Daily Practice

Higher

3rd December 1955

5 questions · 11 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 112°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 11 in B only, 11 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 4, lower quartile 9, median 12, upper quartile 19 and maximum 21. Work out the interquartile range.
4
The Product Rule for Counting2 marks
A meal deal has 7 mains, 8 sides and 5 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 36.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1955, including the monthly compilation PDF.