Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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24th September 2026

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

  1. 1
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.8181... as a fraction in its simplest form.

  2. 2
    Drawing Quadratic Graphs2 marks

    For the curve y = x^2 + 4x + 10, work out y when x = 1.

  3. 3
    Repeated Percentage Change3 marks

    A town's population is 16000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.

  4. 4
    Sector Areas and Arc Lengths3 marks

    A sector of a circle has radius 6 cm and angle 180°. Work out its area, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    19 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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