Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 102°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 16 in B only, 4 in both and 2 in neither. Work out the probability a random one is in both.
- 3Capture Recapture3 marks
20 voles are marked and released. Later 28 are caught, of which 4 are marked. Estimate the population.
- 4Standard Form3 marks
Work out (8 x 10^7) / (4 x 10^5). Give your answer in standard form.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 144.
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