NSSCO Mathematics (6131) study plan

Simplify and factorise algebraic expressions including common factors, difference of two squares and trinomials, completing 20 mixed items with 80% accuracy

Solve linear equations and inequalities in one variable, including those with fractional coefficients, and represent inequality solutions on a number line

Apply index laws and surds to simplify expressions, converting between radical and index form

Compute with directed numbers, fractions, decimals and percentages without a calculator in a timed 15-minute set

Transpose formulas to change the subject, including cases requiring factorising the new subject out

Solve simultaneous linear equations by elimination and substitution, and interpret the solution geometrically

Solve quadratic equations by factorisation, completing the square and the formula, and state the number of real roots from the discriminant

Convert between standard form, currency, and ratio and proportion contexts including direct and inverse proportion problems

Calculate perimeter, area and volume of triangles, circles, prisms, cylinders and composite shapes, choosing the correct formula each time

Apply and rearrange Pythagoras' theorem in two- and three-dimensional contexts

Use angle properties of parallel lines, triangles, polygons and circles to find unknown angles with a stated reason for each step

Define sine, cosine and tangent in right-angled triangles and solve for missing sides and angles, including angles of elevation and depression

Apply the sine rule and cosine rule to non-right-angled triangles, including the ambiguous case awareness for the sine rule

Calculate the area of any triangle using half the product of two sides and the included sine

Solve bearings problems by sketching a clear diagram and using north lines and triangle methods

Convert between degrees and radians and use arc length and sector area formulas

Construct and interpret frequency tables, bar charts, histograms and cumulative frequency curves from raw data

Calculate mean, median, mode, range and interquartile range for grouped and ungrouped data, and read quartiles from a cumulative frequency curve

Compute probabilities using sample space diagrams, tree diagrams and the addition and multiplication rules, including mutually exclusive and independent events

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

Find the gradient, midpoint and length of a line segment between two points and derive the equation of a straight line in gradient-intercept and general forms

Determine whether two lines are parallel or perpendicular from their gradients and find the equation of a perpendicular bisector

Use function notation to evaluate, compose and invert simple functions, and state domain and range from a graph

Perform vector addition, subtraction and scalar multiplication in column form and interpret resultant vectors geometrically

Solve mixed multi-step problems that combine algebra with statistics or graph interpretation, such as finding a line of best fit and using it to predict

Interpret and criticise misleading graphs and statistical claims, justifying each judgement with numerical evidence

Solve examination-style structured questions under time pressure, allocating marks according to the number of marks available

Identify recurring error patterns from earlier weeks and reattempt those specific question types

Consolidate all seven domains by reworking the highest-error items from the mock and error log until each is correct without prompts

Memorise and reproduce from memory a single sheet of all key formulas across mensuration, trigonometry, statistics and coordinate geometry

Practise calculator and non-calculator technique, including rounding, significant figures and showing sufficient working for method marks

Rehearse exam timing by completing two short mixed section tests within the allocated time