Daily Practice · Higher

Daily Practice - Higher

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

15th July 2016

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 46°, angle B is 86° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 7 in B only, 8 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
4
Reverse Percentages3 marks
A bill is £216 including VAT at 20%. Work out the amount before VAT.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 3x - 54.

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