Daily Practice · Higher

Daily Practice - Higher

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

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20th March 2026

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

  1. 1
    Conditional Probability3 marks

    13 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

  2. 2
    Capture Recapture2 marks

    A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.

  3. 3
    Fractional and Negative Indices2 marks

    Write 2^-1 as a fraction.

  4. 4
    Quadratic Formula3 marks

    Use the quadratic formula to solve 4x^2 + 7x - 9 = 0, to 2 decimal places.

  5. 5
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 7, y = 42. Work out y when x = 3.

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