Daily Practice

Higher

23rd March 1967

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 124°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 13 in B only, 7 in both and 10 in neither. Work out the probability a random one is in both.
3
Histograms2 marks
A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
4
The Product Rule for Counting3 marks
A code is 2 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 - 81.

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