Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
3rd November 2009
- 1Capture Recapture3 marks
50 newts are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 2Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.555... as a fraction in its simplest form.
- 3Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 4Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 7. Write y in terms of x.
- 5Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 256 cm^3. Work out the volume of the smaller.
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