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Grade 8 July Examination

Chapters 1-13: Numbers, Exponents, Algebra, Construction & Geometry

What this quiz covers

grade8_july_exam_test draws its questions at random from a bank of 28 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.

Which property is shown by \(3 \times (4+5) = 3 \times 4 + 3 \times 5\)?

  1. Distributive Law
  2. Commutative Law
  3. Associative Law
  4. Identity Law

Answer: Distributive Law

\(a(b+c)=ab+ac\)

\(\text{The 3 is distributed over the bracket.}\)

What is the highest common factor (HCF) of 24 and 36?

  1. 12
  2. 6
  3. 72
  4. 4

Answer: 12

\(24=2^3\times3,\quad 36=2^2\times3^2\)

\(\text{HCF}=2^2\times3=12\)

Round 48 765 to the nearest 1 000.

  1. 49 000
  2. 48 000
  3. 48 800
  4. 50 000

Answer: 49 000

\(\text{The hundreds digit is 7, so round up.}\)

Calculate \(-8 + 5\).

  1. \(-3\)
  2. \(3\)
  3. \(-13\)
  4. \(13\)

Answer: \(-3\)

\(\text{Start at } -8 \text{ and move 5 right.}\)

Calculate \(-6 \times -4\).

  1. 24
  2. \(-24\)
  3. 10
  4. \(-10\)

Answer: 24

\(\text{A negative times a negative is positive.}\)

\(6\times4=24\)