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7th December 1993

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 58°, angle B is 38° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.

  2. 2
    Venn Diagrams3 marks

    In a Venn diagram, 3 are in A only, 3 in B only, 9 in both and 7 in neither. Work out the probability a random one is in both.

  3. 3
    Capture Recapture3 marks

    35 newts are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.

  4. 4
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.5858... as a fraction in its simplest form.

  5. 5
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 + 16x + 63.

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