GCSE Geography AQA 8035

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*