Daily Practice · Higher

Daily Practice - Higher

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

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19th July 2025

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

  1. 1
    Fractional and Negative Indices3 marks

    Work out 16^(3/2).

  2. 2
    Drawing Quadratic Graphs2 marks

    For the curve y = x^2 - x - 1, work out y when x = 1.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 9.

  4. 4
    Sector Areas and Arc Lengths3 marks

    A sector of a circle has radius 12 cm and angle 240°. Work out its area, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    20 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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