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GCSE Mathematics Flashcards

6 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 6 GCSE Mathematics flashcards as text

  1. What is the sum of interior angles of a pentagon?

    Answer: 540°

    The sum of interior angles of a polygon = (n − 2) × 180°, where n is the number of sides. For a pentagon: (5 − 2) × 180° = 3 × 180° = 540°.

  2. A car is bought for £8,000 and depreciates by 20% in the first year. What is its value after one year?

    Answer: £6,400

    20% of £8,000 = £1,600. Value after depreciation = £8,000 − £1,600 = £6,400. Alternatively: 80% × £8,000 = 0.8 × £8,000 = £6,400.

  3. Solve the simultaneous equations: x + y = 7 and x − y = 3

    Answer: x = 5, y = 2

    Add the equations: 2x = 10, so x = 5. Substitute: 5 + y = 7, so y = 2. Check: 5 − 2 = 3 ✓.

  4. What is the Pythagorean theorem?

    Answer: a² + b² = c²

    The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (c, the longest side) equals the sum of the squares of the other two sides: a² + b² = c².

  5. Write 0.000325 in standard form.

    Answer: 3.25 × 10⁻⁴

    Standard form is a × 10ⁿ where 1 ≤ a < 10. Move the decimal point 4 places to the right to get 3.25, so 0.000325 = 3.25 × 10⁻⁴.

  6. The bearing from A to B is 065°. What is the bearing from B to A?

    Answer: 245°

    To find the back-bearing, add 180° to the original bearing. 065° + 180° = 245°. Back-bearings always differ by 180°.