Daily Practice · Higher

Daily Practice - Higher

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

5th November 2025

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 5)(x - 3)(x + 1).
2
Speed and Density2 marks
A block has volume 85 cm^3 and density 11 g/cm^3. Work out its mass.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 15 are in A only, 18 in B only, 3 in both and 8 in neither. Work out the probability a random one is in both.
5
Cumulative Frequency2 marks
Four classes in order have frequencies 3, 11, 9, 11. Write down the cumulative frequency at the end of the third class.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of November 2025, including the monthly compilation PDF.