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25th January 1967

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Fractional and Negative Indices2 marks

    Write 4^-2 as a fraction.

  2. 2
    Drawing Quadratic Graphs2 marks

    For the curve y = x^2 - 3x - 8, work out y when x = -2.

  3. 3
    Speed and Density2 marks

    A block has volume 135 cm^3 and density 7.5 g/cm^3. Work out its mass.

  4. 4
    Sector Areas and Arc Lengths3 marks

    A sector of a circle has radius 8 cm and angle 120°. Work out its area, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    25 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 January 1967, including the monthly compilation PDF.