Daily Practice · Higher

Daily Practice - Higher

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

8th August 2023

5 questions · 13 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 126°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 13 in B only, 12 in both and 5 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
10 voles are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 64.

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