Daily Practice · Higher

Daily Practice - Higher

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

15th September 2026

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 : 3. The larger has a volume of 243 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
15 voles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.555... as a fraction in its simplest form.
5
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.

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