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12th December 1963

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

  1. 1
    Surds2 marks

    Write sqrt(75) in the form a sqrt(b), where b is as small as possible.

  2. 2
    Solving Quadratics3 marks

    Solve x^2 + 18x + 81 = 0.

  3. 3
    Repeated Percentage Change3 marks

    A town's population is 7000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.

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

    A line has gradient -5. Work out the gradient of a line perpendicular to it.

  5. 5
    Conditional Probability3 marks

    26 students study Spanish and 12 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 1963, including the monthly compilation PDF.