Daily Practice

Higher

13th December 1977

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 : 2. The larger has a volume of 160 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
50 beetles are marked and released. Later 54 are caught, of which 9 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 12/x, work out y when x = -1, and write down the equation of its vertical asymptote.

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