NOCTI - National Occupational Competency Testing Institute Applied Technical Mathematics Questions and Answers

Question 1

A machinist needs to drill a bolt circle with 8 equally spaced holes on a circular plate with a diameter of 10 inches.
What is the straight-line distance, to the nearest thousandth of an inch, between the centers of two adjacent holes?

Accepted Answer

3.827 inches

Answer

4.821 inches

Answer

3.927 inches

Answer

5.000 inches

Question 2

A DC circuit has a total resistance of 45 ohms and draws a current of 0.25 amps. According to Ohm's Law (V = IR), what is the voltage of the circuit?

Accepted Answer

11.25 V

Answer

180 V

Answer

45.25 V

Answer

0.005 V

Question 3

A construction plan is drawn to a scale of 1/4 inch = 1 foot. A wall on the blueprint measures 3 1/2 inches long. What is the actual length of the wall?

Accepted Answer

14 feet

Answer

7 feet

Answer

12 feet

Answer

8.75 feet

Question 4

Which of the following equations correctly represents the Pythagorean theorem, used to find the length of the sides of a right triangle?

Accepted Answer

a² + b² = c²

Answer

a² - b² = c²

Answer

a + b = c

Answer

a² * b² = c²

Question 5

A cylindrical tank has a radius of 3 feet and a height of 8 feet. What is the volume of the tank in cubic feet? (Use V = πr²h and π ≈ 3.14)

Accepted Answer

226.08 cu ft

Answer

75.36 cu ft

Answer

150.72 cu ft

Answer

24.00 cu ft

Question 6

A steel rod needs to be cut into pieces that are 5 1/8 inches long. If the rod is 48 inches long, how many full pieces can be cut from it, ignoring any material lost from the cuts (kerf)?

Accepted Answer

9

Answer

8

Answer

10

Answer

11

A machinist needs to drill a bolt circle with 8 equally spaced holes on a circular plate with a diameter of 10 inches.What is the straight-line distance, to the nearest thousandth of an inch, between the centers of two adjacent holes?

A machinist needs to drill a bolt circle with 8 equally spaced holes on a circular plate with a diameter of 10 inches.
What is the straight-line distance, to the nearest thousandth of an inch, between the centers of two adjacent holes?