Daily Practice · Higher

Daily Practice - Higher

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

21st October 2005

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 4x - 5.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 5, y = 10. Work out y when x = 6.
3
The Sine Rule3 marks
In triangle ABC, angle A is 65°, angle B is 81° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 18 in B only, 5 in both and 8 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.

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