Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
18th September 2024
- 1Speed and Density2 marks
A block has volume 180 cm^3 and density 11 g/cm^3. Work out its mass.
- 2Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 15 cm and angle 90°. Work out its area, to 1 decimal place.
- 3Conditional Probability3 marks
15 students study Spanish and 7 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 3, 3, 12, 4. Write down the cumulative frequency at the end of the third class.
- 5The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
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