Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

14th February 2006

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 114°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 16 in B only, 11 in both and 2 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
55 newts are marked and released. Later 88 are caught, of which 8 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 8^(2/3).
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 64.

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