Daily Practice

Higher

28th December 1989

5 questions · 14 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 71° 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, 3 are in A only, 7 in B only, 3 in both and 6 in neither. Work out the probability a random one is in both.
3
Histograms2 marks
A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - x - 20.

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