Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
20th July 2022
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 152°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 12 in B only, 8 in both and 7 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
Four classes in order have frequencies 11, 5, 5, 7. Write down the cumulative frequency at the end of the third class.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.111... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 4.
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