Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Expanding and Factorising Quadratics3 marks
Factorise x^2 + 9x + 8.
- 2Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 70. Work out y when x = 8.
- 3The Sine Rule3 marks
In triangle ABC, angle A is 68°, angle B is 38° 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, 8 are in A only, 6 in B only, 8 in both and 8 in neither. Work out the probability a random one is in both.
- 5Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
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