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22nd June 1962

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 6, y = 36. Work out y when x = 5.

  2. 2
    Vectors3 marks

    a is the column vector (-2, -6) and b is (-6, 4). Work out 5a - 2b as a column vector.

  3. 3
    Probability Trees3 marks

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

  4. 4
    Capture Recapture2 marks

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

  5. 5
    Bounds2 marks

    A mass is 110 kg, correct to the nearest 10. Write down the lower bound.

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