Grade 8 Mathematics

Exponent Laws — Quiz 1

Test your understanding of all seven exponent laws. 15 questions covering multiplication, division, power of a power, zero and negative exponents. Enter your name to begin.

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What this quiz covers

Grade 8 — Common Fractions Quiz 1 draws its questions at random from a bank of 17 questions, with full worked solutions for every one.

Worked examples

A few of the question types, with full solutions, so you know what to expect.

Find the missing numerator: \(\dfrac{2}{5}=\dfrac{?}{20}\)

  1. \(4\)
  2. \(8\)
  3. \(10\)
  4. \(40\)

Answer: \(8\)

The denominator went from \(5\) to \(20\), so it was multiplied by \(4\).

Do exactly the same to the numerator: \(2\times 4 = 8\).

*Whatever you do to the bottom, do to the top.

Which fraction is equivalent to \(\dfrac{3}{4}\)?

  1. \(\dfrac{6}{12}\)
  2. \(\dfrac{9}{12}\)
  3. \(\dfrac{3}{8}\)
  4. \(\dfrac{12}{8}\)

Answer: \(\dfrac{9}{12}\)

Multiply top and bottom by the same number: \(\dfrac{3\times 3}{4\times 3}\).

\(=\dfrac{9}{12}\)

Write \(\dfrac{12}{18}\) in its lowest terms.

  1. \(\dfrac{2}{3}\)
  2. \(\dfrac{3}{4}\)
  3. \(\dfrac{4}{9}\)
  4. \(\dfrac{6}{8}\)

Answer: \(\dfrac{2}{3}\)

The highest common factor of \(12\) and \(18\) is \(6\).

\(\dfrac{12\div 6}{18\div 6}=\dfrac{2}{3}\)

Simplify \(\dfrac{15}{25}\).

  1. \(\dfrac{3}{5}\)
  2. \(\dfrac{5}{3}\)
  3. \(\dfrac{1}{2}\)
  4. \(\dfrac{3}{4}\)

Answer: \(\dfrac{3}{5}\)

Divide top and bottom by their highest common factor, \(5\).

\(\dfrac{15\div 5}{25\div 5}=\dfrac{3}{5}\)

Which is larger: \(\dfrac{3}{4}\) or \(\dfrac{5}{8}\)?

  1. \(\dfrac{3}{4}\)
  2. \(\dfrac{5}{8}\)
  3. They are equal
  4. Cannot be compared

Answer: \(\dfrac{3}{4}\)

Use a common denominator of \(8\): \(\dfrac{3}{4}=\dfrac{6}{8}\).

Now compare numerators: \(6 > 5\).