Daily Practice · Higher

Daily Practice - Higher

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

15th July 2026

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

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 144.
2
Speed and Density2 marks
A block has volume 80 cm^3 and density 11 g/cm^3. Work out its mass.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 142°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 12 in B only, 8 in both and 2 in neither. Work out the probability a random one is in both.
5
Cumulative Frequency2 marks
Four classes in order have frequencies 6, 8, 10, 3. Write down the cumulative frequency at the end of the third class.

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