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MATHS P2 QP GR11 NOV 2023_English D With complete solutions latest update
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MATHS P2 QP GR11 NOV 2023_English D With complete solutions latest update
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NATIONALSENIOR CERTIFICATE
GRADE 11
NOVEMBER 2023
MATHEMATICS P2
MARKS: 150
TIME: 3 hours
This question paper consists of 12 pages, including 1 page information sheet, and
an answer book of 20 pages.
,2 MATHEMATICS P2 (EC/NOVEMBER 2023)
INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
1. This question paper consists of 10 questions.
2. Answer ALL the questions in the SPECIAL ANSWER BOOK provided.
3. Clearly show ALL calculations, diagrams, graphs, etc. which you have used in
determining the answers.
4. Answers only will NOT necessarily be awarded full marks.
5. You may use an approved scientific calculator (non-programmable and non-graphical),
unless stated otherwise.
6. If necessary, round off answers to TWO decimal places, unless stated otherwise.
7. Diagrams are NOT necessarily drawn to scale.
8. An information sheet with formulae is included at the end of the question paper.
9 Write neatly and legibly.
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, (EC/NOVEMBER 2023) MATHEMATICS P2 3
QUESTION 1
The box-and-whisker diagram below shows the distribution of the September examination
marks of a group of 24 boys in Grade 11. The median is 84 and the mean is 87.
68 7884 105 127
1.1 How many boys scored more than 105? (1)
1.2 In which direction are the marks skewed? (1)
1.3 Calculate the range of the data (2)
1.4 On checking the answer book of the candidate who scored 127, an adding error is
discovered and his mark is changed to 147. Determine the resulting value of the
following measures:
1.4.1 The median (1)
1.4.2 The mean (2)
[7]
QUESTION 2
55 learners were sampled at the school tuckshop to measure their waiting time in minutes
before being served. The results were published in the table below:
Time waiting Number Cumulative
(minutes) of frequency
learners
0<𝑥≤4 6
4< 𝑥 ≤ 8 10
8 < 𝑥 ≤ 12 19
12 < 𝑥 ≤ 16 15
16 < 𝑥 ≤ 20 5
2.1 Complete the cumulative frequency table in the ANSWER BOOK. (2)
2.2 Hence, draw the cumulative frequency graph on the grid in the ANSWER BOOK. (4)
2.3 Use your graph to estimate the number of learners who waited for more than
14 minutes. (3)
2.4 Write down the modal class of the data. (1)
2.5 Use your graph to estimate the interquartile range of the data. (3)
[13]
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