Daily Practice

Higher

11th June 1991

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture3 marks
45 voles are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
2
Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 3/x, work out y when x = -1, and write down the equation of its vertical asymptote.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 4. Write y in terms of x.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1026 cm^3. Work out the volume of the smaller.

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