Daily Practice · Higher

Daily Practice - Higher

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

7th November 2025

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 9 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
4
The Product Rule for Counting2 marks
A meal deal has 7 mains, 7 sides and 5 drinks. How many different meals are possible?
5
Inequalities on Graphs2 marks
A region is defined by y <= 3x + 6. Should the boundary line be solid or dashed, and why?

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