Daily Practice

Higher

18th March 1961

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 80°, angle B is 47° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 11 in B only, 12 in both and 1 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 4, lower quartile 8, median 10, upper quartile 12 and maximum 19. Work out the interquartile range.
4
Standard Form2 marks
Work out (4 x 10^5) x (8 x 10^-2). Give your answer in standard form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 10x + 21.

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