How to Get 90% in Grade 12 Pure Maths Prelims

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Prelim Guide
Grade 12 Pure Maths · Prelim Exam · 2026

How to Get 90% in Grade 12 Pure Maths Prelims

Your prelim is the full NSC exam in disguise. Same format, same topics, same marks. This is not a guide about "studying harder." It is a tactical breakdown of how to approach the actual exam paper, question by question, minute by minute, so you walk out knowing you left nothing on the table.

In this post you will learn:
✓The exact time you should spend on each question in Paper 1 and Paper 2
✓Which questions to do first and which to leave for last
✓The 5 mistakes that cost students 20+ marks every prelim
✓A topic-by-topic game plan for both papers
✓What to do the night before and the morning of the exam

Time Strategy: 150 Marks in 180 Minutes


Each paper is 150 marks in 3 hours. That gives you 1.2 minutes per mark. A 5-mark question gets 6 minutes. A 10-mark question gets 12 minutes. If you are on a question longer than that, you are stealing time from easier marks later.

📘 PAPER 1 TIME PLAN
Question Topic Marks Time Do When
Q1 Algebra ~25 30 min First
Q2-3 Sequences and Series ~25 25 min Second
Q4-5 Functions and Graphs ~35 35 min Third
Q6 Finance ~15 18 min Early
Q7-8 Calculus ~35 40 min Middle
Q9-10 Probability ~15 18 min Do not skip
Checking 14 min Last
📘 PAPER 2 TIME PLAN
Question Topic Marks Time Do When
Q1-2 Statistics ~20 22 min First (easy marks)
Q3-4 Analytical Geometry ~40 44 min Second
Q5-7 Trigonometry ~40 44 min Third
Q8-10 Euclidean Geometry ~50 55 min Last (hardest)
Checking 15 min Last

Paper 1: Question-by-Question Game Plan


Q1: Algebra (~25 marks)
Your warm-up. Bank these marks.

Starts with basic factorisation, then simultaneous equations, then harder quadratics, inequalities, or surds. Do parts (a) and (b) quickly and accurately. Parts (c) onward get harder. If a surd equation stumps you, move on and come back. Always check solutions for surds by substituting back.

Full algebra guide →

Q2-3: Sequences and Series (~25 marks)
Very predictable. Know your formulas cold.

Always identify: is it arithmetic or geometric? Am I finding a term (Tn) or a sum (Sn)? Those two answers tell you which formula to use. The sigma notation question is always worth 3 to 4 marks. The "show that" question requires you to prove a common difference or ratio is constant. Sum to infinity only applies when |r| < 1.

Full sequences guide →

Q4-5: Functions and Graphs (~35 marks)
The big one. Do not rush.

Expect a parabola combined with a straight line or hyperbola. You will sketch graphs, find equations from graphs, determine domain and range, and answer inequality questions. The inverse function (log) appears every year. For sketches: find intercepts, turning point, asymptotes, and plot at least 4 points before drawing.

Full functions guide →

Q6: Finance (~15 marks)
Formulas are on your sheet. Free marks.

Compound growth/decay, nominal vs effective interest rates, annuities (future and present value). The formulas are provided. Your job is to identify which formula, convert i to the correct compounding period, and bracket your bases before raising to the power. Always check: is n in years, months, or quarters?

Full finance guide →

Q7-8: Calculus (~35 marks)
Systematic. Follow the steps. Do not skip any.

Differentiation, finding turning points, sketching cubic graphs, optimisation or rate of change. For cubic graph sketches: find f'(x) = 0 for turning points, f(0) for y-intercept, f(x) = 0 for x-intercepts, and f''(x) for concavity. Show every step. The optimisation question is usually the last sub-part and carries 5 to 6 marks. Read it carefully and set up the equation before differentiating.

Full calculus guide →

Q9-10: Probability (~15 marks)
Do NOT skip this. Most students do. That is your advantage.

Counting principle (factorials, arrangements) and probability (Venn diagrams, contingency tables, independence). Start with the counting question since it is usually more straightforward. For Venn diagrams, fill in the overlap first. For testing independence, check if P(A and B) = P(A) x P(B). These 15 marks are there for the taking.

Full probability guide →

Paper 2: Question-by-Question Game Plan


Q1-2: Statistics (~20 marks)
Start here. Your calculator does most of the work.

Mean, standard deviation (calculator gives you σ, not s), scatter plot, regression line, correlation coefficient. Clear your calculator's stat memory before entering data. Plot the mean point (x̄, ȳ) and make sure your regression line passes through it. Know the difference between interpolation (reliable) and extrapolation (unreliable).

Full statistics guide →

Q3-4: Analytical Geometry (~40 marks)
Method-driven. Follow the steps and the marks follow.

Circle equation, completing the square, tangent to a circle, chords. The golden rule: tangent is perpendicular to radius (m₁ x m₂ = -1). If the equation is in general form, complete the square first. Always verify a point is on the circle before finding a tangent at that point.

Full analytical geometry guide →

Q5-7: Trigonometry (~40 marks)
Identities, general solutions, and 2D/3D problems.

For identity proofs: pick the more complicated side, expand using compound/double angle formulas, factorise. For general solutions: isolate the trig ratio, find the reference angle, write both solutions with k.360° or k.180° (tan). For restricted ranges, test k = -1, 0, 1 at minimum. The 2D/3D trig problem is usually the last question in this section and carries 8 to 10 marks.

Full trigonometry guide →

Q8-10: Euclidean Geometry (~50 marks)
The bookwork proof is free. The riders need strategy.

Q8 usually starts with a bookwork proof (proportionality theorem or tan-chord). Memorise it. Write it from memory for 6 to 8 marks. The riders that follow require you to mark equal angles on the diagram first, identify cyclic quads and tangents, then write statements with reasons. Never leave a rider blank. Even 2 correct statements with reasons earns partial marks.

Full geometry guide →

The 5 Mistakes That Cost 20+ Marks


1. Spending 20 minutes on a question worth 4 marks

That is 20 minutes that could have earned you 15+ marks on easier questions. Star the hard question. Move on. Come back later.

2. Leaving probability blank

15 marks gone. Even knowing the basic addition rule and the complement rule gets you 8 to 10 of those marks.

3. Not showing working in calculus

A 6-mark question needs 5 to 6 lines of working. Jump to the answer and you get 1 out of 6. Show every step.

4. Sign errors in algebra

-(x - 3)² is not -x² - 6x - 9. It is -(x² - 6x + 9) = -x² + 6x - 9. One wrong sign ruins every line after it.

5. Not checking answers in the last 15 minutes

Silly mistakes cost 10 to 15 marks per paper. A quick check catches most of them. Recalculate your first line of substitution for each question. That is where most errors hide.

For the full list, read 10 Most Common Mistakes in Grade 12 Maths Paper 1.

The Night Before and Morning Of


Night before:
✓Read through your formula sheet once. Know what is on it.
✓Write the proportionality theorem proof from memory one last time.
✓Pack your bag: calculator, pens, pencil, ruler, eraser, ID.
✓Set two alarms.
✓Sleep. Your brain consolidates learning during sleep. An extra hour of rest beats an extra hour of cramming.
Morning of:
✓Eat breakfast. Your brain runs on glucose.
✓Arrive 30 minutes early. No rushing.
✓Do NOT cram with classmates at the door. Other people's panic is contagious. Sit quietly, breathe, focus.

For the full prelim breakdown, read Everything You Need to Know About Grade 12 Prelims 2026.

For the full exam format, read NSC Maths Exam Format - Paper 1 vs Paper 2.

For past paper practice, read Grade 12 Maths Past Papers - How to Use Them to Study.

Your prelim is a dress rehearsal. Make sure you are rehearsed.

A-Game Academy teaches Grade 12 Pure Maths live via Zoom. Mr Sawaya, 30 years NSC experience. Small classes, max 15 students. Weekly past paper practice under exam conditions.

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