Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Speed and Density2 marks
A block has volume 105 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 2Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 3 cm and angle 240°. Work out its area, to 1 decimal place.
- 3Conditional Probability3 marks
20 students study Spanish and 3 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, 9, 4, 9. Write down the cumulative frequency at the end of the third class.
- 5Fractional and Negative Indices3 marks
Work out 27^(2/3).
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