Daily Practice

Higher

22nd December 1987

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

1
Conditional Probability3 marks
13 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
2
Capture Recapture3 marks
20 beetles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
3
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Quadratic Formula3 marks
Work out the discriminant of x^2 + 3x + 10 = 0 and say how many real solutions it has.
5
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1987, including the monthly compilation PDF.