Daily Practice · Higher

Daily Practice - Higher

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

4th January 2026

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

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 81.
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 12.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 128°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 11 in B only, 6 in both and 6 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has a minimum of 5 and a maximum of 54. Work out the range.

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