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QMI1500 ELEMENTARY QUANTITATIVE METHODS EXAM PACK 2024 A+
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QMI1500EXAM PACK
,UNIVERSITY EXAMINATIONS
MAY/JUNE 2020
QMI1500
ELEMENTARY QUANTITATIVE METHODS
Duration: 2 Hours 30 Minutes 100 Marks
EXAMINERS
FIRST MR MB NZUZA
SECOND PROF CJ SWANEPOEL
EXTERNAL DR HZ WIGGINS (University of Pretoria)
This paper consists of 12 pages, which include a list of formulas on page 12.
Programmable calculator permissible.
Instructions:
The paper consists of 30 questions for a total of 100 marks. Answer all the questions.
Only one option indicated as [1], [2], [3] or [4] per question is correct.
Marks will not be deducted for incorrect answers.
The answers to the examination MCQ may only be submitted online.
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CONFIDENTIAL QMI1500
Page 2 of 12 May/June 2020
Question 1
The expression
7 3 1 1
2 × ÷ 3 +3
9 4 8
is equal to
1 62
[1] 3 + .
3 75
10 2
[2] + .
3 3
10 5
[3] +5 .
3 24
2 5
[4] × .
31 1
Question 2
Simplify
2 1
x3 × x5
1
.
x2
47
[1] x 30
11
[2] x 3
11
[3] x 30
22
[4] x 30
Question 3
Eight men and five women have volunteered to serve on a committee. How many different committees
can be formed containing four men and four women?
[1] 52
[2] 1 287
[3] 104
[4] 350
Question 4
The following observations are arranged in ascending order:
17; q; 24; q + 7; 35; 36; 46.
The median of the data is 25. The value of q, rounded to the nearest integer, is
[1] 4.
[2] 18.
[3] 25.
[4] 32.
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, CONFIDENTIAL QMI1500
Page 3 of 12 May/June 2020
Questions 5 and 6 are based on the following:
A restaurant collects soft drink cans for recycling. The number of cans collected in two weeks are given
below:
84; 97; 77; 31; 84; 63; 58; 71; 47; 84; 69; 95; 43; 63.
Give the answer to the questions correct to the nearest integer.
Question 5
The mean number of soft drink cans collected per day is
[1] 63.
[2] 84.
[3] 70.
[4] 69.
Question 6
The mode of the number of soft drink cans for the two weeks is
[1] 69.
[2] 84.
[3] 70.
[4] 66.
Question 7
Consider a data set with a mean of 8,5 and variance of 16. The coefficient of variation for this dataset,
rounded to two decimal places, is
[1] 0,85.
[2] 0,16.
[3] 0,47.
[4] 0,53.
Question 8
Francinah wants to buy a smartwatch online. She finds a supplier in London selling the watch for
£510,20. This supplier is offering free shipping on the product. She then finds the same watch from a
supplier in New York for $552,10 with a shipping fee of $2,80. Next she looks up the exchange rates to
see which supplier has the better deal:
$1,00 = R17,85
£1,00 = R19,56
The total cost, in Rand, for the watch is
[1] R9 904,97 if she buys from the New York supplier.
[2] R10 034,24 if she buys from the London supplier.
[3] R9 857,79 if she buys from the New York supplier.
[4] R9 107,07 if she buys from the London supplier.
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