Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

28th July 2009

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 73°, angle B is 54° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 15 are in A only, 8 in B only, 10 in both and 9 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
50 newts are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 3x - 10.

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