Daily Practice

Higher

22nd October 1963

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 104°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 16 in B only, 10 in both and 1 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
10 newts are marked and released. Later 49 are caught, of which 7 are marked. Estimate the population.
4
Standard Form3 marks
Work out (16 x 10^10) / (4 x 10^3). Give your answer in standard form.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 9.

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