Daily Practice · Higher

Daily Practice - Higher

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

25th July 2025

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

1
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
2
Factorising Harder Quadratics3 marks
Factorise 5x^2 + 14x + 8.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 72. Work out y when x = 3.
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
1 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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