Daily Practice

Higher

6th April 1991

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

1
Box Plots2 marks
A box plot has minimum 7, lower quartile 13, median 16, upper quartile 18 and maximum 22. Work out the interquartile range.
2
Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
3
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 9x + 20.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 2.
5
The Sine Rule3 marks
In triangle ABC, angle A is 40°, angle B is 44° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.

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