Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
19th October 2021
- 1Capture Recapture3 marks
35 beetles are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.
- 2Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 3Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 4/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 4Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 4. Write y in terms of x.
- 5Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 513 cm^3. Work out the volume of the smaller.
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