Cba0112:Basic Business Mathematics Question Paper
Cba0112:Basic Business Mathematics
Course:Certificate In Bridging Mathematics
Institution: Meru University Of Science And Technology question papers
Exam Year:2013
QUESTION ONE
a. Simplify ??2-???? ??2-2????+??2 (3 Marks) b. Find the value of x in the equation ??+3 ??+2 + ??-3 ??-2 = 2??-3 ??-1 (3 Marks)
c. The total cost of two books and 3 spring files is Ksh110. Two similar books and 3 similar spring files cost Ksh120. Determine the price of one book and one spring file. (4 Marks) d. Solve the equation. Log(3y + 4) = log(y-2) + 3log2 (3 Marks) e. Calculate the percentage error in evaluating 2.12 x 3.462 (4 Marks) f. Find the sum of first ten term of the sequence 1, 3, 5, 7 (3 Marks) g. Ten boys take part in a swimming competition. Find the total number of possible ways in which the first three prizes may be given away assuming there is no tying. (3 Marks) h. A student has invested Ksh10,000 in affixed deposit account earning a compound interest at the rate of 2% half yearly. How much money will she get in 4 years? (4 Marks) i. The marked price of a colour TV is Ksh20,000. A dealer charges 20% more on higher purchase. Calculate the amount of monthly installments if the deposit is Ksh6000 and there are 12 equal installments. (3 Marks)
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QUESTION TWO
a. An employee earns a gross salary of k£9910pa. If she claims family relief of k£60pa. Calculate her monthly pay using the tax income table below. (6 Marks)
Income in k£pa tax rate %
1 – 1980 10 1981 – 3960 15 3961 – 5940 25 5941 – 7920 35 7921 – 9900 45 9900 and above 50
b. The upward distance moved by an object is given by S = 50t – 4t2. Find the time when the distance is 120m. (4 Marks)
QUESTION THREE
a. Solve the equation (3 Marks) x2 + 4x – 21 = 0
b. Find the constant term in the expansion of (4 Marks) x + 1 ?? 4 c. Solve for x in the equation. (3 Marks) 23x-2 = 16
QUESTION FOUR
a. Solve for x in the following b. In how many ways can you choose a committee of 3 members from 5 members? (3 Marks) c. Rationalize the denominator in (3 Marks) 1 2+ 3
QUESTION FIVE
a. In the 2012 Amos and Jane started a partnership business and agreed to share profits and losses in the 2:3 respectively. In the first month they made a profit of Ksh100,000. i. How much money did each get? (3 Marks) ii. What percentage of profit did each get? (3 Marks)
b. Factorize x2 – y2 and hence evaluate 1872 – 872 (4 Marks)
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QUESTION SIX
a. Use logarithms to evaluate. (4 Marks) 7.23 ?? 3.47 0.043 b. The 3rd and 6th terms of a G.P are 5 and -40 respectively. Find the 8th term of this sequence. (3 Marks) c. Simplify (3 Marks)
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