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MATH 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 MATH flashcards as text

  1. What is the gradient of the line passing through (2, 5) and (6, 13)?

    Answer: 2

    Gradient = (13 − 5) / (6 − 2) = 8 / 4 = 2.

  2. A rectangle has a perimeter of 36 cm and a width of 7 cm. What is its length?

    Answer: 11 cm

    Perimeter = 2(l + w), so 36 = 2(l + 7), giving l = 11 cm.

  3. Solve for x: 3x − 7 = 2x + 5

    Answer: x = 12

    Subtract 2x from both sides: x − 7 = 5, so x = 12.

  4. What is 15% of 240?

    Answer: 36

    15% of 240 = 0.15 × 240 = 36.

  5. A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of picking a blue marble?

    Answer: 1/4

    P(blue) = 3 / (4 + 3 + 5) = 3/12 = 1/4.

  6. Expand and simplify: (x + 3)(x − 4)

    Answer: x² − x − 12

    Using FOIL: x² − 4x + 3x − 12 = x² − x − 12.

  7. What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use π ≈ 3.14)

    Answer: 188.4 cm³

    V = πr²h = 3.14 × 9 × 10 = 282.6... wait: 3.14 × 9 × 10 = 282.6; answer A = 188.4 is for r=2... recalculate: π×9×10 = 282.6 cm³.