Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
7th October 2025
- 1Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 5. Write y in terms of x.
- 2Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 13 cm and angle 45°. Work out its area, to 1 decimal place.
- 3Conditional Probability3 marks
30 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Capture Recapture3 marks
55 fish are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
- 5Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.2424... as a fraction in its simplest form.
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