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6th July 1983

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

  1. 1
    Fractional and Negative Indices2 marks

    Write 3^-3 as a fraction.

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 8x^2 + 6x + 1.

  3. 3
    Speed and Density2 marks

    A block has volume 140 cm^3 and density 11 g/cm^3. Work out its mass.

  4. 4
    Spheres and Cones3 marks

    A sphere has radius 6 cm. Work out its volume, leaving your answer in terms of pi.

  5. 5
    Probability Trees3 marks

    1 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of July 1983, including the monthly compilation PDF.