Daily Practice

Higher

3rd February 2025

5 questions · Higher tier · 360 questions in this band

1
Regression and the PMCC
A regression line y = 12 + 1.5x is used to predict y when x = 200, even though the original x-values ranged only from 5 to 20. Explain why this prediction may be unreliable.
2
Stratified Sampling (Higher)
A youth club has 60 juniors and 90 seniors (150 total). A stratified sample of 30 is taken. How many juniors are sampled?
3
Capture Recapture
Explain why the capture-recapture method requires the marked animals to have time to mix randomly with the rest of the population before the second sample is caught.
4
Crude and Standardised Rates
Using a standard population of 50,000, the total expected number of deaths, summed across all age bands, for Town B is 400. Calculate the standardised death rate per 1000.
5
Conditional Probability (Higher)
A class of 30 students has 18 who study French. Of those, 10 also study Spanish. Find P(studies Spanish given studies French).

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 February 2025, including the monthly compilation PDF.