Daily Practice · Higher

Daily Practice - Higher

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

16th January 2007

5 questions · 12 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 162°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 9 in B only, 12 in both and 7 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
25 beetles are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 100.

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