Aviation Math

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Questions and Answers

State whether the following angles are acute, right, reflex or obtuse:

234°

  • Obtuse
  • Acute
  • Right
  • Reflex (correct)

State whether the following angles are acute, right, reflex or obtuse:

71°47’

  • Acute (correct)
  • Obtuse
  • Right
  • Reflex

Determine the complimentary angles of the following:

11°

79°

Determine the complimentary angles of the following:

17°44’

<p>72°16’</p> Signup and view all the answers

Determine the supplementary angles of the following:

169°

<p>11°</p> Signup and view all the answers

Determine the supplementary angles of the following:

104°14’

<p>75°46’</p> Signup and view all the answers

Label the parts of the following circles as indicated:

<p>A = Circumference B = Diameter C = Radius D = Chord E = Arc F = Tangent</p> Signup and view all the answers

How many degrees into the cycle is point P?

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

Determine the types of triangles shown:

60° 60°

<p>Equilateral triangle (B), Isosceles triangle (C)</p> Signup and view all the answers

Determine the types of triangles shown:

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

Given the standard a, b, c layout of a Pythagorean triangle as shown, solve for the unknown sides in the table below:

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

Determine the unknown sides in the following triangles. Round answers to one decimal place where necessary:

[blank]

<p>11.8</p> Signup and view all the answers

Use the trigonometry table provided in the student resource to solve the unknown sides in these triangles:

[blank]

<p>5.7</p> Signup and view all the answers

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Flashcards

What is addition?

Adding two or more numbers together.

What is subtraction?

Subtracting one number from another.

What is multiplication?

Multiplying two or more numbers together.

What is division?

Dividing one number by another.

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What is the average?

A value that represents the central tendency of a set of numbers.

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What is approximation?

A rough estimation of a calculation.

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What is an improper fraction?

A fraction where the numerator is greater than or equal to the denominator.

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What is an irrational number?

A number that cannot be expressed as a simple fraction.

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What is cancelling technique?

Reducing a fraction to its simplest form by dividing both numerator and denominator by their greatest common factor.

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What is BODMAS?

The order of operations to solve mathematical expressions.

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What are directed numbers?

Numbers that have a positive or negative sign.

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What is ratio?

A comparison of two quantities.

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What is percentage?

A fraction representing a part out of a hundred.

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How to calculate percentage?

Expressing one quantity as a fraction of another quantity, multiplied by 100.

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What is unit conversion?

Changing units of measurement to different units.

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What is an algebraic expression?

A mathematical expression involving variables.

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What is simplifying algebraic expressions?

Combining like terms in an algebraic expression.

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What is transposing formulas?

Changing the subject of a formula to solve for a specific variable.

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What is evaluating expressions?

Replacing variables with their given values.

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What is factorising expressions?

Breaking down a mathematical expression into its factors.

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What is index notation?

A shorthand way of representing repeated multiplication.

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What is an exponent?

A power with a base and an exponent.

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What is a zero exponent?

A numerical value raised to a power of zero.

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What is scientific notation?

Expressing a very large or very small number in a more compact form.

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What are simultaneous equations?

Equations with two or more variables.

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What is a quadratic equation?

An equation with a variable squared.

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What is decibel (dB)?

A measure of the logarithmic ratio of power output to power input.

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What is an acute angle?

An angle less than 90 degrees.

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What is a right angle?

An angle equal to 90 degrees.

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What is an obtuse angle?

An angle greater than 90 degrees but less than 180 degrees.

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What is a reflex angle?

An angle greater than 180 degrees but less than 360 degrees.

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What are complementary angles?

Two angles whose sum is 90 degrees.

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What are supplementary angles?

Two angles whose sum is 180 degrees.

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What is an acute triangle?

A triangle with all three angles less than 90 degrees.

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What is a right triangle?

A triangle with one 90-degree angle.

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What is an obtuse triangle?

A triangle with one angle greater than 90 degrees.

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Study Notes

Aviation Mathematics Workbook - Module 1

  • This workbook contains exercises on mathematics, specifically designed for use in Module 1 of an Aviation program.
  • The workbook provides a table of contents listing each exercise and the corresponding page numbers.
  • Exercises cover a wide range of mathematical topics, including arithmetic operations (addition, subtraction, multiplication, division), finding averages, calculating products, estimations, solving equations, and common fractions.
  • It also includes exercises on converting between decimals and fractions, simplifying algebraic expressions, and solving simultaneous equations and complex equations.
  • Page numbers for each exercise are listed in the table of contents.
  • The workbook is intended for use as training material only, and is a controlled document.
  • Copyright is held by Aviation Australia.

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Aviation Australia Mathematics Workbook 2025 PDF

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