Daily Practice · Higher

Daily Practice - Higher

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

17th July 2022

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices2 marks
Write 7^-3 as a fraction.
2
Factorising Harder Quadratics3 marks
Factorise 6x^2 + 25x + 25.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 4, y = 12. Work out y when x = 2.
4
Spheres and Cones3 marks
A sphere has radius 3 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.

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 July 2022, including the monthly compilation PDF.