Daily Practice · Higher

Daily Practice - Higher

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

12th December 2023

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 2048 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 7 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
50 beetles are marked and released. Later 20 are caught, of which 4 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £960 including VAT at 20%. Work out the amount before VAT.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 32/x, work out y when x = 4, and write down the equation of its vertical asymptote.

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