Total Questions : 50
Expected Time : 50 Minutes

1. What is the determinant of the matrix B = |3 1 2| |0 -2 4| |1 5 6|?

2. If a figure is reflected over the x-axis, what happens to the y-coordinates of its vertices?

3. What is the solution to the differential equation: dy/dx + 2y = 3e^(2x)?

4. What is the value of 3 times the quantity (5 minus 2)?

5. If a sphere has surface area 36π square units, what is its radius?

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

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

8. If a triangle has sides of length 7, 24, and 25 units, what type of triangle is it?

9. What is the area of a triangle with base 8 units and height 5 units?

10. What is the value of 2 raised to the power of 5?

11. What is the eigenvalue of the matrix A = |1 3| |2 4|?

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

13. If a triangle has sides of length 3, 4, and 5 units, what type of triangle is it?

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

15. What is the value of π (pi) to two decimal places?

16. If a rectangle has length 12 units and width 8 units, what is its area?

17. What is the sum of the angles in a hexagon?

18. If a rectangle has length 6 units and width 4 units, what is its area?

19. If a number is divisible by 2 and 3, what other number is it also divisible by?

20. What is the perimeter of a square with side length 9 units?

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

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

23. If a hyperbola is given by the equation (x^2/16) - (y^2/9) = 1, what are the coordinates of the foci?

24. If a cone has radius 9 units and height 12 units, what is its volume?

25. Solve the system of equations: 3x + 2y = 8 and 2x - y = 3

26. What is the value of 7 factorial (7!)?

27. Solve the equation: 2x - 5 = 11

28. If a number is increased by 20% of itself, what is the total percentage increase?

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

30. If a rectangle has length 10 units and width 3 units, what is its perimeter?

31. Determine the Laplace transform of the function f(t) = sin(2t)

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

33. What is the value of 5 to the power of 3?

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

35. What is the value of 2 times the quantity (7 minus 3)?

36. If a triangle is translated 5 units to the right and 3 units down, how do the coordinates of its vertices change?

37. What is the value of 2 times the quantity (4 plus 3)?

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

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

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

41. If x = 3, what is the value of 2x?

42. What is the value of π (pi) to three decimal places?

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

44. What is the square root of 16?

45. If a triangle has angles measuring 40°, 70°, and 70°, what type of triangle is it?

46. What is the next number in the sequence: 3, 6, 9, 12, ...?

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

48. If a rectangle has length 15 units and width 5 units, what is its perimeter?

49. If a pyramid has a square base with side length 10 units and height 12 units, what is its volume?

50. If a tetrahedron has edge lengths of 6 units each, what is its volume?