Daily Practice · Higher

Daily Practice - Higher

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

21st January 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x - 4)(x + 1).
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 17 in B only, 9 in both and 5 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
60 voles are marked and released. Later 90 are caught, of which 9 are marked. Estimate the population.

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 January 2025, including the monthly compilation PDF.