Daily Practice

Higher

23rd August 1977

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

1
Capture Recapture3 marks
35 voles are marked and released. Later 48 are caught, of which 8 are marked. Estimate the population.
2
The Product Rule for Counting3 marks
A code is 3 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 = 6/x, work out y when x = 1, and write down the equation of its vertical asymptote.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 3. Write y in terms of x.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 120 cm^3. Work out the volume of the smaller.

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