Daily Practice

Higher

16th February 1985

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 34°, angle B is 39° and side a is 20 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, 4 in B only, 8 in both and 4 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 8, lower quartile 12, median 14, upper quartile 19 and maximum 27. Work out the interquartile range.
4
Standard Form3 marks
Work out (27 x 10^9) / (9 x 10^4). Give your answer in standard form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 10x + 9.

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