UNIVERSITY OF ENERGY AND NATURAL RESOURCES, SUNYANI
SCHOOL OF SCIENCES
DEPARTMENT OF MATHEMATICS AND STATISTICS
BSc(BIO, FDM, HSPM, MED-LAB, NATU)
First Assignment
UENR 100 : QUANTITATIVE LITERACY
March 16, 2022
Time: 21th March, 2022 at 7:30am
INDEX:
PROGRAM:
INSTRUCTIONS
You are please requested to answer all questions and submit your booklet to the class rep
latest before 20th March, 2022. Y Candidates are reminded that examiners attach paramount
importance to legible handwriting and clarity of expression. Kindly note that all symbols used
in this examination have their usual meanings.
D. Gyamfi
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1. If v varies directly as (m - t) , and m varies directly as (t + v), show that
(a) v varies directly as t,
(b) m varies directly as t.
2. Let ε = {x : x ≤ 5} and A = {x : 1 < x < 4} . Find Ac
1 1
3. If
+
varies inversely as (x + y) , show that
x y
a. (x + y)2 ∝ xy
b. x2 + y 2 ∝ xy.
4. The cost (C in cedis ) of making a cylindrical rod varies jointly as the square of
its base radius (r cm) and its height (h cm).Find the percentage change in C if r is
increased by 20% and h is decreased by 10%.
5. It is given that y varies inversely as x2 . If x is decreased by 50%, find the percentage
change in y.
6. Find | X |, if X = {−n, · · · , −2, −1, 0, 1, · · · , n}
7. Suppose that we purchase a new TV for ¢399. If the sales tax in Berekum is 9%, find
the total cost of the TV.
End of Assignment
D. Gyamfi
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