Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Expanding and Factorising Quadratics3 marks
Factorise x^2 + 4x - 21.
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 5. Write y in terms of x.
- 3The Sine Rule3 marks
In triangle ABC, angle A is 49°, angle B is 32° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 12 in B only, 9 in both and 7 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
25 newts are marked and released. Later 24 are caught, of which 3 are marked. Estimate the population.
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