Daily Practice

Higher

13th January 1990

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 5x - 6.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 5.
3
The Sine Rule3 marks
In triangle ABC, angle A is 50°, angle B is 49° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 9 in B only, 11 in both and 1 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 2, lower quartile 6, median 10, upper quartile 20 and maximum 26. Work out the interquartile range.

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