Daily Practice

Higher

4th January 1977

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 6. Write y in terms of x.
2
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 9 cm and angle 300°. Work out its area, to 1 decimal place.
3
Conditional Probability3 marks
16 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Capture Recapture3 marks
20 beetles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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