Intro to Construction Math Mod 2
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Questions and Answers

Convert 0.75 meters to centimeters.

  • 100.0 cm
  • 50.0 cm
  • 75.0 cm (correct)
  • 80.0 cm
  • Percentage means?

  • Always a fraction
  • Part of a whole
  • Out of 100 (correct)
  • Decimal value
  • Convert 0.86 into a fraction. Reduce to lowest terms.

  • 21/25
  • 24/25
  • 43/50 (correct)
  • 86/100
  • The metric ruler is divided into?

    <p>Millimeters and Decimeters</p> Signup and view all the answers

    A room measures 12 feet by 16 feet long. What is the square footage of this room?

    <p>192</p> Signup and view all the answers

    You have 5,814 feet of rope that you need to cut into 27-foot sections. How many sections do you have?

    <p>215 sections with 9 feet left over</p> Signup and view all the answers

    In the metric system, each millimeter increment is ______?

    <p>1/1000 of a centimeter</p> Signup and view all the answers

    Your job as a carpenter pays $20/hour and you worked 40 hours last week. The taxes paid from your salary were $83 and $19. How much is your total check?

    <p>$698</p> Signup and view all the answers

    The marked measurement in the figure above indicates ___?

    <p>2.6 cm</p> Signup and view all the answers

    An electrician earns $25.00 per outlet he installs. The cost of material is $7.50 per outlet. A new addition needs 12 outlets installed. How much money will he earn?

    <p>$300</p> Signup and view all the answers

    What is 8/12 - 4/8? Reduce to the lowest terms.

    <p>1/6</p> Signup and view all the answers

    What is 7/8 times 3/9? Reduce to the lowest terms.

    <p>7/24</p> Signup and view all the answers

    What are the marked measurements?

    <p>2 1/4</p> Signup and view all the answers

    A screw is 3 7/10 inches long. Using decimals, this is written as ___________ inches?

    <p>3.70</p> Signup and view all the answers

    Convert 612 centimeters to meters.

    <p>6.12</p> Signup and view all the answers

    Multiply 4.5 times 7.

    <p>31.5</p> Signup and view all the answers

    One sheet of drywall weighs 48.7 pounds. You have ordered 50 sheets so your total order will weigh?

    <p>243.5 pounds</p> Signup and view all the answers

    You need to mix 42 pounds of mortar. Each pound of mortar mix requires 0.03 liters of water. How many liters of water do you need?

    <p>1.26 liters</p> Signup and view all the answers

    Convert 0.78 into a percentage.

    <p>78%</p> Signup and view all the answers

    A carpenter has to build an addition which needs 150 studs. Each stud costs $6.75. What is the total cost of the studs needed?

    <p>$1012.50</p> Signup and view all the answers

    The equivalent of 3/4 inch is?

    <p>0.75 inch</p> Signup and view all the answers

    While the measurement of the individual angles in a triangle can vary, their sum is always ______ degrees?

    <p>180</p> Signup and view all the answers

    When converting decimals to a percentage, simply move the decimal point ______?

    <p>two places to the right</p> Signup and view all the answers

    The area of a triangular roof section with a base of 7 feet and a height of 3.5 feet is?

    <p>24.5 sq ft</p> Signup and view all the answers

    You have to lay a floor for a 14-foot square shed. The area is______ square feet?

    <p>196</p> Signup and view all the answers

    The volume of a 9 inch cube is?

    <p>729 cubic inches</p> Signup and view all the answers

    The volume of a shape in the metric system is stated in the terms of?

    <p>cu m</p> Signup and view all the answers

    What is 1/3 of a dollar?

    <p>33 Cents</p> Signup and view all the answers

    The metric system is used to measure length, weight, volume, and?

    <p>Temperature</p> Signup and view all the answers

    1/4 + 3 + 8. Reduce to the lowest terms.

    <p>5 1/4</p> Signup and view all the answers

    Study Notes

    Conversions and Measurements

    • Converting 0.75 meters equals 75 centimeters.
    • Convert 0.86 to a fraction yields 43/50 (0.86/100).
    • 612 centimeters can be converted to 6.12 meters.
    • A screw measuring 3 7/10 inches is written as 3.70 inches in decimal form.

    Mathematical Operations

    • Percentage represents a value out of 100.
    • To calculate square footage, multiply room dimensions: 12 feet by 16 feet equals 192 square feet.
    • For 5,814 feet of rope cut into 27-foot sections, there will be 215 sections with 9 feet remaining.
    • Multiply 4.5 by 7 to get 31.5.

    Financial Calculations

    • A carpenter earning $20/hour for 40 hours, minus $102 in taxes, has a total check of $698.
    • An electrician earns $300 from installing 12 outlets, charging $25 per outlet with materials costing $7.50 each.
    • The total cost for 150 studs at $6.75 each amounts to $1,012.50.

    Geometry Basics

    • Each millimeter is 1/1000th of a centimeter.
    • The area of a triangular roof section with a base of 7 feet and height of 3.5 feet is 24.5 square feet.
    • A square room with 14-foot sides has an area of 196 square feet.

    Fractions and Percentages

    • Simplifying 8/12 - 4/8 results in 1/6.
    • Simplifying 7/8 times 3/9 gives 7/24.
    • To convert 0.78 to a percentage, it is 78%.
    • For mixed numbers, the equivalent of 3/4 inch should be calculated based on context.

    General Knowledge

    • In a triangle, the sum of the internal angles is always 180 degrees.
    • Converting decimals to percentages requires moving the decimal point two places to the right.
    • The metric system measures temperature, in addition to length, weight, and volume.
    • The volume of a shape in metric is expressed in cubic meters (cu m).

    Weight and Volume

    • One sheet of drywall weighs 48.7 pounds; thus, 50 sheets weigh 243.5 pounds.
    • The volume of a cube measuring 9 inches features calculations for each side: 9 x 9 x 9 equals 729 cubic inches.

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    Description

    Test your knowledge on essential construction math concepts with this quiz. Covering topics such as unit conversions, percentages, and measurements, it's perfect for those in the construction field. Challenge yourself and see how well you understand these fundamental math skills!

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