Daily Practice · Higher

Daily Practice - Higher

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

10th August 2018

5 questions · 11 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, 18 are in A only, 18 in B only, 9 in both and 8 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
4
Surds2 marks
Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 4.

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