GCE O/L Mathematics study plan

Apply the four operations confidently to integers, decimals and fractions, including negative numbers

Convert fluently between fractions, decimals and percentages, and order a mixed set of values

Use index laws for multiplication, division and powers of powers with integer and simple fractional indices

Compute squares, cubes and their roots, and estimate roots of non-square numbers to one decimal place

Write and interpret numbers in standard form, and carry out multiplication and division in standard form

Round to a given number of decimal places or significant figures and state upper and lower bounds for rounded values

Calculate with money, best-buy comparisons and simple household budgets

Solve percentage problems including increase, decrease, reverse percentage and simple compound interest

Simplify algebraic expressions by collecting like terms and multiplying out single and double brackets

Factorise expressions by taking out a common factor and factorise quadratic expressions of the form x squared plus bx plus c

Solve linear equations, including those with brackets and fractions on both sides

Rearrange formulae to change the subject, including cases where the subject appears twice

Generate and use coordinate pairs to plot straight-line graphs from equations in the form y equals mx plus c

Find the gradient and intercept of a line from its equation and from two given points

Solve simultaneous linear equations by elimination and by substitution

Set up and solve word problems by forming an equation or a pair of simultaneous equations

Calculate angles in triangles, quadrilaterals, parallel lines and polygons using angle facts and give a reason for each step

Apply Pythagoras' theorem to find a missing side and decide when to add or subtract the squares

Compute the area and perimeter of rectangles, triangles, parallelograms, trapezia and circles

Compute the volume and surface area of cuboids, prisms and cylinders, keeping units consistent

Use bearings correctly, measuring and drawing three-figure bearings and solving back-bearing problems

Apply the sine, cosine and tangent ratios to find missing sides and angles in right-angled triangles

Solve practical problems involving angles of elevation and depression

Convert between metric units of length, area and volume, and between metric and common imperial units where required

Construct and interpret frequency tables, bar charts, pie charts and histograms for grouped data

Calculate mean, median, mode and range from raw data and from a grouped frequency table, and compare two data sets

List outcomes of single and combined events systematically using tables or tree diagrams

Calculate probabilities of single events and of combined independent events, and use the fact that probabilities sum to 1

Simplify ratios, divide a quantity in a given ratio, and solve direct and inverse proportion problems

Convert between related units and solve speed, density and pressure problems using the standard formulae

Complete two full mixed-topic papers under timed conditions and record the score for each domain

Rework every error from those papers and state the rule or method that was missed