Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Expanding and Factorising Quadratics2 marks
Factorise x^2 - 4.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 2.
- 3Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 150°. Work out angle ABC, where B is on the major arc.
- 4Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 17 in B only, 6 in both and 9 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has minimum 13, lower quartile 21, median 31, upper quartile 36 and maximum 41. Work out the interquartile range.
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