Daily Practice

Higher

8th October 1977

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 65°, angle B is 57° and side a is 7 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, 18 in B only, 10 in both and 5 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 8, lower quartile 13, median 23, upper quartile 28 and maximum 31. 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 + 4x - 5.

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