Daily Practice

Higher

29th March 1975

5 questions · 11 marks · Grades 6-7 · 61 question types in this band

1
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 17 in B only, 2 in both and 7 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 14, lower quartile 24, median 28, upper quartile 32 and maximum 35. Work out the interquartile range.
4
Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 81.

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