Daily Practice

Higher

6th October 1982

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 61°, angle B is 75° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 16 in B only, 8 in both and 7 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 7, 3, 4, 11. Write down the cumulative frequency at the end of the third class.
4
The Product Rule for Counting3 marks
A code is 2 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 - 2x - 3.

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