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19th April 1994

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

  1. 1
    Probability Trees3 marks

    3 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  2. 2
    Capture Recapture3 marks

    30 newts are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.

  3. 3
    The Product Rule for Counting3 marks

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

  4. 4
    Simultaneous Equations3 marks

    3 teas and 3 cakes cost £15.75. 2 teas and 3 cakes cost £13.35. Find the price of a tea.

  5. 5
    Writing a Ratio as a Fraction or Linear Function2 marks

    x : y = 4 : 7. Write y in terms of x.

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