Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
13th February 2023
- 1Expanding and Factorising Quadratics2 marks
Factorise x^2 - 25.
- 2Repeated Percentage Change3 marks
A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
- 4Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 13 in B only, 5 in both and 10 in neither. Work out the probability a random one is in both.
- 5Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
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