Daily Practice · Higher

Daily Practice - Higher

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

25th August 2025

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 9x + 14.
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
The Sine Rule3 marks
In triangle ABC, angle A is 51°, angle B is 86° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 18 in B only, 2 in both and 10 in neither. Work out the probability a random one is in both.
5
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?

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