Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
25th September 2023
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 70°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 18 in B only, 3 in both and 1 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4Standard Form2 marks
Work out (3 x 10^7) x (5 x 10^-4). Give your answer in standard form.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 36.
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