Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
2nd February 2025
- 1Expanding and Factorising Quadratics2 marks
Factorise x^2 - 100.
- 2Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 4, y = 48. Work out y when x = 12.
- 3Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 142°. Work out angle ABC, where B is on the major arc.
- 4Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 11 in B only, 8 in both and 2 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has a minimum of 19 and a maximum of 74. Work out the range.
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