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24th December 1991

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

  1. 1
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.

  2. 2
    Probability Trees3 marks

    A bag holds 4 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.

  3. 3
    Capture Recapture3 marks

    20 fish are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.

  4. 4
    The Product Rule for Counting3 marks

    A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?

  5. 5
    Parallel and Perpendicular Lines3 marks

    Work out the equation of the line parallel to y = 4x - 8 that passes through (1, -1).

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