Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

22nd March 2025

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 144.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 3.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 120°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 17 in B only, 6 in both and 4 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 6, lower quartile 13, median 17, upper quartile 24 and maximum 27. Work out the interquartile range.

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