Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
11th June 2025
- 1Probability Trees3 marks
3 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2Cumulative Frequency2 marks
Four classes in order have frequencies 12, 8, 12, 4. Write down the cumulative frequency at the end of the third class.
- 3Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 4Simultaneous Equations3 marks
4 teas and 1 cake cost £7.35. 1 tea and 2 cakes cost £5.95. Find the price of a tea.
- 5Speed and Density2 marks
A block has volume 70 cm^3 and density 3 g/cm^3. Work out its mass.
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