Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
16th February 2008
- 1The Sine Rule3 marks
In triangle ABC, angle A is 61°, angle B is 44° 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, 15 in B only, 10 in both and 5 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 12, lower quartile 20, median 28, upper quartile 31 and maximum 37. Work out the interquartile range.
- 4Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 2x - 8.
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