Daily Practice

Higher

4th January 1975

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 40°, angle B is 63° and side a is 18 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, 10 in B only, 7 in both and 8 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 3, lower quartile 13, median 18, upper quartile 24 and maximum 33. Work out the interquartile range.
4
Standard Form3 marks
Work out (35 x 10^7) / (7 x 10^2). Give your answer in standard form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 6x - 16.

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