Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Expanding and Factorising Quadratics2 marks
Factorise x^2 - 36.
- 2Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 8, y = 48. Work out y when x = 12.
- 3Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 152°. Work out angle ABC, where B is on the major arc.
- 4Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 15 in B only, 12 in both and 3 in neither. Work out the probability a random one is in both.
- 5Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
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