Daily Practice · Higher

Daily Practice - Higher

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

17th November 2025

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

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 81.
2
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 84°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 17 in B only, 4 in both and 6 in neither. Work out the probability a random one is in both.
5
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?

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