Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
31st March 2018
- 1The Sine Rule3 marks
In triangle ABC, angle A is 70°, angle B is 79° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 14 in B only, 11 in both and 6 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 4, lower quartile 7, median 17, upper quartile 19 and maximum 27. 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 - 5x - 6.
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