Math Assessment - Key Concepts
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Questions and Answers

What is the numerical representation of ten thousand, four hundred and twenty-seven?

  • 10,540
  • 10,240
  • 14,270
  • 10,427 (correct)

    • Which of the following is an improper fraction?

  • 5/6
  • 3/2 (correct)
  • 1/2
  • 52/72 (correct)

    • How many studs were delivered in total by both trucks?

  • 1,059 (correct)
  • 947
  • 800
  • 1,059 (correct)

    • What is the total amount of ceiling tiles needed if each of the 18 offices on 37 stories requires 21 tiles?

    <p>14,280</p> Signup and view all the answers

    What is the result of dividing 1,518 by 46?

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

    If insulation installation covers 1,400 square feet per hour, how many days will it take to install 29,400 square feet?

    <p>5 days</p> Signup and view all the answers

    What is the simplified form of the fraction 14/16?

    <p>7/8</p> Signup and view all the answers

    What is the common denominator for the fractions 1/3 and 3/4?

    <p>12</p> Signup and view all the answers

    If a flooring adhesive covers 87 sq.ft. per gallon, how many sq.ft. will be covered by 5 gallons?

    <p>435 sq.ft.</p> Signup and view all the answers

    What is the value of the fraction $\frac{13}{16}$?

    <p>0.8125</p> Signup and view all the answers

    How many square feet of carpet have been installed out of 47,440 sq.ft. if 62.5% has been completed?

    <p>25,404 sq.ft.</p> Signup and view all the answers

    Complete the proportion: 63:21 ; 75:_______.

    <p>35</p> Signup and view all the answers

    What is the total cost of purchasing 75 gallons of concrete sealer and 2 concrete sprayers with the given prices?

    <p>$8,234.75</p> Signup and view all the answers

    Convert 0.875 into a fraction in lowest terms.

    <p>$\frac{7}{8}$</p> Signup and view all the answers

    Convert the fraction $\frac{5}{12}$ into a decimal rounded to the nearest hundredths.

    <p>0.49</p> Signup and view all the answers

    How many hours did the carpenter crew work if $3,928.05$ was paid at a rate of $6.45$ per hour?

    <p>592 hours</p> Signup and view all the answers

    What is the length of the longer leg in a right triangle if the shorter legs are 3' and 4'?

    <p>5'</p> Signup and view all the answers

    What is the area of a rectangle that measures 14' by 9'?

    <p>126 square feet</p> Signup and view all the answers

    How many meters are equivalent to 1,500 cm?

    <p>1.5 meters</p> Signup and view all the answers

    What is the area of a triangle with a base of 17' and a height of 9'?

    <p>76.5 square feet</p> Signup and view all the answers

    What is the correct formula for calculating the area of a circle?

    <p>π × r²</p> Signup and view all the answers

    What is the volume in cubic meters of a tank measuring 1.5m wide, 2.7m long, and 0.7m high?

    <p>2.27 cubic meters</p> Signup and view all the answers

    What is the area of a circular insert with a diameter of 8'?

    <p>50.27 square feet</p> Signup and view all the answers

    Which term describes lines that are equal distances apart?

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

    Study Notes

    Math Assessment - Key Concepts

    • Number Writing: Ten thousand, four hundred, and twenty-seven is written as 10,427.

    • Improper Fractions: The improper fraction is 51/2.

    • Studs Delivered: A total of 1,069 studs were delivered. (847 + 212 = 1059)

    • Ceiling Tiles: 21 tiles are needed per office, 18 offices per floor, and there are 37 floors; so 13,716 tiles are needed. (211837=13716)

    • Division: 1,518 divided by 46 equals 33. (1,518 ÷ 46 = 33)

    • Installation Rate: If insulation can be installed at 1400 sq ft/hr and 29400 sq ft needs installing, the job will take 21 hours. (29400 ÷ 1400 = 21)

    • Fraction Simplification: 14/16 simplifies to 7/8. (14 ÷ 2 = 7, 16÷2 =8)

    • Fraction Simplification (2): 51/24 simplifies to 17/8.

    • Fraction Addition: 3/8 + 3/10 = 39/40.

    • Common Denominator: The lowest common denominator for 5/8 and 1/4 is 8.

    • Common Denominator (2): The lowest common denominator for 3/4 and 1/3 is 12.

    • Plywood Thicknesses: Plywood generally comes in thicknesses ranging from 1/4" to 1 1/8".

    • Stacked Plywood Thickness: Given thicknesses of 1/4", 3/8", 1/2" and 5/8", a stack of these will be 2 1/8" thick. (1/4 + 3/8 + 1/2 + 5/8 = 2 1/8)

    • Fraction Subtraction: 8/12 - 4/12 = 4/12, which simplifies to 1/3.

    • Fraction Subtraction (2): 11/16 - 1/4 =7/16

    • Concrete Forms: A two-man crew sets approximately 725 sq ft of concrete forms per day. If they've completed half that amount, 362.5 sq ft of forms remain. (725/2 = 362.5)

    • Flooring Adhesive: 5 gallons of flooring adhesive covers 437 square feet. (5 * 87.5 = 437.5)

    • Multiplication: 13 * 16= 208

    • Time to Align Motors (hours): Aligning 6 more motors will take 12 hours. (24/11 * 6 = 12 hours)

    • Proportion Completion: The proportion continues 63:21; 75:25.

    • Equivalent Fractions: 5/6 x 8/8 = 40/48

    • Decimal Conversion: Nine hundredths = 0.09.

    • Decimal Conversion (2): Eighty-seven thousandths is 0.087

    • Addition: 3.6 + 4.7 + 0.5 = 8.8

    • Subtraction: 7.2 - 1.06 = 6.14

    • Contractor's Payment: The carpenter crew worked 609 hours. (3,928.05 / 6.45= 609)

    • Multiplication (2): 4* 1.74 = 6.96

    • Division (2): .65 / 1.5 = 0.43

    • Total Cost: The total cost for 75 gallon of sealer and 2 sprayers is 860.56.(75/5∗860.56. (75/5 * 860.56.(75/5∗109.75 + 2 * 104.59=104.59 = 104.59=860.56)

    • Decimal to Fraction: 0.875 = 7/8.

    • Fraction to Decimal: 12/5 = 2.4

    • Percentage to Decimal: 79% is 0.79

    • Carpet Installation: 29,650 square feet of carpet have been installed. (47,440 sq. ft * 62.5% = 29,650 square feet)

    • Feet and Inches to Inches: 5 feet and 3 inches is equal to 63 inches. (5 * 12 + 3 = 63)

    • Yards to Inches: 2 2/3 yards equal 252 inches.((2 2/3) x 3 x 12 = 252)

    • Pi Approximation: Pi is approximately 3.1416.

    • Triangle Sides: If the shorter legs of a right triangle are 3 and 4, the length of the longer leg is 5. (3² + 4² = 5²)

    • Units Conversion: 1,500 cm equals 15 meters. (1,500 cm / 100 cm/meter = 15 meters)

    • Rectangle Area: The area of a rectangular room that is 14 ft by 9 ft is 126 sq ft. (14*9=126)

    • Triangle Area: The area of a triangle with a base of 17' and a height of 9' is 76.5 square feet. (1/2 * 17 * 9 = 76.5)

    • Circle Area: The area of a circle with a diameter of 8 ft. is 50.27 square feet. (π*(8/2)^2 = 50.27)

    • Tank Volume: The volume of the rectangular tank is 1.09 cubic meters (approximately. 1.5 x .7 x.2.7 = 2.835 m³. Rounded to thousandths.)

    • Inch Conversion: 34,991 cubic inches equals 62 cubic yards.
      (34,991 cu. in. / 46,656 cu. in./cu. yd. = approximately 0.75)

    • Ruler Measurements: Measurements A, B,C,D need the diagram to determine the measurements.

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    Description

    Test your understanding of key math concepts including number writing, improper fractions, and fraction operations. This assessment covers practical applications and calculations relevant to various math topics, ensuring a comprehensive review for learners. Perfect for students seeking to solidify their math skills.

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