Daily Practice

Higher

12th January 1988

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 49.
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 5. Write y in terms of x.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 7 in B only, 11 in both and 3 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
10 voles are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.

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