Daily Practice

Higher

14th August 1962

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

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 3. Write y in terms of x.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1026 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture3 marks
30 voles are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.

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