JCE Mathematics study plan

Classify and order rational and irrational numbers, converting fluently between fractions, decimals and percentages

Apply index laws and surds to simplify and combine expressions without a calculator

Compute with standard form, including multiplication and division with correct significant figures

Solve ratio, proportion and percentage-change problems, including reverse percentage and compound interest

Calculate with upper and lower bounds, including error intervals and maximum/minimum of combined quantities

Convert between units and currencies using given rates, and check answers by estimation

Solve problems involving direct and inverse proportion using algebraic setup

Interpret and manipulate numbers in context (finance, measurement, scale) and justify rounding decisions

Expand and factorise linear and quadratic expressions, including difference of two squares

Solve linear equations and simultaneous equations by elimination and substitution

Rearrange formulas to change the subject, including cases with the variable appearing twice

Solve linear inequalities and represent solution sets on a number line

Solve quadratic equations by factorising, completing the square and the formula, and interpret the discriminant

Form equations from word problems and define variables explicitly before solving

Build and use simple mathematical models, stating assumptions and limitations

Check model outputs for reasonableness and communicate conclusions in context

Apply angle facts for lines, triangles, polygons and circles to find unknown angles with stated reasons

Use congruence and similarity criteria to prove relationships and find missing lengths

Calculate perimeter, area and volume of compound shapes, including sectors and prisms

Apply Pythagoras' theorem and the distance formula in two- and three-dimensional problems

Use sine, cosine and tangent ratios and the sine and cosine rules to solve triangles

Convert between degrees and radians and sketch trigonometric graphs with key features

Sketch and interpret linear, quadratic, exponential and reciprocal graphs, identifying intercepts and asymptotes

Apply transformations of graphs (translation, reflection, stretch) and write the resulting equation

Construct and interpret frequency tables, histograms and cumulative frequency curves to estimate median and quartiles

Calculate mean, median, mode, range and standard deviation, and compare distributions in context

Use the addition and multiplication rules for probability, including conditional probability and tree diagrams

Distinguish mutually exclusive from independent events and justify each classification

Complete two full-length timed mock papers under exam conditions and record per-domain scores

Rework every incorrect answer and tag each error by cause (concept, method, arithmetic, misread)

Revisit the three weakest topics identified from mock data with targeted practice

Build a final one-page formula and method sheet from memory and verify it