Daily Practice

Higher

30th September 1961

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

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 100.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 3.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 114°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 11 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 14, lower quartile 19, median 24, upper quartile 33 and maximum 42. Work out the interquartile range.

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