The answer
(a) 15.5 hours
(b) No, Rishi is incorrect
O-Level E-Math 2024 Paper 1 Question 4 · Verified worked solution by the Genius Plus Academy teaching team
What this question tests
This is Question 4 of the O-Level E-Math 2024 Paper 1. It tests box-and-whisker plot, in the Data analysis area. It is worth 2 marks: (a) 1, (b) 1. It is a worded / diagram-based question, so open your Ten-Year Series (TYS) or the official paper at this question, then follow our full worked solution below.
(a) The median is the vertical line inside the box, read off the scale as \(15.5\) hours.
(b) "More than 20 hours" means above the upper quartile (\(Q_3 = 20\)), which is \(25\%\) of the adults (\(\approx 30\) people). "Less than 12.5 hours" means below the lower quartile (\(Q_1 = 12.5\)), which is also \(25\%\) of the adults (\(\approx 30\) people). The two groups are the same size (a quarter each), not nearly double, so Rishi is incorrect.
Answer: (a) 15.5 hours
(b) No, Rishi is incorrect
Same structure, different numbers
Swap the constants, dress a quadratic as a length, hide a derivative inside an integral, and a student sees a brand new problem. The structure underneath is the same, and so is the method. Once a student can name the structure, a whole row of questions that look different start to open the same way.
That is where marks really leak: in choosing the method, not in the algebra that follows. We call it Lock and Key, name the lock, then the key follows.
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Genius Plus Academy · O-Level & IP Mathematics
Our O-Level E-Math tuition trains the same recognise-the-structure method these worked solutions show, taught by a team that has marked these papers for years. It runs within our weekly Secondary Math programme, Sec 1 to 4 and IP.
It is a box-and-whisker plot question from Data analysis, worth 2 marks: (a) 1, (b) 1.
Yes. IP (Integrated Programme) schools teach the same O-Level Mathematics content; they just sequence it differently and set their own internal exams, so these worked solutions apply to IP students too.
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