Daily Practice

Higher

22nd September 1953

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

1
Capture Recapture3 marks
45 beetles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
2
Fractional and Negative Indices2 marks
Write 5^-1 as a fraction.
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 20/x, work out y when x = -10, and write down the equation of its vertical asymptote.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 8. 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 54 cm^3. Work out the volume of the smaller.

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