Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
3rd January 2014
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 132°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 18 in B only, 5 in both and 5 in neither. Work out the probability a random one is in both.
- 3Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 4Reverse Percentages3 marks
A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 100.
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