Daily Practice · Higher

Daily Practice - Higher

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

6th March 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 30°, angle B is 96° and side a is 5 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, 11 in both and 1 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
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.666... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - x - 2.

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