Daily Practice · Higher

Daily Practice - Higher

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

21st January 2022

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 70°, angle B is 30° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 5 in B only, 2 in both and 7 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
4
The Product Rule for Counting2 marks
A meal deal has 4 mains, 6 sides and 6 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 6x + 9.

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