Daily Practice

Higher

23rd October 1990

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 9. Write y in terms of x.
2
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 15 cm and angle 240°. Work out its area, to 1 decimal place.
3
Conditional Probability3 marks
26 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Capture Recapture3 marks
45 beetles are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
5
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.

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