Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
29th June 2010
- 1The Sine Rule3 marks
In triangle ABC, angle A is 61°, angle B is 55° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 11 in B only, 4 in both and 7 in neither. Work out the probability a random one is in both.
- 3Capture Recapture3 marks
35 beetles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.
- 4The Product Rule for Counting2 marks
A meal deal has 6 mains, 8 sides and 3 drinks. How many different meals are possible?
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 8x - 9.
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