Daily Practice · Higher

Daily Practice - Higher

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

10th September 2019

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 67°, angle B is 81° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 13 in B only, 8 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
40 fish are marked and released. Later 88 are caught, of which 8 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 9x + 20.

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