Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
15th August 2001
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 7 in B only, 12 in both and 5 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
Four classes in order have frequencies 6, 4, 4, 10. Write down the cumulative frequency at the end of the third class.
- 4Surds2 marks
Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 5Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x - 1)(x + 1).
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