Daily Practice · Higher

Daily Practice - Higher

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

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22nd December 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Fractional and Negative Indices2 marks

    Write 9^-2 as a fraction.

  2. 2
    Solving Quadratics3 marks

    Solve x^2 - x - 30 = 0.

  3. 3
    Repeated Percentage Change3 marks

    A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.

  4. 4
    Perpendicular Lines and the equation of a tangent2 marks

    A line has gradient 3. Work out the gradient of a line perpendicular to it.

  5. 5
    Conditional Probability3 marks

    13 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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