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21st July 1983

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

  1. 1
    The Sine Rule3 marks

    In triangle ABC, angle A is 41°, angle B is 92° 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, 11 are in A only, 17 in B only, 3 in both and 5 in neither. Work out the probability a random one is in both.

  3. 3
    Histograms2 marks

    A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.

  4. 4
    Surds2 marks

    Write sqrt(45) in the form a sqrt(b), where b is as small as possible.

  5. 5
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 + x - 72.

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