Daily Practice

Higher

10th May 1986

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 3x + 2.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 8.
3
The Sine Rule3 marks
In triangle ABC, angle A is 30°, angle B is 68° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 14 in B only, 4 in both and 4 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 11, lower quartile 13, median 22, upper quartile 28 and maximum 36. Work out the interquartile range.

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