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10th October 1995

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

  1. 1
    The Sine Rule3 marks

    In triangle ABC, angle A is 79°, angle B is 49° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.

  2. 2
    Venn Diagrams3 marks

    In a Venn diagram, 13 are in A only, 13 in B only, 10 in both and 3 in neither. Work out the probability a random one is in both.

  3. 3
    Capture Recapture3 marks

    35 beetles are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.

  4. 4
    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?

  5. 5
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 + 9x + 8.

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