WAEC WASSCE Maths: The Core Topics That Come Up Every Year

Quick answer: WASSCE Core (General) Mathematics has two papers: Paper 1, a 50-question objective test, and Paper 2, a theory paper with a compulsory short-answer section plus a choose-five longer section. The topics that appear almost every year are number bases, indices and surds, simultaneous and quadratic equations, sets and Venn diagrams, mensuration, trigonometry (including bearings), variation, and statistics. Drill those and you cover the bulk of both papers.

I don't sit WASSCE myself — I'm doing IGCSE and A-Levels right now — but I spent a whole term going through General Mathematics past papers with a friend who was prepping for WAEC, and the thing that stunned me was how predictable it is. The same topics, dressed in slightly different numbers, come back year after year after year.

So this isn't a "revise everything" post. It's the opposite. Here is what actually recurs, what each paper rewards, and where the cheap marks hide.

The two papers, and what each one rewards

Paper 1 (Objective): 50 multiple-choice questions, five options each (A to E), 1 hour 30 minutes, 50 marks. No working is marked — only the answer you shade. So speed and accuracy decide everything, and there is no partial credit. That is roughly 1.8 minutes per question. If one is dragging, make your best guess and move on; a blank scores the same as a wrong answer (zero), so never leave one empty.

Paper 2 (Theory): 2 hours 30 minutes, 100 marks, in two sections. Section A has ten compulsory short questions worth 40 marks. Section B has longer, harder questions from which you answer five, worth 60 marks. Here working is everything — WAEC awards method marks. You can get the final answer wrong and still pick up most of the marks if your method is laid out clearly. So show every line.

The short version: Paper 1 rewards fast recall, Paper 2 rewards clean working.

The topics that come up every single year

Across both papers, this cluster reappears with almost boring reliability:

• Number bases — conversion and arithmetic in different bases (the WAEC signature topic)
• Indices, surds and logarithms — the laws, plus standard form
• Fractions, ratio, percentages and variation (direct, inverse, joint, partial)
• Sets and Venn diagrams (two and three sets)
• Simultaneous equations and quadratic equations
• Mensuration — area, volume, surface area, sectors, cones, spheres
• Geometry and circle theorems
• Trigonometry — SOHCAHTOA, sine and cosine rules, elevation and depression, bearings
• Statistics — mean, median, mode, frequency tables, cumulative frequency curves, pie charts
• Probability, coordinate geometry, sequences (AP and GP), and 2 by 2 matrices

If you are solid on the first nine, you have covered most of both papers. Want to find your weak ones fast? Run a mixed set on /quiz and see which topics you keep missing.

Worked example: number bases (the WAEC signature)

Almost no other board tests number bases the way WAEC does, and it shows up nearly every year. Here is the two-way skill examiners want.

Problem: Convert 234 in base five to base ten, then convert your answer back to base five to check.

Step 1 — write the place values. In base five the columns from the right are 5^0, 5^1, 5^2, so 1, 5, 25.

Step 2 — multiply each digit by its place value: (2 × 25) + (3 × 5) + (4 × 1).

Step 3 — evaluate: 50 + 15 + 4 = 69. So 234 in base five equals 69 in base ten.

Step 4 — convert 69 back by repeated division by 5, writing the remainder each time:

• 69 ÷ 5 = 13 remainder 4
• 13 ÷ 5 = 2 remainder 3
• 2 ÷ 5 = 0 remainder 2

Step 5 — read the remainders from the bottom up: 2, 3, 4, which gives 234 in base five. It matches, so we are right.

One extra trick they love is base equations. "Find x if 121 in base x equals 100 in base ten." Notice that 121 in base x means x^2 + 2x + 1, which factorises to (x + 1)^2. So (x + 1)^2 = 100, x + 1 = 10, x = 9. Spotting that square saves you a messy trial-and-error.

The algebra half: quadratics and simultaneous equations

Quadratics turn up in both papers. Factorising is fastest when it works. For 2x^2 - 5x - 3 = 0, split the middle term using two numbers that multiply to (2 × -3) = -6 and add to -5: those are -6 and +1. So 2x^2 - 6x + x - 3 = 0, then 2x(x - 3) + 1(x - 3) = 0, giving (2x + 1)(x - 3) = 0, so x = -1/2 or x = 3. If an expression will not factorise, fall back on the formula x = (-b ± sqrt(b^2 - 4ac)) / 2a.

Simultaneous equations in Section A are usually two linear equations (use elimination), but Section B sometimes gives one linear and one quadratic — substitute the linear one into the quadratic. Practise both, because mixing them up is a classic trap. If you want the steps shown line by line, /math-solver walks through either method.

Where the cheap marks hide: mensuration, trig, statistics

Mensuration is pure formula recall, so it is the easiest place to bank marks. WAEC uses pi = 22/7 unless a question says otherwise. The total surface area of a closed cylinder with r = 7 cm and h = 10 cm is 2 × pi × r × (r + h) = 2 × 22/7 × 7 × 17 = 748 cm^2. Always write the unit — cm^2 for area, cm^3 for volume — because dropping it can cost a mark.

For trigonometry, the rule of thumb is simple: a right-angled triangle means SOHCAHTOA; any other triangle means the sine rule if you have a matching side-and-angle pair, or the cosine rule if you have two sides and the included angle. Bearings are measured clockwise from north as three digits, so due east is 090 degrees — and measuring from the wrong line is the single most common trig mistake I saw.

Statistics almost always includes a frequency table (find the mean using the sum of fx divided by the sum of f) and, in Section B, a cumulative frequency curve for the median and quartiles. These are procedural marks — learn the routine once and they are yours every year.

How to prioritise your revision

1. Pull the last five years of General Mathematics past papers and tally which topics appear. You will watch the cluster above dominate.
2. Drill the high-frequency topics first — number bases, indices, quadratics, mensuration, trigonometry, statistics.
3. For Paper 1, practise against the clock; for Paper 2, practise writing full working.
4. Turn the formulas you keep forgetting into flashcards and review them daily.
5. Every few days, test the mix rather than one topic, on /quiz — real papers never serve one topic at a time.

Test yourself

1. Convert 1101 in base two to base ten.
2. Solve x^2 - 7x + 12 = 0 by factorising.
3. A sector of a circle has radius 7 cm and an angle of 90 degrees. Find its area (take pi = 22/7).

Answers:

1. (1 × 8) + (1 × 4) + (0 × 2) + (1 × 1) = 13.
2. (x - 3)(x - 4) = 0, so x = 3 or x = 4.
3. Area = (90/360) × 22/7 × 7^2 = (1/4) × 22/7 × 49 = 38.5 cm^2.

Get more questions like these, marked instantly, on /quiz.

FAQ

How is WASSCE Core Mathematics scored across the two papers?

Paper 1 (objective) is worth 50 marks and Paper 2 (theory) is worth 100 marks, and WAEC combines them into your final grade. Because Paper 2 carries more marks and gives method marks, that is where careful working pays off most.

Am I allowed a calculator?

WAEC permits a non-programmable, silent calculator, and mathematical tables are also provided. Learn to read the tables anyway, so a flat battery or a barred calculator on the day never turns into a disaster.

Which topic is most worth mastering first?

Number bases and mensuration. Both are high-frequency, self-contained, and quick to get reliable at, so they give you the best marks-per-hour early in revision.

Do I have to answer every question in Paper 2?

No. Section A's ten questions are all compulsory, but in Section B you choose five of the longer questions. Read every Section B question first, then pick the five you can score highest on — do not just start at the top.

In short: WASSCE Core Maths rewards the student who drills the same recurring cluster — number bases, algebra, mensuration, trig and statistics — under real paper conditions, not the one who tries to learn everything.