Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 130°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 4 in B only, 9 in both and 10 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 1, lower quartile 3, median 6, upper quartile 14 and maximum 20. Work out the interquartile range.
- 4Standard Form2 marks
Work out (6 x 10^7) x (9 x 10^2). Give your answer in standard form.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 4.
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