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 106°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 9 in B only, 12 in both and 3 in neither. Work out the probability a random one is in both.
- 3Capture Recapture3 marks
15 beetles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 4Standard Form3 marks
Work out (48 x 10^12) / (6 x 10^2). Give your answer in standard form.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 25.
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