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15th May 1992

5 questions · 14 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 = 9, y = 90. Work out y when x = 7.

  2. 2
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has a hypotenuse of 14 cm and an angle of 39°. Work out the side adjacent to that angle, to 1 decimal place.

  3. 3
    Probability Trees3 marks

    8 of 10 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 newt population of a stream. State one assumption the method relies on.

  5. 5
    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?

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