Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
6th September 2006
- 1The Sine Rule3 marks
In triangle ABC, angle A is 46°, angle B is 48° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 4 in B only, 2 in both and 4 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
Four classes in order have frequencies 3, 6, 7, 10. Write down the cumulative frequency at the end of the third class.
- 4Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + x - 30.
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