Daily Practice

Foundation

2nd January 2026

5 questions · Foundation tier · 282 questions in this band

1
Percentiles
In a class of 30 students, a student's mark is at the 90th percentile. Roughly how many students scored less than or equal to that mark?
2
Crude Rate and Rates of Change
A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.
3
Spearman's Rank Interpretation
For a class, the Spearman's rank correlation coefficient between shoe size and spelling test score is rs = 0.15. Describe the correlation.
4
Conditional Probability (Foundation)
A bag has 3 red, 4 green and 5 blue balls (12 total). One ball is removed at random and is blue. A second ball is then removed. Find P(second ball is red given the first ball was blue).
5
Estimating from Samples (Foundation)
A quality inspector samples 120 items from a batch of 15000 and finds 3 defective, but the sample was taken only from items made in the last hour of the day. Explain why her estimate might not be reliable, and give the estimate assuming the sample were representative.

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