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9th December 1991

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

  1. 1
    Fractional and Negative Indices3 marks

    Work out 125^(2/3).

  2. 2
    Solving Quadratics3 marks

    Solve x^2 + 14x + 45 = 0.

  3. 3
    Repeated Percentage Change3 marks

    A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.

  4. 4
    Perpendicular Lines and the equation of a tangent2 marks

    A line has gradient -2. Work out the gradient of a line perpendicular to it.

  5. 5
    Conditional Probability3 marks

    29 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1991, including the monthly compilation PDF.