Daily Practice · Higher

Daily Practice - Higher

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

17th March 2023

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 112°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 17 in B only, 7 in both and 5 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6565... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 16.

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