Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
3rd January 1998
- 1The Sine Rule3 marks
In triangle ABC, angle A is 63°, angle B is 43° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 10 in B only, 8 in both and 9 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 14, lower quartile 19, median 24, upper quartile 28 and maximum 36. Work out the interquartile range.
- 4Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 9x + 20.
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