Daily Practice

Higher

5th June 1978

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 41°, angle B is 52° and side a is 8 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, 18 in B only, 3 in both and 5 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 6x - 27.

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