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7th June 1996

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

  1. 1
    Probability Trees3 marks

    5 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  2. 2
    Capture Recapture2 marks

    A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.

  3. 3
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.9595... as a fraction in its simplest form.

  4. 4
    Factorising Harder Quadratics3 marks

    Factorise 4x^2 - 9.

  5. 5
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 6, y = 18. Work out y when x = 7.

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