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28th December 1954

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

  1. 1
    Capture Recapture3 marks

    55 newts are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.

  2. 2
    Fractional and Negative Indices2 marks

    Write 5^-3 as a fraction.

  3. 3
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 - 2x - 15.

  4. 4
    Writing a Ratio as a Fraction or Linear Function2 marks

    x : y = 3 : 5. Write y in terms of x.

  5. 5
    The Sine Rule3 marks

    In triangle ABC, angle A is 48°, angle B is 58° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1954, including the monthly compilation PDF.