 90, and 95 in four subjects. What is the average score? (2019)
Q. A student scores 80, 85, and 90 in three subjects. If he wants an average of 85, what score does he need in the fourth subject?
Q. A student scores 80, 85, and 90 in three subjects. What score must he achieve in the fourth subject to have an average of 85?
Q. A student scores 80, 90, and 70 in three subjects. If he wants to achieve an average of 85 after scoring in a fourth subject, what score does he need?
Q. A survey of favorite fruits among 20 people resulted in the following counts: Apple (6), Banana (8), Orange (4), Grape (2). What is the mode of the favorite fruits? (2023)
Q. A survey of favorite fruits yielded the following results: Apple, Banana, Apple, Orange, Banana, Apple. What is the mode?
Q. A survey of the number of books read by students resulted in the following data: 1, 2, 2, 3, 3, 3, 4, 5. What is the mode?
Q. A tower is 120 meters high. From a point on the ground, the angle of elevation to the top of the tower is 45 degrees. How far is the point from the base of the tower? (2020)
Q. A tower is 60 m high. From a point on the ground, the angle of elevation to the top of the tower is 60 degrees. How far is the point from the base of the tower? (2023)
Q. A transversal intersects two lines such that one of the interior angles is 120 degrees. What is the measure of the exterior angle at that intersection?
