Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Expanding and Factorising Quadratics3 marks
Factorise x^2 + 10x + 16.
- 2Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 10.
- 3The Sine Rule3 marks
In triangle ABC, angle A is 61°, angle B is 69° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 5 in B only, 2 in both and 8 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has a minimum of 18 and a maximum of 30. Work out the range.
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