Information and IdeasVery hardRecognising a proportion that stayed constant
Information and Ideas practice question
A school's enrolment and its number of teachers:
2010: 600 students, 30 teachers
2015: 720 students, 36 teachers
2020: 900 students, 45 teachers
Which statement is best supported by the data?
- A. Although both students and teachers increased, the number of students per teacher stayed at 20.Correct
- B. The number of students per teacher rose over the period.
- C. The number of students per teacher fell over the period.
- D. The number of teachers doubled between 2010 and 2020.
Answer: A. Although both students and teachers increased, the number of students per teacher stayed at 20.
600/30 = 720/36 = 900/45 = 20 each year.
Why the other answers are wrong
- B. The number of students per teacher rose over the period.
- The ratio is 20 in every year.
- C. The number of students per teacher fell over the period.
- The ratio is 20 in every year.
- D. The number of teachers doubled between 2010 and 2020.
- 45 is 1.5 times 30, not double.
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