Daily Practice · Higher

Daily Practice - Higher

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

29th October 2024

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

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 4.
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. 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 76°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 18 in B only, 4 in both and 10 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
40 newts are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.

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