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15th June 1987

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

  1. 1
    The Product Rule for Counting2 marks

    A meal deal has 8 mains, 5 sides and 5 drinks. How many different meals are possible?

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 10x^2 - 13x - 30.

  3. 3
    Repeated Percentage Change3 marks

    A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.

  4. 4
    Spheres and Cones3 marks

    A sphere has radius 18 cm. Work out its volume, leaving your answer in terms of pi.

  5. 5
    Probability Trees3 marks

    4 of 7 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 June 1987, including the monthly compilation PDF.