Daily Practice

Higher

7th April 1990

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 25.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 6.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 3 in B only, 6 in both and 6 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 7, lower quartile 11, median 16, upper quartile 19 and maximum 24. Work out the interquartile range.

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