Daily Practice

Higher

2nd February 1974

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 46°, angle B is 53° and side a is 16 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, 18 in B only, 9 in both and 7 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 13, lower quartile 15, median 23, upper quartile 31 and maximum 41. Work out the interquartile range.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 9x + 14.

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