Daily Practice

Higher

16th March 1971

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

1
Capture Recapture3 marks
45 voles are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
2
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -24/x, work out y when x = 4, and write down the equation of its vertical asymptote.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 9. 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 270 cm^3. Work out the volume of the smaller.

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