Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd January 2011
- 1Expanding and Factorising Quadratics3 marks
Factorise x^2 + 13x + 42.
- 2Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 6, y = 15. Work out y when x = 3.
- 3The Sine Rule3 marks
In triangle ABC, angle A is 59°, angle B is 48° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 12 in B only, 12 in both and 4 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has a minimum of 12 and a maximum of 29. Work out the range.
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