Daily Practice

Higher

8th October 1982

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
2
Surds2 marks
Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 60/x, work out y when x = -5, and write down the equation of its vertical asymptote.
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 12. Work out y when x = 7.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 384 cm^3. Work out the volume of the smaller.

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