Daily Practice

Higher

22nd September 1987

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 64°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 9 in B only, 10 in both and 3 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
30 newts are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 4 mains, 9 sides and 5 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 144.

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