ALBAZ COLLEGE OF HEALTH SCIENCE AND TECHNOLOGY JALINGO
End of First Semester Examination 2021/2022 Academic Session
Course Code: MTH 101
Course Title: Basic Mathematics I
Time Allowed: 2Hours
Instruction: Attempt any five(5) questions
SECTION A (THEORY OF SET)
Q1. If µ={y:y is an integer,2≤ y>10}
A={y:y is a prime number}
B={y:y is a multiple of 3}
(a)find (i) 𝐴𝐼 (ii) 𝐵 𝐼 (iii) A∩B (iv) AUB
(b) show the information in Q1 in a Venn diagram
Q2.Given that A={3,5,7,9} B={2,4,6,8} and C={x:3≤x≥9} are subset of universal
set,µ={2,3,4,5,6,7,8,9}. Find (a) A∩( 𝐴𝐼 U𝐵 𝐼 ) (b)( AUB)∩(BUC)
SECTION B (INDICES)
4
5
Q3. Simplify √16𝑥12 𝑦 20 ÷√32𝑥10 𝑦 −15
Q4.Simplify
62𝑟+1 +7𝑟 +42𝑟
14𝑟 +2𝑟 +122𝑟
SECTION C (THEORY OF LOGARITHM)
Q5.Evaluate the following (a)𝐿𝑜𝑔6216 (b)
𝐿𝑜𝑔243
𝐿𝑜𝑔81
Q6. Simplify without using table or calculator
1
25
4
320
𝐿𝑜𝑔 4 -2𝐿𝑜𝑔5 +𝐿𝑜𝑔125
2
SECTION D (SURDS)
Q7.Express each each of the following surds from its single form to basic form:
(a)√50
(b)√243
(c)√128
(d) √500
Q8.Express each of the following surds from basic form to single form:
(a) 3√2
(b) 3√13
(c) 4√17
(d) 10√6