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16 core topics · free sets

Maths flashcards and quizzes

Maths is learned by doing, so use flashcards for the things you must recall instantly (formulas, definitions, rules and methods) and quizzes to practise using them; knowing the basics by heart frees your working memory for the problem itself.

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Levels

What does maths cover at each level?

School (about ages 11–16)

Number, algebra, ratio and proportion, geometry and measures, probability and statistics.

Pre-university (A-Level, IB, AP)

Pure maths (algebra, functions, trigonometry, calculus) with statistics and mechanics.

University

Analysis, linear algebra, calculus, probability and more abstract or applied modules.

Courses differ by country and exam board, so check your own specification. Our exam board guides cover 23 countries and curricula.

Revision

How should you revise maths?

Card formulas and when to use them

Know the formula, and also the cue for using it: "two sides and the included angle" means the cosine rule. Make cards for both.

Practise after every card session

Flashcards get the facts in; questions make them usable. Follow each short card session with a few problems, written out in full.

Learn methods as steps

Completing the square or solving simultaneous equations is a short sequence of steps. Put the steps on a card, then practise them.

Mix question types

Once you know a topic, mix it with others. Exams don't tell you which method to use; recognising it is part of the skill.

Watch out

What are the most common maths mistakes?

  • Mistake: (a + b)² = a² + b²

    Correct: (a + b)² = a² + 2ab + b². Expand it as (a + b)(a + b) to see where the 2ab comes from.

  • Mistake: Multiplying always makes a number bigger.

    Correct: Multiplying by a number between 0 and 1 makes it smaller, and multiplying by a negative number changes its sign.

  • Mistake: 0.45 is bigger than 0.5, because 45 is bigger than 5.

    Correct: 0.5 = 0.50, which is bigger than 0.45. Compare decimals place by place.

  • Mistake: A negative times a negative is negative.

    Correct: A negative times a negative is positive: (−3) × (−4) = 12.

Examples

Sample maths flashcards

One idea per card, a clear question, a short answer. This is the style every generated set follows.

Maths

What is the quadratic formula?

Back

x = (−b ± √(b² − 4ac)) / 2a, for an equation ax² + bx + c = 0.

Maths

What is the sum of the interior angles of a polygon with n sides?

Back

(n − 2) × 180°. For example, a pentagon's interior angles add up to 540°.

Maths

What is any non-zero number to the power 0?

Back

1. For example, 7⁰ = 1.

FAQ

Maths: questions

Can you learn maths with flashcards?

For the parts that need instant recall, yes: formulas, definitions, rules and the steps of methods. The rest comes from practising questions, which quizzes help with.

How do I stop making silly mistakes in maths?

Write every step, check signs and units, and re-read the question at the end. Your quiz mistakes show which slips you make most often.

What should I revise first for a maths exam?

Start with the topics that come up most and that other topics depend on, like algebraic manipulation, fractions and percentages, then work through your specification.

Make your first maths set

Pick a topic, choose how many cards and questions, and have a set ready in about a minute. Free.

Start a set

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