Daily Practice · Higher

Daily Practice - Higher

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

9th December 2025

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

1
Capture Recapture3 marks
10 fish are marked and released. Later 14 are caught, of which 2 are marked. Estimate the population.
2
Fractional and Negative Indices3 marks
Work out 49^(3/2).
3
Inequalities on Graphs2 marks
A region is defined by y <= x - 3. Should the boundary line be solid or dashed, and why?
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 5. Write y in terms of x.
5
Spheres and Cones3 marks
A cone has base radius 5 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.

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 December 2025, including the monthly compilation PDF.