Daily Practice · Higher

Daily Practice - Higher

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

12th October 2025

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 4x - 45.
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 8, y = 30. Work out y when x = 5.
3
The Sine Rule3 marks
In triangle ABC, angle A is 71°, angle B is 38° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 16 in B only, 8 in both and 2 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has a minimum of 6 and a maximum of 40. Work out the range.

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