Grade 8 - Numbers & Integers Worksheet

Instructions: Show all working. No marks are awarded for answers only. Simplify all fractions. Round decimals to 2 decimal places unless stated otherwise.

Section A: Ordering & Comparing Integers (4 marks)

1. Write the following integers in ascending order: $\quad -3;\; 0;\; -8;\; 5;\; -1;\; 4$ (2)

2. Insert $<$ or $>$ to make each statement true:

   a) $-7 \;\square\; -3$      b) $-12 \;\square\; -15$ (1 each)

Section B: Integer Operations (6 marks)

Calculate each of the following:

1. $-8 + (-3)$ (1)

2. $5 - (-12)$ (1)

3. $(-4) \times (-7)$ (1)

4. $(-36) \div 9$ (1)

5. $3 - 8 + (-2) + 6$ (2)

Section C: Fractions (6 marks)

1. Simplify: $\dfrac{24}{36}$ (1)

2. Calculate: $\dfrac{2}{3} + \dfrac{3}{4}$ (2)

3. Calculate: $\dfrac{5}{6} - \dfrac{1}{4}$ (2)

4. Write as an improper fraction: $2\dfrac{3}{5}$ (1)

Section D: Conversions (4 marks)

Total: 20 marks