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25th September 1995

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Fractional and Negative Indices3 marks

    Work out 49^(3/2).

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 15x^2 + 2x - 8.

  3. 3
    Repeated Percentage Change3 marks

    A price rises by 10% 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 6 cm. Work out its volume, leaving your answer in terms of pi.

  5. 5
    Probability Trees3 marks

    8 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 September 1995, including the monthly compilation PDF.