MARKING MEMORANDUM
Module
Business Mathematics
BSMA02-5
(NQF LEVEL 5)
FORMATIVE ASSESSMENT – ASSIGNMENT C
Assignment C (BSMA02-5/DLO3 07/2022)
Due Date
Exam Date
Marks
13 June 2022
4 July 2022
50
© Milpark Education Business Mathematics BSMA02-5 Assignment C 2022 Memo
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Marking guidelines
PLEASE NOTE:
All marking to be done in the following colours:
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Marker marks in RED.
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Internal moderator marks in PURPLE.
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External moderator marks in GREEN.
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Re-marks (where applicable) done in BLUE.
Markers are not allowed to use PURPLE, BLUE OR GREEN pens as these are used
by moderators and re-markers (where applicable).
Please read through the question paper and the memorandum to familiarise
yourself with both.
Read the student’s answer(s) to determine how s/he has approached the
question. You should try to get an overview of the grammar, sentence structure,
content and organisation of the answer.
Our assessment method is holistic. This means that we take everything into
consideration in allocating marks to a student. Once the overview of the student’s
assignment is clear, the mark allocation should reflect the student’s ability to:
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respond to a specific question.
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structure an argument.
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think independently and not simply copy or repeat content.
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evaluate and weigh up different kinds of evidence.
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communicate effectively in writing.
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produce a well-presented piece of work.
REFERENCING: Students are required to acknowledge the sources of ideas,
concepts, models and arguments they use in their assignment. The Harvard
Referencing Method (as adapted and explained in the Milpark Reference Guide)
must be used when students reference a source used. Examples of how this must
be done can be found in the Milpark Reference Guide. Please familiarise yourself
with this method, as it is the only method that will be accepted for proper
referencing.
© Milpark Education Business Mathematics BSMA02-5 Assignment C 2022 Memo
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PLEASE ALSO REMEMBER:
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Every tick (√) with a red pen counts as a mark. Before you allocate a
mark, be sure that it is correct.
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A mark may only be allocated if the fact is correct in the context of the
question.
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All ticks (√) are to be added to reach the final mark awarded for the
answer.
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Each tick (√) must be placed where the relevant point has been
completely made in order to assist the moderator and the student to see
how marks were awarded.
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The general principle of one mark or tick (√) per point applies.
Accordingly, under no circumstances may two or more ticks (√√) be
allocated to the same point.
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No half-marks may be awarded, unless specifically indicated as such in
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the memorandum.
Assignments are formative in nature and hence it is crucial that you
provide the student with enough feedback for him to understand where
he went wrong. You are expected to provide comments where students
get answers incorrect.
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The assignments are scanned back electronically to students. Please
write all your comments and mark allocations within the margins of the
page, as it often happens that the area outside the margins is not
scanned in.
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If the student has answered the question incorrectly, please do not draw
a line through it. Rather indicate a mark of zero in the margin and write
a short explanatory note indicating why you allocated a mark of zero.
Remember: the moderator might want to overrule you, and will then
need to mark the question; if there is a line through it, it makes it very
difficult.
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At the end of the assignment draw a line to show where you stopped
marking – this will ensure that possible answers on pages following have
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not been overlooked.
Add up individual marks for a complete question (with sub-sections) and
write the total mark in a circle next to the question number on the
assignment.
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The final marks allocated per question must also be written on the front
page of the student’s assignment. Please indicate on the front page the
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number of the question and the mark awarded for that question.
Indicate where students did not answer a question by making a dash in
the marks column – this will show how many questions they answered
in total, and will prevent non-marking of questions.
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When you have marked all the questions, add all the marks achieved to
calculate the result out of the total.
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The mark sheet must be completed in ink – you may use RED pen.
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When you have finished with a batch of assignments, be sure to complete
the enclosed marker’s report. This report must be completed in full and
signed. NB: No payment will be effected if this report is not completed
in full.
NOTE TO MARKER:
Where relevant, students should write in their own words. Do not award marks
to answers where they simply copied the theory from the study guide without
explaining/applying it to the scenario provided.
Please consult the Milpark Referencing Guide on the correct referencing
technique (Harvard) to be applied.
For the case study:
Students must use information from the case study to answer this question. Do
not award marks to theoretical answers given straight from the study guide.
Enjoy your marking and remember to maintain our academic standards while
giving fair recognition to the student’s efforts and abilities.
© Milpark Education Business Mathematics BSMA02-5 Assignment C 2022 Memo
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Assignment C (BSMA02-5/DLO3 07/2022)
Total: 50 marks
Note: You will be penalised for the copying of theory without explanation/
application to the scenario provided. You should use the theory in support of your
own answer. Non-application will result in a zero mark being awarded.
SECTION A (50 MARKS)
Question 1 (20 marks)
1.1
Provide a graphical solution for the following system of equations.
2
(8)
2
(x + 1) + (y + 1) = 25
x +y =5
1.2
Solve the following system of equations.
2
(8)
2
x + y = 26
x−y=6
1.3
From a deck of cards, a card is picked at random. Calculate the
probability of picking neither a heart nor a king.
(4)
Answer: (Topic 2)
1.1
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One mark each for correctly labelled point of intersection ( Max 4 marks)
1 mark each for correctly labelled graphs
2 marks for overall correctness of graphs
1.2
Via substitution on equation 2:
X–y=6
X=y+6√
Substitute the value of x into the quadratic equation:
𝑥 2 + 𝑦 2 = 26
(𝑦 + 6)2 + 𝑦 2 = 26 √
𝑦 2 + 12𝑦 + 36 + 𝑦 2 = 26
2𝑦 2 + 12𝑦 + 10 = 0
𝑦 2 + 6𝑦 + 5 = 0
(𝑦 + 5)(𝑦 + 1) = 0
𝑦 = −5 𝑂𝑅 𝑦 = −1 √√
If y = - 5 then x=?
X = -5 + 6 = 1 √√
If y = - 1 then x=?
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X = -1 + 6 = 5√√
Solution Set; (1, - 5) and (5, -1)
1.1
Use complementary events
Probability of neither = 1 – Probability of either
P(not Hear or King) = 1 – P(Heart or King) √
= 1 – [P(heart) +P(king) – P(King and Hearts)] √
= 1 – [13/52 +4/52 – 1/52] √
= 1 – 16/52
= 9/13 √
Notes to marker: Allocate marks as indicated.
Question 2 (10 marks)
2.1
2.2
Suppose P(A) = 0.75 and P(B) = 0.82. Find the following:
2.1.1
P (A and B) if A and B are independent.
(2)
2.1.2
P (not A and not B), if A and B are independent.
(2)
2.1.3
P (A and B), if A and B are mutually exclusive.
(1)
Solve the following inequality.
(3)
2
x - 5x + 6 ≥ 0
2.3
Discuss the systematic sampling method and state whether it is biased
or not.
(2)
Answer:
2.1
a)
b)
P(A and B) = 0.75 x 0.82 = 0.615 √√
P(not A and not B) = 0.25 x 0.18 = 0.045 √√
c)
P(A and B) = 0 √
2.2
𝑥 2 − 5𝑥 + 6 ≥ 0√
(𝑥 − 2)(𝑥 − 3) ≥ 0
𝑥 ≥ 3 𝑎𝑛𝑑 𝑥 ≤ 2 √√
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2.3
Systematic
sampling – non-biased sampling method
in which
researchers select members of the population at a regular interval (or k)
determined in advance√√
Question 3 (20 marks)
Solve the following system of equations and provide a graphical representation
of the solution.
y - x =1
x2 + y2 = 13
y = x + 1 (1 mark)
x2 + y2 = 13 (2 marks)
Substitution: x = 9 – y
x2 + y2 = 13 (but y = x + 1) √√
(x)2 + (1+x)2 = 13
x2 + [1+x+x+x2 ]= 13√√
x2 +1+x+x+x2 -13= 0
2x2 + 2x -12 = 0 √√
(2x - 4)(x + 3) = 0
x = 2 or x = -3 √√
If x = 2 then y?
If x = -3 then y?
y = x+1
y =x + 1
y= 2+ 1
y =-3 + 1
y=3√
x = -2 √
Solution set (2,3) (-3,-3) √√
Graphical solution:
© Milpark Education Business Mathematics BSMA02-5 Assignment C 2022 Memo
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2 marks for correct graph of x2 + y2 = 13 (red circle)
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2 marks for correct line y - x= 1 (blue line)
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2 marks for correct intersection points (-3, -2) and (2, 3)
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2 mark for labelling the x and y axis
Notes to marker: Allocate marks as indicated.
TOTAL MARKS: 50
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