Daily Practice

Higher

25th March 1986

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
20 beetles are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.777... as a fraction in its simplest form.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -90/x, work out y when x = -10, and write down the equation of its vertical asymptote.

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