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16th November 1954

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

  1. 1
    Capture Recapture3 marks

    40 beetles are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.

  2. 2
    The Product Rule for Counting3 marks

    A code is 3 letters (A to Z) followed by 3 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 - 7 that passes through (6, -16).

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

    x : y = 5 : 6. Write y in terms of x.

  5. 5
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.

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