Daily Practice · Higher

Daily Practice - Higher

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

3rd March 2025

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 4x^2 + 8x - 5.
3
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
4
Spheres and Cones3 marks
A sphere has radius 18 cm. Work out its volume, leaving your answer in terms of pi.
5
Probability Trees3 marks
2 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of March 2025, including the monthly compilation PDF.