Daily Practice

Higher

7th November 1953

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 64° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 8 in B only, 10 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 2, lower quartile 7, median 10, upper quartile 13 and maximum 19. Work out the interquartile range.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 3x - 40.

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