Daily Practice · Higher

Daily Practice - Higher

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

14th August 2026

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

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -4/x, work out y when x = 4, and write down the equation of its vertical asymptote.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 12. Work out y when x = 13.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 512 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.

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