#1A
The ordinary processes of number manipulation
The ‘four operations’ and combination of them by use of brackets
#1B
Prime numbers, factors, multiples
To include finding HCF and LCM in simple cases
#1C
Indices, powers and roots
Use index notation and index laws for multiplication and division involving integer, fractional and negative powers
#1D
Simple manipulation of surds
Students should understand what surds represent and their use for exact answers
Manipulation will be simple
For example:
\(5\sqrt{3} + 2\sqrt{3} = 7\sqrt{3}\)
\(\sqrt{48} = 4\sqrt{3}\)
\(10 × \dfrac{1}{\sqrt{5}} = 2\sqrt{5}\)
#1E
Rationalising the denominator
\(\dfrac{15}{\sqrt{7} - 2}\)
#1F
Natural numbers, integers and rational and irrational numbers
Recognitions of these sets
Proofs of irrationality will not be required
#1G
Weights, measures and money
Carry out calculations using standard units of mass, length, area, volume and capacity, time and average speed
Metric and SI units only
Carry out calculations using money, including converting between currencies (where conversion is required, the rate of conversion will always be given)
#1H
Fractions, decimals, ratio, proportion and percentage
Students will be expected to interchange any of these methods of fractional representation and to select the most appropriate to given situations
Ratios and proportions are required in, at most, three proportions, i.e.
\(a:b\) or \(a:b:c\)
Students will be expected to use the four operations with fractions and decimals, and use percentages, ratio and/or proportion in problems
#1I
Expressing numbers to a given degree of accuracy
Correction to a given number of decimal places or significant figures
#1J
Solve problems using upper and lower bounds where values are given to a degree of accuracy
#1K
Numbers in standard form
\(a × 10^n\), where \(n\) is an integer and \(1 \leq a < 10\)
Solve problems involving standard form
Questions may involve the application of any of the techniques listed in 1 to problems of everyday personal, domestic or community life