MATH9 - Math Class 9 - QUIZ

Questions

1. 1What is the volume of the largest cone that can be placed inside a cube with a side length of 3 cm?
2. 2A line passes through the points (-1, -3) and (1, 1). Calculate the x-intercept of this line.
3. 3In a bag containing 4 red, 3 blue, and 7 green balls, two balls are drawn. What is the probability that one is green and the other is blue?
4. 4Calculate the average of all possible five-digit numbers that can be formed using the digits 8, 4, 1, 9, and 2 exactly once.
5. 5Two circles with radii 5 cm and 4 cm intersect at two points. If the distance between their centers is 3 cm, what is the length of the common chord?
6. 6If f(x) = x + 4, g(x) = 3x, and h(x) = 4/x, find the value of f⁻¹(g(h(2))).
7. 7Select the two circular sectors that can be joined together to form exactly a semi-circle.