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Worksheets

NatSci - Math

Total questions: 70

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Select the fraction which is equal to 0.0250.

a)

1/2

b)

1/40

c)

1/400

2.

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

3.

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

4.

Express 7/8 as a percent.

a)

8.75 percent

b)

875 percent

c)

87.5 percent

5.

Which alternative answer is equal to 16,300?

a)

1.63x10 to the fourth power

b)

1.63x10 to the negative third power

c)

1.63x10 to the negative second power

6.

A four-cylinder aircraft engine has a cylinder bore of 3.75 inches and is 5.5 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 the approximate piston displacement of this engine?

a)

200 cubic inches

b)

360 cubic inches

c)

235 cubic inches

7.

What is the ratio of 10 feet to 30 inches?

a)

4:1

b)

1:3

c)

3:1

8.

Solve the equation: 6[9(8+4)2(7+3)]-6[-9(-8+4)-2(7+3)]

a)

-332

b)

216

c)

-96

9.

Solve the equation: 31+43(17)2\frac{\sqrt{31}+\sqrt{43}}{(17)^2}

a)

0.0297

b)

0.1680

c)

0.0419

10.

Solve the equation: 43[6(2+3)+4]4-3[-6(2+3)+4]

a)

82

b)

-25

c)

-71

11.

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

12.

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

13.

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 x 25-5/32 inches

b)

20 inches x 24-9/64 inches

c)

20 inches x 25-9/64 inches

14.

Select the fractional equivalent for a 0.0625 inches thick sheet of aluminum.

a)

1/16

b)

3/64

c)

1/32

15.

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

16.

Which decimal is most nearly equal to a bend radius of 31/64?

a)

0.2065

b)

0.4844

c)

0.3164

17.

Find the square root of 1824

a)

42.708x10 to the negative second power

b)

32708

c)

0.42708x10 to the second power

18.

Find the square root of 1746

a)

41.7852

b)

41.7752

c)

40.7742

19.

Which of the figure is using scientific notation? 1. 3.47x1043.47x10^4 = 34,700 2. 2(4^10) = 2,097,152

a)

1

b)

2

c)

Both 1 and 2

20.

Find the square root of 3,722.1835

a)

61.00971

b)

61.00

c)

61.0097

21.

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 portion length of 5/8 inch. What is the grip length?

a)

0.5625 inch

b)

0.8750 inch

c)

0.3125 inch

22.

Find the cube of 64.

a)

4

b)

192

c)

262,144

23.

A rectangular shaped fuel tank measures 27-1/2 inches in length, 3/4 foot in width, and 8-1/4 inches in depth. How much gallons can fit in the tank? (231 cu in = 1 gal)

a)

7.366

b)

8.83

c)

170.156

24.

Solve the equation.

a)

12

b)

60

c)

76

25.

Sixty-five engines are what percent of 80 engines?

a)

81 percent

b)

65 percent

c)

52 percent

26.

Solve the equation: (35+25)(7)+π(16)225\frac{(-35+25)(-7)+\pi(16)^{-2}}{\sqrt{25}}

a)

174.85

b)

68.037

c)

14.002

27.

1.21875 is equal to

a)

83/64

b)

19/16

c)

39/32

28.

Find the value of 10 raised to the negative sixth power.

a)

0.000001

b)

0.000010

c)

0.0001

29.

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

30.

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

31.

What is the square root of 4 raised to the 5th power?

a)

32

b)

64

c)

20

32.

Convert the binary number 1111 to decimal form.

a)

14

b)

15

c)

16

33.

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

34.

The parts department’s profit is 12 percent on a new part. How much does the part cost if the selling price is $145.60?

a)

$128.13

b)

$125.60

c)

$130.00

35.

Solve the equation: (64×38)÷34(64\times\frac{3}{8}) \div \frac{3}{4}

a)

18

b)

24

c)

32

36.

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

37.

Compute the area of trapezoid.

a)

24 square feet

b)

48 square feet

c)

10 square feet

38.

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

39.

An airplane flying a distance of 750 miles used 60 gallons of gasoline. How many gallons will it need to travel 2,500 miles?

a)

31,250

b)

9,375

c)

200

40.

What is the piston displacement of a master cylinder with a 1.5 inches diameter bore and a piston stroke of 4 inches?

a)

9.427 cubic inches

b)

7.0686 cubic inches

c)

6.1541 cubic inches

41.

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

42.

Find the square root of 124.924

a)

111.8x10 to the third power

b)

111.8x10 to the negative second power

c)

1,118x10 to the negative second power

43.

Find the area of the triangle shown.

a)

12 square inches

b)

6 square inches

c)

15 square inches

44.

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.

45.

What is defined as a group of bits representing a complete piece of information?

a)

Byte

b)

Bit

c)

Word

46.

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

c)

21.0

47.

If an engine is turning 1,965 rpm at 65 percent power, what is its maximum rpm?

a)

2653

b)

3023

c)

3242

48.

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

49.

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

50.

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)

4331.25

b)

3975.00

c)

4725.00

51.

Which alternative answer is equal to 5.59?

a)

( 31\sqrt{31} + 43\sqrt{43} ) ÷ 17217^2

b)

i

c)

(31+43i172)( \sqrt{31} + \sqrt{43} i - 17^2 )

52.

Compute the area of the trapezoid. Top base is 9 feet, bottom base is 12 feet, and height is 5 feet.

a)

52.5 square feet

b)

60 square feet

c)

76.5 square feet

53.

The radius of a piece of round stick is 7/327/32 . Select the decimal which is most nearly equal to the diameter.

a)

0.2187

b)

0.4375

c)

0.3531

54.

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

55.

Select the container size that will be equal in volume to 60 gallons of fuel. (7.5 gal = 1 cu ft)

a)

7.5 cubic ft

b)

8.0 cubic feet

c)

8.5 cubic feet

56.

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

57.

Solve the equation.

a)

+31.25

b)

-5.20

c)

-31.25

58.

What is the square root of 16 raised to the fourth power?

a)

1,024

b)

4,096

c)

256

59.

The number 3.47×1043.47\times10^{-4} is equal to

a)

0.00347

b)

34,700

c)

0.000347

60.

Solve the equation.

a)

11.9

b)

11.7

c)

11.09

61.

Select the decimal which is most nearly equal to 77/6477/64 .

a)

0.08311

b)

0.8311

c)

1.2031

62.

Solve the equation. (32 × 3/8) ÷ 1/6 =

a)

12

b)

2

c)

72

63.

Solve the equation. 1/2(−30+34)5

a)

10

b)

95

c)

160

64.

Solve the equation. [(94 × −3) + (−9 × 2)] ÷ 2 =

a)

−30

b)

−150

c)

−5

65.

Express 5/85/8 as a percent

a)

625 percent

b)

6.25 percent

c)

62.5 percent

66.

Which of the following is the square root of (−1776) ÷ (−2) − 632?

a)

128

b)

256

c)

16

67.

Solve the equation. (−3+2)(−12 − 4) + (−4+6) × 3

a)

20

b)

22

c)

28

68.

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

69.

Solve the equation. −4 + 6 + 10310^3 (√1296) =

a)

35,998

b)

36,002

c)

62,208

70.

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