Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
31st October 2007
- 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, 5 are in A only, 7 in B only, 2 in both and 5 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
Four classes in order have frequencies 10, 4, 3, 3. Write down the cumulative frequency at the end of the third class.
- 4Standard Form2 marks
Work out (5 x 10^7) x (2 x 10^-3). Give your answer in standard form.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 9.
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