Daily Practice · Higher

Daily Practice - Higher

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

14th September 2026

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

1
Repeated Percentage Change3 marks
A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
2
Spheres and Cones3 marks
A sphere has radius 6 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
2 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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