Daily Practice

Higher

26th August 1967

5 questions · 13 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 75° and side a is 14 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, 6 in B only, 2 in both and 7 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 12, lower quartile 16, median 21, upper quartile 27 and maximum 33. Work out the interquartile range.
4
Surds2 marks
Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 7x - 8.

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