Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
15th February 2013
- 1Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 2Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 3Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -80/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 4Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 8, y = 32. Work out y when x = 9.
- 5Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 540 cm^3. Work out the volume of the smaller.
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