Mathematics
A working companion to Year 7 mathematics: concepts explained, formulas collected, worked examples, and graded practice. Each topic also exports to a printable workbook and answer key.
Topics currently ready to study.
Topics with a separate printable answer booklet.
Topics that go beyond the year's core coverage.
Number & Algebra
Year 7 core: compare, order, add and subtract integers, with extension into multiplication, division and mixed expressions.
Year 7 core: equivalent representations of rational numbers; converting between fractions, decimals and percentages; rounding decimals; the four operations with positive fractions and decimals; percentages of quantities.
Year 7 core: writing, simplifying, and solving problems with ratios; dividing quantities in a given ratio; applying ratios to lengths, areas and volumes.
Year 7 core: squares and square roots of perfect squares; prime factorisation using exponent notation. Extension into index laws.
Year 7 core: using variables in everyday formulas and substituting to find unknowns; collecting like terms; expanding single brackets with the distributive law.
Year 7 core: solving one-variable linear equations with natural-number solutions and verifying by substitution. Extension covers equations with negative or fractional solutions.
Measurement & Space
Year 7 core: metric length units, perimeter, area of rectangles, triangles and parallelograms, and the circle relationships between radius, diameter and circumference.
Year 7 core: volumes of right prisms (rectangular and triangular), capacity units, and the link between volume and capacity.
Year 7 core: triangle angle sum and angle relationships on parallel lines cut by a transversal (corresponding, alternate, co-interior).
Year 7 core: classifying triangles and quadrilaterals by their properties, and transforming points in the Cartesian plane (translation, reflection in an axis, rotation about the origin).
Year 7 core: naming prisms and pyramids, drawing and interpreting nets, and two-dimensional representations of three-dimensional objects.
Year 7 core: plotting points in all four quadrants, and generating tables of values from a rule to plot linear relationships.
Statistics & Probability
Year 7 core: dot plots, stem-and-leaf plots and column graphs; describing distributions by shape, centre and spread; choosing the right display.
Year 7 core: range, mean, median and mode; choosing a measure of central tendency; how outliers affect summary statistics.
Year 7 core: sample spaces for single-stage experiments, assigning probabilities, and comparing predicted with observed results from repeated trials.