Daily Practice · Higher

Daily Practice - Higher

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

13th August 2026

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.444... as a fraction in its simplest form.
2
Factorising Harder Quadratics3 marks
Factorise 8x^2 + 2x - 15.
3
Repeated Percentage Change3 marks
A town's population is 14500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
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
5 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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