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13th December 1989

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

  1. 1
    Fractional and Negative Indices3 marks

    Work out 100^(3/2).

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 8x^2 - 6x - 9.

  3. 3
    Speed and Density2 marks

    A block has volume 165 cm^3 and density 3 g/cm^3. Work out its mass.

  4. 4
    Spheres and Cones3 marks

    A sphere has radius 12 cm. Work out its volume, leaving your answer in terms of pi.

  5. 5
    Probability Trees3 marks

    3 of 5 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 December 1989, including the monthly compilation PDF.