Daily Practice

Higher

27th November 1972

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 75°, angle B is 54° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 17 in B only, 12 in both and 1 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 44 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 6 mains, 6 sides and 6 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 16x + 63.

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