GCSE Further Maths Specification

AQA 8365

Section 1: Number

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#1.1

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

#1.2

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

#1.3

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