Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
12th February 2011
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 5 in B only, 12 in both and 10 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 9, lower quartile 13, median 20, upper quartile 30 and maximum 35. Work out the interquartile range.
- 4Reverse Percentages3 marks
A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 16.
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