Daily Practice

Higher

21st December 1965

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 7 : 9. Write y in terms of x.
2
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 8 cm and angle 300°. Work out its area, to 1 decimal place.
3
Conditional Probability3 marks
12 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Capture Recapture3 marks
20 fish are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
5
Reverse Percentages3 marks
A bill is £768 including VAT at 20%. Work out the amount before VAT.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1965, including the monthly compilation PDF.