Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
14th January 2012
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 8 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 8, lower quartile 16, median 22, upper quartile 29 and maximum 33. Work out the interquartile range.
- 4The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 4.
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