Daily Practice

Higher

25th July 1989

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 104°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 15 in B only, 9 in both and 1 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
45 voles are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
4
Fractional and Negative Indices2 marks
Write 6^-1 as a fraction.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 100.

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