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9th May 1995

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

  1. 1
    Capture Recapture3 marks

    45 fish are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.

  2. 2
    The Product Rule for Counting3 marks

    A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

  3. 3
    Parallel and Perpendicular Lines3 marks

    Work out the equation of the line parallel to y = 3x + 6 that passes through (3, 20).

  4. 4
    Writing a Ratio as a Fraction or Linear Function2 marks

    x : y = 4 : 9. Write y in terms of x.

  5. 5
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.

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