Daily Practice

Higher

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11th January 1989

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

  1. 1
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.444... as a fraction in its simplest form.

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 6x^2 - 7x + 2.

  3. 3
    Speed and Density2 marks

    A block has volume 140 cm^3 and density 2.5 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

    1 of 6 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 1989, including the monthly compilation PDF.