Daily Practice · Higher

Daily Practice - Higher

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

3rd November 2020

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 162°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 3 in B only, 2 in both and 1 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
40 voles are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
4
Standard Form2 marks
Work out (8 x 10^6) x (7 x 10^5). Give your answer in standard form.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 49.

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