ICAS Mathematics study plan

Diagnose current accuracy in Number and Arithmetic by completing a 30-question untimed baseline set and logging every error by cause (concept, careless, timing)

Compute fluently with integers, fractions, decimals and percentages without a calculator, converting between all four forms

Apply order of operations, index laws and negative-number rules to simplify multi-step numeric expressions

Solve ratio, rate, proportion and percentage-change word problems using a consistent written method

Drill mental arithmetic for 15 minutes on four separate days to build speed on multiplication facts, squares to 15 and common fraction-decimal-percentage equivalents

Solve multi-step money, discount, tax and interest problems and check each answer by an independent estimation

Round, estimate and check reasonableness of answers to judge whether a calculator result is plausible

Re-attempt every question from the Week 1 error log and record which causes have been eliminated

Simplify and expand algebraic expressions including brackets, negative coefficients and simple binomial products

Solve linear equations and inequalities, and rearrange formulas to change the subject

Identify, continue and describe arithmetic, geometric and simple quadratic patterns, writing a general rule in terms of n

Translate short word statements into equations and interpret the solution in the context of the problem

Attempt a 40-question combined Number and Algebra paper under timed conditions and mark it against a rubric

Substitute values into formulas and evaluate expressions involving indices and negative numbers accurately

Solve simultaneous linear equations by substitution and by elimination, choosing the faster method

Analyse remaining error patterns and rank them by frequency to plan the second half of the course

Convert confidently between metric units of length, area, volume, mass and capacity, including squared and cubed units

Calculate perimeter, area and volume of rectangles, triangles, circles, prisms and composite shapes

Apply angle facts for parallel lines, triangles, quadrilaterals and polygons to find unknown angles with stated reasoning

Use Pythagoras' theorem and basic trigonometric ratios to find missing sides and angles in right-angled triangles

Interpret scales, timetables, timetables-style time calculations and coordinate grids accurately, including negative coordinates

Read and construct tables, bar charts, line graphs and pie charts, and describe trends without overstating them

Compute mean, median, mode and range from raw lists and frequency tables, and explain the effect of outliers

Assign simple probabilities from equally likely outcomes and use the complement and addition rules

Represent data in stem-and-leaf plots and frequency tables and answer comparison questions between two data sets

Solve probability problems involving two-step experiments using lists, tables and tree diagrams

Distinguish correlation from causation and critique misleading graphs and sampling claims

Complete a 30-question Statistics and Probability set and correct every wrong answer

Revisit the three weakest skills from the Week 4 audit for 20 minutes each

Sit two full-length timed practice papers under exam conditions and mark both strictly

Review every error from both papers and classify each as a knowledge gap, a method gap or a timing issue

Rehearse a timed-strategy routine: scan the paper, bank easy marks first, and cap time per question

Recite from memory all formulas, unit conversions and angle facts on the reference card