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Numeracy Foundation November 2019 Unit 1 Q8

WJECFoundationCurrent spec5 marksFractionsGrouped Data

8. The students in Mr Griffin’s mathematics class all recorded how long they spent on their last mathematics homework.
None of his students spent less than 10 minutes on this homework.
All of his students attempted the homework.

Mr Griffin has drawn a frequency diagram to display the times recorded by his students.
He used groups of width 10 minutes:

\(10 \leqslant \text{time} \lt 20,\quad 20 \leqslant \text{time} \lt 30,\quad \text{and so on.}\)

Frequency diagram: Frequency (0 to 20) against Time (minutes, 10 to 60), bars of heights 5, 9, 11, 7 and 4 for the groups 10–20, 20–30, 30–40, 40–50 and 50–60
(a)

Did any student get all their mathematics homework correct?

Yes ☐    No ☐    Can’t tell ☐

You must give a reason for your answer. [1]

(b) How many students are there in Mr Griffin’s mathematics class? [2]
(c) Consider the students who spent less than 40 minutes on their homework.
What fraction of these students spent 30 minutes or more on their homework? [2]
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