Daily Practice · Higher

Daily Practice - Higher

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

9th December 2011

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 30°, angle B is 39° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 16 in B only, 10 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
4
The Product Rule for Counting2 marks
A meal deal has 9 mains, 4 sides and 5 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 15x + 54.

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