Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

18th December 2007

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 140°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 17 in B only, 4 in both and 5 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
55 newts are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 7 mains, 6 sides and 2 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 49.

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