Daily Practice

Higher

11th August 1956

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 36°, angle B is 75° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 7 in B only, 5 in both and 2 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 9, lower quartile 17, median 22, upper quartile 29 and maximum 31. Work out the interquartile range.
4
Fractional and Negative Indices3 marks
Work out 36^(3/2).
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 7x + 12.

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