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9th December 1959

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

  1. 1
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.888... as a fraction in its simplest form.

  2. 2
    Quadratic Formula3 marks

    Work out the discriminant of 2x^2 + 4x + 7 = 0 and say how many real solutions it has.

  3. 3
    Speed and Density2 marks

    A block has volume 105 cm^3 and density 11 g/cm^3. Work out its mass.

  4. 4
    Similar Shapes (Area and Volume)3 marks

    Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 28 cm^2. Work out the area of the larger.

  5. 5
    Conditional Probability3 marks

    26 students study Spanish and 8 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 1959, including the monthly compilation PDF.