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FCTC MATH FORMULAS EXAM QUESTIONS

Exam (elaborations) Jan 9, 2026
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FCTC MATH FORMULAS EXAM QUESTIONS

Actual Qs and Ans Expert-Verified Explanation

This Exam contains:

-Guarantee passing score -19 Questions and Answers -format set of multiple-choice -Expert-Verified Explanation

Question 1: how to find the percentage of a number

Answer:

number x percentage (full) then divide by 100

Question 2: square footage of a rectangle or square

Answer:

Length X Width = Square foot

Question 3: percentage increase/decrease

Answer:

calculate the change then divide by the original

Question 4: area of a triangle

Answer:

1/2 base x height

Question 5: what is 75 20% of formula

Answer:

75 = .2x

Question 6: how many pints in a gallon

Answer:

  • gallon = 8 pints

Question 7: for pulleys, how to calculate effort

Answer:

effort = load force/ mechanical advantage

Question 8: how much effort to roll something up a hill formula

Answer:

resistance x height = force x length

Question 9: volume of a cylinder

Answer:

V=3.14 x Radius (Squared) x Height

Question 10: volume of cube

Answer:

V=Length x Width X Height

Question 11: mechanical advantage

Answer:

load/effort

Question 12: circumference of a circle

Answer:

2?r

Question 13: head pressure formula

Answer:

  • vertical foot = 0.433 pounds per square inch
  • psi = 2.31 vertical feet

example:

Basic calculations: measure the height of the water above the desire measuring point in inches or feet.Divide the depth in inches by 27.71 inches/psi, or the depth in feet by 2.31 feet/psi which are the English unit conversion factors. The result is the water head pressure expressed in psi. Use the calculation to solve a practical problem. An example would be a 150 feet measured water height in a municipal water tower. You would divide 150 feet by 2.31 to obtain the value of static pressure at ground level of about 65psi.

Question 14: sum of a triangle degrees

Answer:

180 Question 15: when you see PSI in a closed system, is it the same throughout or different

Answer:

same exact throughout

Question 16: square footage of a circle

Answer:

3.14 x Radius (Squared)= Square foot

Question 17: pemdas

Answer:

Parenthesis;Exponents;Multiplication or Division from left to right; Addition or Subtraction from left to right

Question 18: Volume of a pyramid

Answer:

1/3 b x w x h

Question 19: volume of a sphere

Answer:

4/3?r³

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