Total Questions : 20
Expected Time : 20 Minutes

1. If a cone has radius 6 units and height 8 units, what is its volume?

2. If a prism has base area 25 square units and height 8 units, what is its volume?

3. What is the solution to the differential equation: d^2y/dx^2 + 4y = 0?

4. Determine the limit as x approaches 2 for the function f(x) = (x^2 - 4)/(x - 2)

5. If a circle has circumference 20π units, what is its radius?

6. What is the value of 3 times the quantity (6 plus 2)?

7. What is the product of 6 multiplied by 9?

8. If a square has diagonal length 10 units, what is the side length of the square?

9. Find the cross product of vectors u = <3, -2, 1> and v = <2, 1, 4>

10. What is the value of 3 to the power of 4?

11. What transformation is applied to a figure when it is flipped over a line, creating a mirror image?

12. If a square has an area of 64 square units, what is its side length?

13. If a parallelogram has base 7 units and height 4 units, what is its area?

14. What is the value of 9 divided by 0.3?

15. What is the result of rotating a point (3, 5) 90 degrees counterclockwise about the origin?

16. If a cylinder has radius 5 units and height 8 units, what is its surface area?

17. What is the triple integral of the function f(x, y, z) = x + y + z over the region bounded by x = 0, y = 0, z = 0, and x + y + z = 1?

18. If a logarithmic spiral is given by the equation r = 2e^(θ/π), what type of spiral is it?

19. Evaluate the line integral: ∫(x^2 + y^2)ds along the curve C: x = t, y = t^2, 0 ≤ t ≤ 1

20. If a square has an area of 49 square units, what is its side length?