Daily Practice · Higher

Daily Practice - Higher

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

14th October 2025

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1920 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 5 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
15 fish are marked and released. Later 14 are caught, of which 2 are marked. Estimate the population.
4
Standard Form3 marks
Work out (42 x 10^12) / (6 x 10^5). Give your answer in standard form.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 1/x, work out y when x = -1, and write down the equation of its vertical asymptote.

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