Daily Practice

Higher

21st November 1987

5 questions · 13 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 69° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 4 in B only, 2 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 5, lower quartile 14, median 19, upper quartile 29 and maximum 33. Work out the interquartile range.
4
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 12x + 27.

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