Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
12th November 2025
- 1Speed and Density2 marks
A block has volume 85 cm^3 and density 4 g/cm^3. Work out its mass.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 8 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
25 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Cumulative Frequency2 marks
Four classes in order have frequencies 6, 8, 4, 8. Write down the cumulative frequency at the end of the third class.
- 5Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
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