Daily Practice · Higher

Daily Practice - Higher

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

25th March 2026

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 122°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 14 in B only, 10 in both and 7 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 10, 11, 9, 10. Write down the cumulative frequency at the end of the third class.
4
Bounds2 marks
A mass is 150 kg, correct to the nearest 10. Write down the upper bound.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 16.

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