Daily Practice · Higher

Daily Practice - Higher

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

1st August 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 74°, angle B is 60° 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, 8 are in A only, 7 in B only, 7 in both and 4 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 7x - 8.

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