Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
28th April 2015
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 6 in B only, 10 in both and 6 in neither. Work out the probability a random one is in both.
- 3Capture Recapture3 marks
25 beetles are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 64.
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