Questions marked the way the scheme marks them
Careless-error clinicFix the slips that cost you easy marks.Choose a topic
Number
- Place value, ordering and decimal operationsFree
- Signed arithmetic and number lines
- Operation order, inverses and reciprocals
- Primes, factor trees, HCF and LCM
- Systematic lists and combinations
- Integer powers and roots
- Equivalent fractions and mixed numbers
- Fraction arithmetic and exact answers
- Decimals, fractions and percentages
- Metric units, money and dimensional conversion
- Estimation and sense checks
- Rounding, significant figures and error intervals
- Standard form and calculator entry
Ratio, proportion and rates of change
- Ratio notation and multiplicative comparison
- Fractions within ratio problems
- Sharing quantities and equivalent ratios
- Scale factors, scale drawings and maps
- Percentages, changes and multipliers
- Original values, profit and simple interest
- Compound growth and decay
- Direct and inverse proportion: tables and relationships
- Speed, density, pressure and unit pricing
- Proportional graphs and rates of change
Algebra
- Algebraic language and notation
- Substitution and calculator brackets
- Like terms and algebraic index rules
- Single brackets and common factors
- Expanding two binomials
- Monic quadratics and difference of squares
- Formulae and changing the subject
- Identities and algebraic reasoning
- Input/output and inverse number machines
- Linear equations, including both sides
- Forming equations from situationsFree
- One-variable linear inequalities
- Two linear simultaneous equations
- Solving monic quadratics by factorisation
- Coordinates and geometric problems on axes
- Plotting lines, gradient and intercept
- Equations of lines and parallel lines
- Quadratic graphs, roots and turning points
- Cubic, reciprocal and contextual graphs
- Term rules, special and geometric sequences
- The nth term of a linear sequence
Geometry and measures
- Shape vocabulary, symmetry and quadrilaterals
- Angles at points, lines and parallel lines
- Triangles, interior and exterior polygon angles
- Congruence criteria and geometric deductions
- Compass constructions and loci
- Reflections, rotations and translations
- Positive and fractional enlargements
- Column vectors and vector arithmetic
- Solids, plans and elevations
- Circle vocabulary and perimeter
- Areas of triangles, quadrilaterals and composites
- Prisms, cylinders and surface area
- Pyramids, cones, spheres and composite solids
- Arc lengths and sectors
- Similar figures and length ratios
- Pythagoras in two dimensions
- Right-triangle trigonometry in two dimensions
- Exact trigonometric values
- Bearings and geometric modelling
Probability and statistics
- Probability language, frequency trees and expectation
- Exhaustive outcomes and experimental probability
- Sets, Venn diagrams and sample spaces
- Independent and dependent event trees
- Samples, populations and statistical claims
- Data tables, bar/pie/time-series charts and frequency polygons
- Ordered stem-and-leaf, averages, spread and grouped means
- Scatter graphs and predictions
- Linked representations and multistep reasoning
Foundation tier: clinics and exam repair
- Foundation numerical fluency clinic
- Foundation ratio and percentage problems
- Foundation algebra and graph clinic
- Foundation geometry and equipment clinic
- Foundation statistics and probability clinic
- Foundation non-calculator assessment and repair
- Foundation calculator assessment and repair
- Foundation readiness and tier-transition review
Higher tier: number, algebra and proportion
- Product counting and estimating powers/roots
- Fractional and negative indices
- Surds, exact calculations and rationalising
- Recurring decimals as fractions
- Upper/lower bounds in calculations
- Algebraic fractions and rational equations
- Three binomials and non-monic factorisation
- General algebraic proofs
- Formal, inverse and composite functions
- Translations and reflections of function graphs
- Perpendicular gradients and line equations
- Origin-centred circles and tangents
- Completing the square and turning pointsFree
- Quadratic formula and rearranged quadratics
- Linear/quadratic simultaneous equations
- Quadratic and two-variable inequalities
- Exponential and trigonometric graphs
- Graph gradients and areas
- Average and instantaneous rates of change
- Iterative formulae, roots and growth models
- Quadratic sequence nth terms
- Geometric sequences with surds and other patterns
- Constructing direct/inverse proportional equations
Higher tier: geometry and measures
- Negative-scale-factor enlargement
- Combined transformations and invariance
- Area and volume in similar figures
- Circle theorems and angle chains
- Circle theorem proofs and linked geometry
- Three-dimensional Pythagoras and trigonometry
- Sine rule and the ambiguous case
- Cosine rule for sides and angles
- Area of any triangle and mixed trigonometry
- Vector geometric arguments and proofs