Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
20th November 2015
- 1Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 2Fractional and Negative Indices2 marks
Write 5^-2 as a fraction.
- 3Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -6/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 4Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 81. Work out y when x = 5.
- 5Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
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