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20th January 1992

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

  1. 1
    Reverse Percentages3 marks

    A bill is £744 including VAT at 20%. Work out the amount before VAT.

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 10x^2 + x - 3.

  3. 3
    Repeated Percentage Change3 marks

    A price rises by 20% and then falls by 25%. 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

    1 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 January 1992, including the monthly compilation PDF.