Daily Practice

Higher

17th March 1989

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture2 marks
A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
2
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -120/x, work out y when x = 10, and write down the equation of its vertical asymptote.
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 45. Work out y when x = 14.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 918 cm^3. Work out the volume of the smaller.

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