Daily Practice

Higher

20th August 1959

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 38°, angle B is 87° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 6 in B only, 12 in both and 6 in neither. Work out the probability a random one is in both.
3
Histograms2 marks
A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
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 + 3x - 28.

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