Daily Practice

Higher

19th December 1961

5 questions · 13 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 58°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 7 in B only, 6 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
60 fish are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £960 including VAT at 20%. Work out the amount before VAT.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 9.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1961, including the monthly compilation PDF.