Daily Practice · Higher

Daily Practice - Higher

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

19th August 2026

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

1
Fractional and Negative Indices3 marks
Work out 125^(2/3).
2
Solving Quadratics3 marks
Solve x^2 + 4x - 32 = 0.
3
Speed and Density2 marks
A block has volume 195 cm^3 and density 11 g/cm^3. Work out its mass.
4
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -4. Work out the gradient of a line perpendicular to it.
5
Conditional Probability3 marks
20 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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