Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
24th October 2006
- 1The Sine Rule3 marks
In triangle ABC, angle A is 75°, angle B is 44° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 5 in B only, 3 in both and 5 in neither. Work out the probability a random one is in both.
- 3Capture Recapture3 marks
20 beetles are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.
- 4Standard Form3 marks
Work out (18 x 10^7) / (6 x 10^4). Give your answer in standard form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 8x + 7.
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