QMI ASSIGNMENT 1& 2 2024 SEMESTER ONE Elementary Quantitative Methods - QMI1500

2/23/24, 10:32 PM Assessment 1 (page 1 of 20)




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Question 1

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Writing the expression
5 3 4
7 5 6
x + 3x + x + 4x
2 2



in sigma notation, gives


8
k
(i) ∑ x
k−2


2
k=5


4
k + 4
(ii) ∑ x
k+2


2
k=1


6
k + 2
(iii) ∑ x
k
.
2
k=3




Which ONE of the following is TRUE?



Select one:
a. (i), (ii) and (iii)



b. Only (i)



c. Only (i) and (iii)



d. Only (ii)



Clear my choice




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,2/23/24, 10:32 PM Assessment 1 (page 2 of 20)




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Question 2

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4 1
Jeffrey left of his estate to his wife and of the remainder to his granddaughter. The part of his estate that is not
7 4
accounted for, given as a fraction, is



Select one:
a. 9
.
28




b. 23
.
28




c. 19
.
28




d. 5
.
28




Clear my choice




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,2/23/24, 10:31 PM Assessment 1 (page 3 of 20)




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Question 3

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1 1 5
The points A, B, C and D divide the line segment AD in the ratio 2 : 1 : , respectively, and AB = 30 cm :
2 3 6




What is the length of BD?



Select one:
a. 16 cm




b. 56 cm




c. 26 cm




d. 10 cm




Clear my choice




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, 2/23/24, 10:31 PM Assessment 1 (page 4 of 20)




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Question 4

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2
The width of a rectangular tank is x cm. Its height is its width and its length is four times its height. The volume of the
3
tank (in litres) is



Select one:
a. 16 3
x ℓ .
9




b. 8 3
.
3
x × 10 ℓ
3




c. 8 3
x ℓ .
3




d. 16 3
.
−3
x × 10 ℓ
9




Clear my choice




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