Daily Practice

Higher

5th September 1981

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 144°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 4 in B only, 4 in both and 3 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 5, lower quartile 15, median 23, upper quartile 26 and maximum 28. Work out the interquartile range.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 25.

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