Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th October 2003
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 15 are in A only, 10 in B only, 10 in both and 2 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 15, lower quartile 18, median 25, upper quartile 32 and maximum 41. Work out the interquartile range.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.777... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 144.
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