Daily Practice · Higher

Daily Practice - Higher

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

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2nd April 2025

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

  1. 1
    Fractional and Negative Indices2 marks

    Write 6^-3 as a fraction.

  2. 2
    Quadratic Formula3 marks

    Use the quadratic formula to solve 2x^2 - 12x + 12 = 0, to 2 decimal places.

  3. 3
    Speed and Density2 marks

    A block has volume 40 cm^3 and density 4 g/cm^3. Work out its mass.

  4. 4
    Similar Shapes (Area and Volume)3 marks

    Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 10 cm^2. Work out the area of the larger.

  5. 5
    Conditional Probability3 marks

    29 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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