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29th August 1995

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.

  2. 2
    Probability Trees3 marks

    A bag holds 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.

  3. 3
    Capture Recapture3 marks

    15 beetles are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.

  4. 4
    Surds2 marks

    Write sqrt(50) in the form a sqrt(b), where b is as small as possible.

  5. 5
    Parallel and Perpendicular Lines3 marks

    Work out the equation of the line parallel to y = 2x + 7 that passes through (5, 21).

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