High School Number Sense #1
  • 1. When the timer hits 10 minutes, enter the number of the last problem you attempted.
  • 2. 124 * 25 =
  • 3. 412 =
  • 4. 1565 + 545 + 30 =
  • 5. The remainder when 7850 / 6 =
  • 6. MMCDXL = (Arabic numeral)
  • 7. (1 / 16) - (1 / 48) = (Lowest fraction)
  • 8. 68 * 34 + 25 * 34 + 57 * 34 =
  • 9. (14/25) / (0.07) =
  • 10. 2 - {2 * 3 - [3 * 4 - (4 * 5 - 5 * 6)]} =
  • 11. Approximate 15,324 + 1,532 + 153 + 15 + 1 to the nearest thousand.
  • 12. (12 2/3) / (3 1/6) =
  • 13. 40% less than 125 is =
  • 14. Find the LCM of 75 and 120.
  • 15. 126 inches is how many yards?
  • 16. How many numbers less than 72 are relatively prime to it?
  • 17. Which is smaller, (-11/25) or (-0.45)?
A) -11/25
B) -0.45
  • 18. The mean of 126, 124, 122 and 128 is.
  • 19. 67 1/2 % = (Proper fraction)
  • 20. 43 * 54
  • 21. Approximate 792 x 311 to the nearest ten thousand.
A) 250000
B) 230000
C) 260000
D) 280000
  • 22. 153
  • 23. Find the sum of the positive integral divisors of 48.
  • 24. If 3x + 4 = 13, then 7x - 8 =
  • 25. 0.675555... = (lowest fraction)
  • 26. If 46t841 is divisible by 11, what is the value of t?
  • 27. If 16 flowers cost $2.50, then how much will 24 such flowers cost? $______.
  • 28. If A = {Perfect squares} and B = {Natural numbers between 1 and 100}, then how many elements are there in A intersection B?
  • 29. 122 + 362
  • 30. If A is 40% of B and B is 70% of C, then A is what percent of C? __%
  • 31. Approximate 306 * 804 to the nearest thousand.
  • 32. 8970 * 1001
  • 33. (6! * 5!) / (4! * 3!)
  • 34. 16 * 14443 = (Hint: 14443 = 13 * 101 * 11)
  • 35. 86 base 10 = ____ base 8
  • 36. The length to width ratio of a rectangular table top is 3:1. If its area is 432 square units, find its perimeter. ___ units
  • 37. The smallest perfect number is ___.
  • 38. 1 + 3 + 5 + ...... + 91 =
  • 39. If f(x) = 3x3 - 4x2 + 2x - 6, then f(-1) =
  • 40. sqrt(48) + sqrt(108) = sqrt(m). Find m.
  • 41. Approximate sqrt(59885) to the nearest ten.
A) 260
B) 230
C) 270
D) 250
  • 42. If x - y = 10 and xy = 24, then x2 + y2 = ____.
  • 43. If (5 + 2i)2 = a + ib, then b =
  • 44. The distance between the points (3, 1) and (-1, 4) is ____.
  • 45. 6 pints = ____ tablespoons
  • 46. 20 degrees Celsius = ____ degrees Fahrenheit.
  • 47. 201 base 5 + 24 base 5 = ____ base 5.
  • 48. The number of diagonals of a regular decagon is ____.
  • 49. (12 + 22 + 32 + 42)3 =
  • 50. If the hypotenuse and one side of a right triangle are 17 cm and 8 cm, respectively, then the area of the triangle is ____ square cm.
  • 51. Approximate 124 / (1/125) + 1252 to the nearest thousands
A) 27000
B) 31000
C) 33000
D) 16000
E) 29000
  • 52. Find the slope of the line passing through the points (4,2) and (2,3). (Fraction)
  • 53. The geometric mean of 4, 8, and 16 is ____.
  • 54. (Degrees) sin(43)cos(47) + sin(47)cos(43) =
  • 55. If log5(sqrt(625)) = p, then p =
  • 56. 7P3
  • 57. 13 + 23 + 33 + ... + 103
  • 58. 10.8 / 675
  • 59. Coefficient of y2 in the expansion of (y - 3)4 is ____.
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