Daily Practice

Higher

6th July 1971

5 questions · 13 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 891 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
60 fish are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
4
Standard Form2 marks
Work out (9 x 10^4) x (9 x 10^-5). Give your answer in standard form.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -18/x, work out y when x = 2, and write down the equation of its vertical asymptote.

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