MATHEMATICS
Ultimate Mathematics Challenge
Test your math skills with our Ultimate Mathematics Challenge! This quiz features 70 carefully crafted questions designed to engage your problem-solving abilities and enhance your understanding of essential mathematical concepts.
Whether you're preparing for a certification, studying for a test, or just looking to challenge yourself, this quiz offers:
- Varied question types including multiple choice and calculations
- Questions covering topics such as geometry, algebra, and physics
- Instant feedback on your answers
1. How many gallons of fuel will be contained in a rectangular-shaped tank which measures 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth? (7.5 gal =1 cu ft )
A. 66.6
B. 75
C. 45
2. What is the square root of 4 raised to the 5th power?
A. 32
B. 64
C. 20
3. Select the fractional equivalent for a 0.0625-inch- thick sheet of aluminum.
A. 1/16
B. 3/64
C. 1/32
4. Which if the figure is using scientific notation? 1. 3.47x 104 = 34, 700 2. 2(410) 2,097,152
A. 1
B. 2
C. Both 1 and 2
5. Which decimal is most nearly equal to a bend radius of 31/64?
A. 0.2065
B. 0.4844
C. 0.3164
6. What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?
A. 9:5
B. 1:0.56.
C. 1:1.8
7. The result of 7 raised to the third power plus the square root of 39 is equal to
A. 349.24
B. 34924
C. 34324
8. A blueprint shows a hole of 0.171787 to be drilled. Which fraction size drill bit is most nearly equal?
A. 11/64
B. 9/32
C. 11/32
9. Express 7/8 as a percent.
A. 8.75 percent
B. 875 percent
C. 87.5 percent
10. Which alternative answer is equal to 16,300?
A. 1.63x10 to the fourth power.
B. 1.63x10 to the negative third power
C. 163x10 to the negative second power.
3.78 inches and is 8.5 inches deep. With the piston on bottom center, the top of the piston measures 4.0 inches from the bottom of the cylinder. What is he approximate piston displacement of this engine?
A. 200 cubic inches
B. 360 cubic inches
C. 235 cubic inches
12. The total piston displacement of a specific engine is
A. Dependent on the compression ratio.
B. The volume displaced by all the pistons during one revolution of the crankshaft.
C. The total volume of all the cylinders.
Find the area of the triangle shown.
A. 12 square inches
B. 6 square inches
C. 15 square inches
14. Maximum life for a certain part is 1100 hours. Recently, 15 of these parts were removed from different aircraft with an average life of 835.3 hours. What percent of the maximum part life has been achieved?
A. 75.9 percent
B. 76.9 percent
C. 75.0 percent
15. Find the value of 10 raised to the negative sixth power.
A. 0.000001
B. 0.000010
C. 0.0001
16. What is the ratio of 10 feet to 30 inches?
A. 4:1
B. 1:3
C. 3:1
17. Solve the equation. -6[-9(-8+4)-2(7+3)] =
A. -332
B. 216
C. -96
18. Solve the equation
A. .0297.
B. .1680.
C. .0419.
19. Solve the equation. 4- 3[-6(2+3) + 4] =
A. 82
B. -25
C. -71
20. What size of sheet metal is required to fabricate a cylinder 20 inches long and 8 inches in diameter? (note C= pi x D)
A. 20 inches x25-5/32 inches.
B. 20 inches x24-9/64 inches.
C. 20 inches x25-9/64 inches.
21. 1.21875 is equal to
83/64
B. 19/16
C. 39/32
22. An engine develops 108 horse power at 87 percent power. What horsepower would be developed at 65 percent power?
A. 81
B. 70
C. 61
23. Select the fraction which is equal to 0.0250.
A. ¼
B. 1/40
C. 1/400
24. Find the square root of 1824
A. 42.708x10 to the negative second power
B. 32708
C. .42708x10 to the second power
25. Find the square root of 1746
A. 41.7852
B. 41.7752
C. 40.7742
26. The parts department’s profit is 12 percent on a new part. How much does the part cost if the selling rice is $145.60?
A. $128.13
B. $125.60
C. $130.00
27. Find the square root of 3,722.1835
61.00971
61.00
61.0097
28. A certain aircraft bolt has an overall length of 1-1/2 inches, with a shank length of 1-3/16 inches, and a threaded portio length of 5/8 inch. What s the grip length.
A. 5625 inch
B. 8750 inch
C. 3125 inch
29. Find the cube of 64
A. 4
B. 192
C. 262, 144
30. What is the surface area of a cube where a side (edge) measures 7.25 inches?
A. 381.078 cu. In.
B. 315.375 sq. in.
C. 52.5625 sq. in.
31. A rectangular shaped fuel tank measures 27-1/2 inches in length, ¾ foot in width, and 8-1/4 inches in depth. How (231 cu in = 1 gal)
A. 7.366
B. 8.83
C. 170.156
32. Solve the equation (√100 + √36 − √16=
12
60
76
Sixty-five engines are what percent of 80 engines?
A. 81 percent
B. 65 percent
C. 52 percent
34. Solve the equation
A. 174.85
B. 68.037
C. 14.002
35. Convert the binary number 1111 to decimal form.
A. 14
B. 15
C. 16
36. What is the ratio of a gasoline fuel load of 200 gallons to one of 1680 pounds?
A. 5:7
B. 2:3
C. 5:42
37. What is defined as a group of bits representing a complete piece of information?
A. Byte
B. Bit
C. Word
38. Solve the equation. (64x3/8) ÷ ¾ =
A. 18
B. 24
C. 32
39. What power of 10 is equal to 1,000,000,000?
A. 10 to the sixth power
B. 10 to the tenth power
C. 10 to the ninth power
40. If the volume of a cylinder with the piston at the bottom center is 84 cubic inches and the piston displacement is 70 cubic inches, then the compression ratio is
A. 7:1
B. 1:2:1
C. 6:1
41. An airplane flying a distance of 750 miles used 60 gallons of gasoline. How any gallons will it need to travel 2,500 miles?
A. 31,250
B. 9,375
C. 200
42. What is the piston displacement of a master cylinder with a 1.5 inch diameter bore and a piston stroke of 4 inches?
A. 9.427 cubic inches
B. 7.0686 cubic inches
C. 6.1541cubic inches
43. Find the square root of 124.924
A. 111.8x 10 to the third power
B. 1118x10 to the negative second power
C. 1,118x10 to the negative second power
44. Compute the area of trapezoid.
A. 24 square feet
B. 48 square feet
C. 10 square feet
45. A rectangular-shaped fuel tank measures 60 inches in length, 30 inches in width and 12 inches in depth. How many cubic feet are within the tank?
A. 12.5
B. 15.0
B. 15.0
46. What is the speed of a spur gear with 42 teeth drive by a pinion gear with 14 teeth turning 420 RPM?
A. 588 RPM
B. 160 RPM
C. 140 RPM
47. Which alternative answer is equal to 5.59?
(√𝟑𝟝) + (√𝟒𝟑) ÷ 𝟝𝟕𝟝
(√31 + √43) ÷ 172
( √31 + √43) − 172
48. The radius of a piece of round stock is 7/32. Select the decimal which is most nearly equal to the diameter.
0.2187
0.4375
0.3531
49. If an engine is turning 1,965 rpm at 65 percent power, what is its maximum rpm?
A. 2653
B. 3023
C. 3242
50. A pinion gear with 14 teeth is driving a spur gear with 42 teeth at 140 RPM. Determine the speed of the pinion gear.
A. 588 RPM
B. 420 RPM
C. 126 RPM
51. Determine the area of the triangle formed by points A, B and C. A to B=7.5 inches A to D= 16.8 inches
A. 42 square inches
B. 63 square inches
C. 126 square inches
52. How much current does a 30-volt, 1/2 horsepower motor that is 85 percent efficient draw from the bus? (note: 1 horsepower = 746 watts)
A. 14.6 amperes
B. 12.4 amperes
C. 14.3 amperes
53. Which of the following is the square root of (-1776)/ (-2)-632?
A. 128
B. 256
C. 16
54. What force is exerted on the piston in a hydraulic cylinder if the area of piston is 1.2 square inches and the fluid pressure is 850 PSI?
A. 1,020 pounds
B. 960 pounds
C. 850 pounds
55. A 6 cylinder engine with bore of 3.5 inches, a cylinder height of 7 inches and a stroke of 4.5 inches will have total piston displacement of
A. 256.88 cubic inches
B. 259.77 cubic inches
C. 43.3 cubic inches
56. Solve the equation.
a. +31.25
B. -5.20
C. -31.25
57. What is the squareroot of 16 raised to the fourth power?
A. 1,024
B. 4,096
256
58. The number 3.47x 10 to the negative fourth power is equal to
A. 00347
B. 34700
C. 000347
59. Solve the equation
A. 11.9
B. 11.7
C. 11.09
60. Select the decimal which is most nearly equal to 77/64
A. 0.08311
B. 0.8311
C. 1.2031
61. Solve the equation. (32x 3/8) ÷ 1/6 =
A. 12
B. 2
C. 72
62. Solve the equation. ½ (-30+34)5
A.10
B. 95
C. 160
63. Solve the equation. [4 x -3) +(-9x2)] ÷2=
A. -30
B. -15
C. -5
64. A rectangular shaped fuel tank measures 37-1/2 inches in length, 14 inches in width and 8-1/4 inches in depth. How many cubic inches are within the tank?
A. 59.75
B. 433.125
C. 4331.25
65. Compute the area of the trapezoid
A. 52.5 square feet
B. 60 square feet
C. 76.5 square feet
66. Express 5/8 as a percent
A. 625 percent
B. 6.25 percent
C. 62.5 percent
67. An engine of 98 horse power maximum Is running at 75 percent power. What is the horsepower being developed?
A. 87.00
B. 33.30
C. 73.50
68. Solve the equation. (-3+2) (-12 – 4)+(-4+6) x3
A. 20
B. 22
C. 28
69. Select the container size that will be equal in volume to 60 gallons on fuel. (7.5 gal = 1 cu ft)
A. 7.5 cubic ft
B. 8.0 cubic feet
C. 8.5 cubic feet
70. Solve the equation. -4+6+103 (√1296) =
A. 35,998
B. 36002
C. 62,208
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