Daily Practice · Higher

Daily Practice - Higher

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

6th October 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Inequalities on Graphs2 marks
A region is defined by y <= -4x + 4. Should the boundary line be solid or dashed, and why?
2
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
3
Spheres and Cones3 marks
A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
4
Probability Trees3 marks
A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?

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