Daily Practice · Higher

Daily Practice - Higher

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

28th January 2023

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

1
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 114°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 5 in B only, 12 in both and 2 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 5, lower quartile 10, median 12, upper quartile 21 and maximum 24. Work out the interquartile range.
4
Standard Form3 marks
Work out (25 x 10^12) / (5 x 10^4). Give your answer in standard form.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 9.

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