Daily Practice · Higher

Daily Practice - Higher

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

16th May 2000

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 79°, angle B is 43° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 17 in B only, 5 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
20 beetles are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 6 mains, 5 sides and 3 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 3x + 2.

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