Daily Practice

Higher

9th May 1990

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 72°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 10 in B only, 5 in both and 4 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 7, 12, 12, 10. Write down the cumulative frequency at the end of the third class.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 49.

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