Daily Practice · Higher

Daily Practice - Higher

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

1st November 2025

5 questions · 11 marks · Grades 6-7 · 61 question types in this band

1
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.
2
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 7 in B only, 4 in both and 6 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 12, lower quartile 17, median 23, upper quartile 31 and maximum 34. Work out the interquartile range.
4
Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 81.

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