Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd July 2013
- 1Expanding and Factorising Quadratics3 marks
Factorise x^2 - 13x + 42.
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 9. Write y in terms of x.
- 3The Sine Rule3 marks
In triangle ABC, angle A is 61°, angle B is 70° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 4 in B only, 4 in both and 9 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
45 newts are marked and released. Later 28 are caught, of which 4 are marked. Estimate the population.
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