Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
30th December 2025
- 1Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 7. Write y in terms of x.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 4 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
21 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Capture Recapture3 marks
60 newts are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
- 5Standard Form3 marks
Work out (30 x 10^7) / (6 x 10^2). Give your answer in standard form.
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