Trades Math Practice Quiz

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Questions and Answers

What is the sum of 254, 9652, 36, and 5276?

  • 15,209
  • 13,872
  • 15,218 (correct)
  • 12,518

What is the result of multiplying 65 by 367?

  • 23855 (correct)
  • 28355
  • 32855
  • 25388

Calculate the difference: 9426 - 458

  • 896
  • 8968 (correct)
  • 9869
  • 8698

What is the quotient of 671 ÷ 38?

<p>17.658 (C)</p> Signup and view all the answers

Calculate the sum: $18 \frac{1}{2} + 5 \frac{4}{5}$

<p>$24 \frac{3}{10}$ (C)</p> Signup and view all the answers

Determine the result of $17 \frac{1}{8} - 12 \frac{1}{4}$

<p>$4 \frac{7}{8}$ (A)</p> Signup and view all the answers

Multiply the following fractions: $2 \frac{1}{2} \times 3 \frac{5}{8}$

<p>$9 \frac{3}{16}$ (C)</p> Signup and view all the answers

What is the result of $13 \frac{11}{15} \div 5$?

<p>$2 \frac{7}{15}$ (C)</p> Signup and view all the answers

What is the result of the expression (6 x 385) – (6 x 231)?

<p>17,658 (B)</p> Signup and view all the answers

Which of the following is a proper fraction?

<p>9 16 (B)</p> Signup and view all the answers

What is the decimal equivalent of the mixed number 12?

<p>12.0 (B), 12.00 (C)</p> Signup and view all the answers

What is the approximate value of 4.625 rounded to two decimal places?

<p>4.63 (A)</p> Signup and view all the answers

Which option represents the Pythagorean theorem?

<p>A² + B² = C² (C)</p> Signup and view all the answers

What is the result of (-5) x (-8)?

<p>40 (C)</p> Signup and view all the answers

What is the value of 3 + (-17)?

<p>-20 (A)</p> Signup and view all the answers

Calculate 0.5².

<p>0.25 (A)</p> Signup and view all the answers

What is the smallest value among these? 14², 6ᶾ, √14236, √25143.

<p>√14236 (B)</p> Signup and view all the answers

What is the perimeter P of a rectilinear building with Length (L) = 7595, Width (W) = 4750, Recesses (R) = 1300, using the formula P = 2(L + W + R)?

<p>19890 (D)</p> Signup and view all the answers

If a 3 meter tall water tank holds 20 kL at full capacity, how much does it hold when filled to 2 meters?

<p>13.4 kL (D)</p> Signup and view all the answers

What is the speed in km/h of a concrete fastener fired at 98 meters per second?

<p>352.8 (B)</p> Signup and view all the answers

What value does R equal when M = 8 and T = 16 in the expression R = 12(Mᶾ)?

<p>1536 (D)</p> Signup and view all the answers

What is 37.5% of 89 feet?

<p>33.375 feet (C)</p> Signup and view all the answers

What is the area of a circle with a diameter of 12 cm, rounded to the nearest cm²?

<p>114 cm² (B)</p> Signup and view all the answers

If 16 x Y = 14, then what is the value of Y?

<p>9.625 (A)</p> Signup and view all the answers

Which equation is NOT correct?

<p>Y = R + T / Y (C)</p> Signup and view all the answers

How many liters of paint are needed to cover the outside of a closed tank with a diameter of 3 meters and a length of 6 meters, excluding the ends? 1 liter covers 9 m².

<p>6.3 liters (D)</p> Signup and view all the answers

What is the measurement at angle X in a triangle where the sides are 15 cm and 9 cm?

<p>80° (B)</p> Signup and view all the answers

What is 21 approximately what percent of 1034?

<p>20.3 (C)</p> Signup and view all the answers

Flashcards

Adding whole numbers

Adding multiple whole numbers together.

Multiplying whole numbers

Multiplying two whole numbers together.

Subtracting whole numbers

Subtracting one whole number from another.

Dividing whole numbers

Dividing one whole number by another.

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Adding fractions

Adding fractions with the same denominator.

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Subtracting fractions

Subtracting fractions with the same denominator.

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Multiplying fractions

Multiplying a fraction by a whole number.

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Dividing fractions

Dividing a fraction by a whole number.

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Tangent (Tan)

The ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

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Power

A mathematical expression that represents a value raised to a power.

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Fraction

A quantity that can be expressed as a fraction, with one part representing the whole.

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Proportion

A relationship between two quantities, typically expressed as a ratio, where the two quantities change proportionally.

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Negative Number

A numerical representation of a value that is less than zero.

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What is Y if 16 x Y = 14?

The fraction obtained when a number is divided by 16.

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Solve for R in the equation: 6R x S = B + D

The value of R is equal to the sum of B and D, divided by 6 and then multiplied by S.

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What is 37.5% of 89 feet?

It represents the percentage of a given value.

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What is the area of a circle with a diameter of 12 cm?

The formula used to find the area of a circle is πr².

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What is the area of the triangle?

The area of a triangle is calculated by multiplying the base by the height and dividing by 2.

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How many liters of paint are needed to cover the outside of a tank with a diameter of 3 meters and a length of 6 meters?

The formula used to find the surface area of a cylinder is 2πrh.

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What is the formula to find the angle of the cable to the ground?

The tangent function is used to find the angle of a right triangle when the opposite and adjacent sides are known.

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Exponent

The product of a number multiplied by itself. For example, 2² = 2 x 2 = 4.

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Square Root

The square root of a number 'x' is another number 'y' that when multiplied by itself results in 'x'. For example, the square root of 9 is 3 since 3 x 3 = 9.

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Scientific Notation

A way of writing very large or very small numbers using powers of 10. The first part is a number between 1 and 10, and the second part is a power of 10. For example, 123456 in scientific notation is 1.23456 x 10⁵.

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Order of Operations (BEDMAS)

A set of rules used to solve mathematical expressions in a specific order. It stands for Brackets, Exponents, Division, Multiplication, Addition, and Subtraction.

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Ratio and Proportion

A mathematical relationship that states that two ratios are equal. It can be used to solve for unknown values.

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Algebra

A mathematical expression that uses variables, constants, and operations to represent a relationship. For example, 2x + 3 = 7 is an algebraic equation.

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Study Notes

Trades Math Practice

  • The score needed to pass a trades pretest depends on the difficulty and amount of math in the program.
  • A sample quiz can show the types of math content needed for BCIT trades programs.
  • Students should be able to complete the practice quiz in 45 minutes and score above 70%.
  • Additional help with math is available through Math for the Trades courses (from the ACES Math section).
  • Students can seek help from family, friends, or online resources for math improvement.

Whole Numbers

  • Calculations: Examples of addition (1, 254 + 9652 + 36 + 5276), multiplication (2, 65 x 367), and subtraction (3, 9426-458) are provided.
  • Results: Answers to the example problems are provided (15,218, 23855, 8968 etc.).
  • Additional Calculations: More examples of whole number problems are included in the document.

Fractions

  • Addition: Examples like 18 + 5/4 are given.
  • Subtraction: Example problems include 17/5 - 12/7.
  • Multiplication: Examples include 2x3/8.
  • Division: Problems show 1315 ÷ 5.

Decimals

  • Multiplication: Includes 18.2 x 0.064.
  • Division: Includes 38.54 ÷ 8.2.
  • Conversion: Includes how to convert 0.357 into a common fraction.
  • Decimal Conversion: Includes conversion of a mixed number (48 40/100) to a decimal.

Signed Numbers

  • Multiplication: (-5) x (-8) is an example.
  • Addition with Negatives: 3 + (-17) is an example.
  • Subtraction with Negatives: (-12) – (34) is an example.

Powers

  • Squares: Examples are provided, such as 0.52 = 0.25
  • Square Roots: Examples are included, like √3.24 = 1.8.
  • Scientific Notation: Included example conversion to scientific notation for 123.456.

Order of Operations

  • BEDMAS: The acronym (Brackets, Exponents, Division, Multiplication, Addition, and Subtraction) is presented in a context related to mathematical equations.
  • Calculations: Example problems are provided.

Ratio and Proportion

  • Calculations: Formulas for solving ratios.

Algebra

  • Equations: Given example equations.
  • Variables: Solutions involve solving for unknown variables (e.g., solving for R) using given values (e.g., M = 8, T = 16).

Geometry

  • Area of a Circular Tank: Calculates the area of a circular tank from a given diameter.
  • Area of a Triangle: Finds the area of a triangle with base and height.
  • Volume of a Tank: Finds the volume based on dimensions provided.

Percent

  • Calculations: Given example problems related to performing calculations with percent values.

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