Daily Practice · Higher

Daily Practice - Higher

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

11th August 2020

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 37°, angle B is 89° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 3 in B only, 2 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
55 beetles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 9 mains, 8 sides and 2 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 5x - 14.

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