Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
28th January 2025
- 1Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 6. Write y in terms of x.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 4 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
18 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
15 fish are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 5The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
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