Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
19th October 2016
- 1The Sine Rule3 marks
In triangle ABC, angle A is 62°, angle B is 70° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 13 in B only, 12 in both and 8 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
Four classes in order have frequencies 11, 9, 11, 8. Write down the cumulative frequency at the end of the third class.
- 4Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 - 6x - 27.
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