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Grade 8 July Examination — Part 2

Chapters 15-19: Fractions, Decimals, Pythagoras, Area, Perimeter & Volume

What this quiz covers

grade8_july_exam_test2 draws its questions at random from a bank of 25 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.

Calculate \(\dfrac{1}{2} + \dfrac{1}{3}\).

  1. \(\dfrac{5}{6}\)
  2. \(\dfrac{2}{5}\)
  3. \(\dfrac{1}{5}\)
  4. \(\dfrac{2}{6}\)

Answer: \(\dfrac{5}{6}\)

\(\text{Common denominator 6: } \dfrac{3}{6}+\dfrac{2}{6}\)

\(=\dfrac{5}{6}\)

Calculate \(\dfrac{2}{3} \times \dfrac{3}{4}\).

  1. \(\dfrac{1}{2}\)
  2. \(\dfrac{6}{7}\)
  3. \(\dfrac{5}{7}\)
  4. \(\dfrac{5}{12}\)

Answer: \(\dfrac{1}{2}\)

\(\text{Multiply across: } \dfrac{2\times3}{3\times4}=\dfrac{6}{12}\)

\(=\dfrac{1}{2}\)

Calculate \(\dfrac{3}{4} \div \dfrac{1}{2}\).

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

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

\(\text{Multiply by the reciprocal: } \dfrac{3}{4}\times\dfrac{2}{1}\)

\(=\dfrac{6}{4}=\dfrac{3}{2}\)

Write \(\dfrac{8}{12}\) in simplest form.

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

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

\(\text{Divide top and bottom by 4.}\)

\(\dfrac{8\div4}{12\div4}=\dfrac{2}{3}\)

What is \(\dfrac{3}{5}\) of 40?

  1. 24
  2. 8
  3. 40
  4. 120

Answer: 24

\(\dfrac{3}{5}\times40=\dfrac{120}{5}\)

\(=24\)