Daily Practice

Higher

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2nd January 1968

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

  1. 1
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.3737... as a fraction in its simplest form.

  2. 2
    Factorising Harder Quadratics3 marks

    Factorise 15x^2 + 32x + 16.

  3. 3
    Writing a Ratio as a Fraction or Linear Function2 marks

    x : y = 5 : 6. Write y in terms of x.

  4. 4
    Spheres and Cones3 marks

    A sphere has radius 3 cm. Work out its volume, leaving your answer in terms of pi.

  5. 5
    Probability Trees3 marks

    5 of 8 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 1968, including the monthly compilation PDF.