Mathematics
Download Q&AQ. A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
Q. A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball? (2022)
Q. A box contains 10 balls, 4 of which are white. If one ball is drawn at random, what is the probability that it is not white? (2022)
Q. A box contains 3 red, 5 blue, and 2 green balls. If one ball is drawn at random, what is the probability that it is blue?
Q. A box contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball? (2021)
Q. A building is 40 m tall. From a point on the ground, the angle of elevation to the top of the building is 45 degrees. How far is the point from the base of the building? (2020)
Q. A chord of a circle is 8 cm long and is 3 cm away from the center. What is the radius of the circle? (2021)
Q. A circle has a circumference of 31.4 cm. What is its radius? (2021)
Q. A class of 30 students has an average score of 75. If one student scores 90, what will be the new average? (2022)
Q. A class of students scored the following marks: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the scores?
Q. A coin is tossed three times. What is the probability of getting at least one head?
Q. A data set has values: 10, 12, 14, 16. What is the variance? (2021)
Q. A group of students has an average score of 75. If one student with a score of 90 leaves, what will be the new average if the group size is 10?
Q. A jar contains 5 red, 3 blue, and 2 yellow marbles. If one marble is drawn, what is the probability that it is either red or yellow?
Q. A kite is flying at a height of 50 m. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite? (2021)
Q. A man is standing at a distance of 50 meters from a tower. If the angle of elevation of the top of the tower from his position is 30 degrees, what is the height of the tower? (2021)
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 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 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 20. If one number is removed, the mean becomes 18. What was the number removed? (2022)
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 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. What score must he achieve in the fourth subject to have an average of 85?
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 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. Calculate the area under the curve y = 2x + 1 from x = 1 to x = 4.
Q. Calculate the area under the curve y = x^3 from x = 0 to x = 2.
Q. Calculate the determinant of the matrix J = [[1, 2, 1], [0, 1, 0], [2, 3, 1]]. (2023)
Q. Calculate the distance between the points (1, 2) and (1, 5).
