Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -20/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.
- 3Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 324 cm^3. Work out the volume of the smaller.
- 4Probability Trees3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Capture Recapture3 marks
30 newts are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
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