Daily Practice · Higher

Daily Practice - Higher

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

3rd July 2023

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 66°, angle B is 48° and side a is 18 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, 9 in B only, 10 in both and 6 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
The Product Rule for Counting2 marks
A meal deal has 8 mains, 8 sides and 5 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 18x + 81.

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