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GCSE Mathematics Flashcards

7 cards from real GCSE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 GCSE Mathematics flashcards as text

  1. What is the formula for the volume of a cone?

    Answer: ⅓πr²h

    Volume of a cone = ⅓πr²h, where r is the radius of the base and h is the perpendicular height. A cone has exactly one-third the volume of a cylinder with the same base and height.

  2. Simplify: (x³)²

    Answer: x⁶

    When raising a power to another power, multiply the indices: (x³)² = x^(3×2) = x⁶.

  3. Find the nth term of the sequence: 5, 8, 11, 14, ...

    Answer: 3n + 2

    The sequence increases by 3 each time, so the nth term starts with 3n. For n = 1: 3(1) = 3, but we need 5, so add 2. Check: 3n + 2 gives 5, 8, 11, 14 ✓.

  4. Two angles in a triangle are 47° and 68°. What is the third angle?

    Answer: 65°

    Angles in a triangle sum to 180°. 47° + 68° = 115°. 180° − 115° = 65°.

  5. What is 40% written as a fraction in its simplest form?

    Answer: 2/5

    40% = 40/100. Simplify by dividing both by 20: 40/100 = 2/5.

  6. Calculate the compound interest on £2,000 at 5% per year for 2 years.

    Answer: £210.50

    Year 1: £2,000 × 1.05 = £2,100. Year 2: £2,100 × 1.05 = £2,205. Interest = £2,205 − £2,000 = £205. Wait — £2,100 × 0.05 = £105; total interest = £100 + £105 = £205. Actually the final value is £2,205, and the interest is £205. Re-checking: the answer choices show £210.50 for option C but the calculation gives £205. Let me restate: interest = £205, so the closest correct answer in the list is actually £205. The answer is B (£205).

  7. A bag contains 3 red, 5 blue, and 2 green balls. What is the probability of picking a blue ball at random?

    Answer: 1/2

    Total balls = 3 + 5 + 2 = 10. Probability of blue = 5/10 = 1/2.