How to Solve Maths Faster in Exams: Speed Without Mistakes

"I know the topic, but I could not finish the paper." This is one of the most common complaints after a maths exam. Speed is not about rushing; it is about removing wasted effort so that you can use the time you have. A student who solves a question in 90 seconds with two checks is not rushing, but working smoothly. Here is how to build that smoothness.

Why students are slow

Slowness usually comes from one of five causes:

Find which one is yours. Take a timed set and note where the minutes went.

1. Strengthen the basics

Fast maths sits on top of automatic basics. Drill them daily, five to ten minutes at a time.

• Multiplication tables up to 12 × 12, squares up to 15², and cubes up to 5³ or so.
• Fraction, decimal and percentage conversions (1/2, 1/4, 1/5, 1/8, 3/4).
• Rules of indices, logarithms and surds, as they appear in your syllabus.
• Common identities such as the difference of two squares and the expansion of (a + b)².
• Basic trigonometric values for 30°, 45° and 60°.

Use flash cards or ask a friend to quiz you. The aim is instant recall. Our guide to memorising faster has methods.

2. Learn the method, not just the answer

When you study a worked example, ask: why was this method chosen, and what clues in the question point to it? Make a "method list" with signs:

Practise recognising methods before solving. Mixing topics in a practice set trains this, a technique called interleaving that learning researchers find helpful for maths.

3. Write neat, step-by-step working

A messy page costs time and marks. Use a simple layout:

1. One step per line, with equals signs lined up.
2. Write the formula first, then substitute values.
3. Keep units with the numbers.
4. Circle or box the final answer.

If you need to find a mistake, neat working lets you spot it in seconds rather than starting over.

4. Use estimation and sense-checks

Before computing, estimate the answer. Then you will notice if your final result is wildly off.

• If you are finding 19.8% of 2,050, estimate 20% of 2,000 = 400. An answer of 4,060 is clearly wrong.
• If you are finding the length of a side in a right-angled triangle, check that the hypotenuse is the longest side.
• In probability, the answer must lie between 0 and 1.

A five-second check often saves a lost mark.

5. Use shortcuts that are safe

Shortcuts are helpful only if you understand why they work.

• Factorising early can reduce a long division into a short one.
• Cross-multiplying to compare fractions.
• Substituting the options back into the equation in an objective paper. If you have four options, testing the likeliest two can be faster than solving fully.
• Working with simpler numbers first (for example, test a formula with 2 and 3 to see the pattern).
• Elimination of impossible options: discard answers with the wrong units, the wrong sign or an impossible size.

Do not use a shortcut you cannot explain; it will fail you when the question changes.

6. Manage time with a plan

The structure depends on your paper, so use the time and number of questions given in your instructions. For a computer-based objective paper, as an illustration only: if you have 40 questions and 40 minutes, you can allow about a minute per question on average, with some calculations taking two and some taking 20 seconds.

A plan that works:

1. First pass (about two-thirds of the time): Answer questions you can do in under a minute and a half. Skip anything that stalls you.
2. Second pass: Return to skipped questions, now with known time left.
3. Final minutes: Fill in any blanks with your best guess, if there is no penalty for wrong answers in your exam.

Never fight one question for five minutes. Our CBT exam tips cover how to pace yourself on a screen.

7. Cut careless errors

Careless errors can cost as many marks as ignorance. Common ones include:

Keep an error log. After every practice set, write down every careless mistake. You will notice your own pattern, perhaps "I forget the negative sign in quadratics", and can watch for it. See how to study effectively for how to set up an error log.

8. Practise under time pressure, in stages

You build speed in three stages:

1. Accuracy first: solve untimed until you get most right.
2. Soft time limits: set a timer that is generous, then shorten it each week.
3. Exam conditions: a full timed paper without pausing.

A weekly plan:

Use real past-question style questions for the sets. Our practice sets for JAMB Mathematics let you time yourself and see explanations. For how to use past questions well, read how to use past questions, and for subject-specific advice see how to pass JAMB Mathematics.

Using the calculator wisely

Where a calculator is permitted for your exam, learn it well: brackets, powers, fractions, memory and mode settings. A calculator is useful for arithmetic but does not choose the method for you. Check the exam body's rules about which calculators are allowed.

What to do on the day

• Read the question twice. Underline what is being asked.
• Start with the questions you are confident about.
• If stuck, move on; a fresh look later often reveals the way.
• Keep your rough work neat and numbered.
• Stay calm. If you freeze, breathe slowly and restart with the first line of working.

The mindset shift

Speed is a by-product of a good method, tidy working and plenty of practice, not of panic. Aim to be a student who solves 20 questions steadily rather than one who rushes 30 with errors. Start this week: do five minutes of basics, one timed mixed set, and a careful review. Over a month, the difference will show in how comfortable the clock feels.