Daily Practice · Higher

Daily Practice - Higher

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

2nd February 2026

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 36^(3/2).
2
Factorising Harder Quadratics3 marks
Factorise 20x^2 + 27x + 9.
3
Repeated Percentage Change3 marks
A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
4
Spheres and Cones3 marks
A sphere has radius 6 cm. Work out its volume, leaving your answer in terms of pi.
5
Probability Trees3 marks
4 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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