Practice questions

Ratios a : b : c, sharing in a ratio, changing ratios, map scales for length and area, average speed, work rates, travel graphs and mixtures. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Profit and loss, discount and marked price, percentage change, simple and compound interest, depreciation and salaries tax. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Rounding up, down and off, significant figures, upper and lower limits of a measurement, relative and percentage error, and whether a claimed total is possible. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Solving linear inequalities, compound inequalities with “and” and “or”, the integers that satisfy them, number lines and word problems. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Laws of indices, change of subject, expansion and factorization, identities, surds, directed numbers, and linear equations in one and two unknowns. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (12) · Paper 1 challenge (10) · Paper 2 multiple-choice (15) · Paper 2 challenge MC (12)

Solving quadratics, the discriminant, sum and product of roots, non-real roots, and simultaneous equations with one non-linear equation. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (12) · Paper 1 challenge (6) · Paper 2 multiple-choice (20) · Paper 2 challenge MC (10)

Completing the square, the vertex, axis of symmetry, translations and reflections of y = f(x), maximum and minimum values, and the discriminant read off the graph. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (18) · Paper 1 challenge (10) · Paper 2 multiple-choice (20) · Paper 2 challenge MC (18)

Translations, reflections and enlargements of y = f(x) for cubic, exponential, logarithmic and sine graphs, read from equations, points and sketches, and solving f(x) = k and f(x) > k from a graph. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Laws of logarithms and rational indices, exponential and logarithmic equations, graphs of exponential and logarithmic functions, log-linear relations, and real-life scales such as decibels and pH. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Factorization, identities, the remainder and factor theorems, H.C.F. and L.C.M. of polynomials, and algebraic fractions. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (15) · Paper 1 challenge (10) · Paper 2 multiple-choice (25) · Paper 2 challenge MC (15)

Solving quadratic inequalities by factorising, completing the square and the discriminant, with word problems. An extension topic with no past-paper model.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Centroid, circumcentre, orthocentre and in-centre found with line equations: medians, perpendicular bisectors, altitudes and angle bisectors. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (5) · Paper 1 challenge (5) · Paper 2 multiple-choice (5) · Paper 2 challenge MC (5)

Sine, cosine and tangent in right-angled triangles, exact values for 30°, 45° and 60°, sin²θ + cos²θ = 1 and the (90° − θ) identities, gradient, and angles of elevation and depression. Modelled on 2012 to 2025 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Slopes, intercepts, perpendicular bisectors, loci and the circumcentre, worked in coordinates. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (8) · Paper 1 challenge (4) · Paper 2 multiple-choice (20) · Paper 2 challenge MC (8)

Pie charts, bar charts, stem-and-leaf diagrams, histograms, frequency polygons, scatter diagrams, misleading graphs and sampling, read and interpreted without averages. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)

Mean, median and mode from tables and stem-and-leaf diagrams, weighted and grouped means, range, standard deviation, standard scores and the normal distribution. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (8) · Paper 1 challenge (8) · Paper 2 multiple-choice (8) · Paper 2 challenge MC (8)

Quartiles, inter-quartile range, box-and-whisker diagrams, percentiles, and cumulative frequency tables and polygons, from ungrouped and grouped data. Modelled on 2012 to 2026 past-paper style.

Paper 1 long questions (10) · Paper 1 challenge (10) · Paper 2 multiple-choice (10) · Paper 2 challenge MC (10)