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21st March 1997

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

  1. 1
    The Sine Rule3 marks

    In triangle ABC, angle A is 55°, angle B is 78° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.

  2. 2
    Venn Diagrams3 marks

    In a Venn diagram, 17 are in A only, 13 in B only, 8 in both and 2 in neither. Work out the probability a random one is in both.

  3. 3
    Capture Recapture2 marks

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

  4. 4
    The Product Rule for Counting3 marks

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

  5. 5
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 + 8x + 12.

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