Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
6th August 2005
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 110°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 7 in B only, 12 in both and 2 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 6, lower quartile 9, median 19, upper quartile 26 and maximum 28. Work out the interquartile range.
- 4Surds2 marks
Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 4.
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