Daily Practice · Higher

Daily Practice - Higher

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

2nd January 2026

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

1
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
2
Fractional and Negative Indices2 marks
Write 8^-3 as a fraction.
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -40/x, work out y when x = -4, and write down the equation of its vertical asymptote.
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 36. Work out y when x = 6.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 729 cm^3. Work out the volume of the smaller.

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 2026, including the monthly compilation PDF.