Knowledge and use of numbers and the number system including fractions, decimals, percentages, ratio, proportion and order of operations are expected

The product rule for counting

Work out how many 5-digit odd numbers can be formed using the digits  1    3    4    6    8    with no repetition of any digit

Manipulation of surds, including rationalising the denominator

The use of surds in exact calculations

Write $\sqrt{200} - \sqrt{72} + 3\sqrt{162}$ in the form of $a \sqrt{2}$

Rationalise and simplify $\dfrac{3\sqrt{2} + 4}{5\sqrt{2} - 7}$

Write the expression $\dfrac{3\sqrt{3} + 7}{3\sqrt{3} - 5}$ in the form $a + b \sqrt{3}$, where a and b are integers