Daily Practice · Higher

Daily Practice - Higher

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

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3rd May 2026

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

  1. 1
    Fractional and Negative Indices2 marks

    Write 5^-3 as a fraction.

  2. 2
    Drawing Quadratic Graphs2 marks

    For the curve y = x^2 + 4x - 3, work out y when x = 2.

  3. 3
    Direct and Inverse Proportion3 marks

    y is inversely proportional to x. When x = 2, y = 15. Work out y when x = 3.

  4. 4
    Sector Areas and Arc Lengths3 marks

    A sector of a circle has radius 9 cm and angle 60°. Work out its area, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    25 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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