N1 - Answers Order positive and negative integers, decimals and fractions; use the symbols =, ≠, <, >, ≤,
≥.
N2 - Answers Apply the four operations, including formal written methods, to integers, decimals and
simple fractions (proper and improper), and mixed numbers - all both positive and negative; understand
and use place value (e.g. when working with very large or very small numbers, and when calculating
with decimals).
N3 - Answers Recognise and use relationships between operations, including inverse operations (e.g.
cancellation to simplify calculations and expressions); use conventional notation for priority of
operations, including brackets, powers, roots and reciprocals.
N4 - Answers Use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common
factors, common multiples, highest common factor, lowest common multiple, prime factorisation,
including using product notation and the unique factorisation theorem.
N5 - Answers Apply systematic listing strategies, including use of the product rule for counting (i.e. if
there are m ways of doing one task and for each of these, there are n ways of doing another task, then
the total number of ways the two tasks can be done is m × n ways).
N6 - Answers Use positive integer powers and associated real roots (square, cube and higher), recognise
powers of 2, 3, 4, 5; estimate powers and roots of any given positive number.
N7 - Answers Calculate with roots, and with integer and fractional indices.
N8 - Answers Calculate exactly with fractions, surds and multiples of π; simplify surd expressions
involving squares (e.g. √12 = √(4 × 3) = √4 × √3 = 2√3) and rationalise denominators.
N9 - Answers Calculate with and interpret standard form A × 10n, where 1 ≤ A < 10 and n is an integer.
N10 - Answers Work interchangeably with terminating decimals and their corresponding fractions (such
as 3.5 and 7/2 or 0.375 or 3/8 into their corresponding fractions and vice versa).
N11 - Answers Identify and work with fractions in ratio problems.
N12 - Answers Interpret fractions and percentages as operators.
N13 - Answers Use standard units of mass, length, time, money and other measures (including standard
compound measures) using decimal quantities where appropriate.
N14 - Answers Estimate answers; check calculations using approximation and estimation, including
answers obtained using technology.
, N15 - Answers Round numbers and measures to an appropriate degree of accuracy (e.g. to a specified
number of decimal places or significant figures); use inequality notation to specify simple error intervals
due to truncation or rounding.
N16 - Answers Apply and interpret limits of accuracy, including upper and lower bounds.
Algebraic Manipulation - Answers Using symbols to represent mathematical operations.
Coefficient - Answers A numerical factor in a term.
Surds - Answers Irrational numbers expressed with roots.
Binomial - Answers A polynomial with two terms.
Quadratic Expression - Answers An expression of the form ax² + bx + c.
Factorising - Answers Expressing an expression as a product of factors.
Laws of Indices - Answers Rules for simplifying expressions with powers.
Equation - Answers A mathematical statement asserting equality.
Identity - Answers An equation that is true for all values.
Function - Answers A relation mapping inputs to outputs.
Composite Function - Answers A function formed by combining two functions.
Gradient - Answers The slope of a line in a graph.
Intercept - Answers The point where a graph crosses an axis.
Turning Point - Answers A point where a graph changes direction.
Reciprocal Function - Answers A function defined as y = 1/x.
Exponential Function - Answers A function of the form y = k^x.
Simultaneous Equations - Answers Equations solved together for common variables.
Iteration - Answers A method for finding approximate solutions.
Inequality - Answers A mathematical statement of non-equality.
Sequence - Answers An ordered list of numbers following a rule.
Fibonacci Sequence - Answers A sequence where each term is the sum of two preceding.
Arithmetic Progression - Answers A sequence with a constant difference between terms.