Daily Practice

Higher

22nd November 1957

5 questions · 11 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 104°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 9 in B only, 7 in both and 6 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
4
Surds2 marks
Write sqrt(75) 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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