Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
20th August 2025
- 1Speed and Density2 marks
A block has volume 190 cm^3 and density 3 g/cm^3. Work out its mass.
- 2Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 4 cm and angle 45°. Work out its area, to 1 decimal place.
- 3Conditional Probability3 marks
15 students study Spanish and 9 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 7, 10, 8, 11. Write down the cumulative frequency at the end of the third class.
- 5Standard Form3 marks
Work out (12 x 10^9) / (6 x 10^5). Give your answer in standard form.
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