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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 – (30 MARKS) (a) Simplify without using a calculator. (3 Marks) 2 5 ÷1 6 ????13 25 -1 2 11 4 +2 3 ÷51 9 -1 7
(b) Without using a calculator, evaluate (3 Marks) 306 ?? 0.36 1.36 ?? 0.64
(c) The marked price of a refrigerator in a shop is Kshs.40,000. Murugi bought the refrigerator at 10% discount and the shopkeeper still made a profit of 20%. Calculate the amount of money the shopkeeper had paid for the refrigerator. (3 Marks)
(d) Grace bought three biros and 7 exercise books at Kshs.64. Joyce bought 5 biros and 5 exercise books at Kshs.60. Find the cost of each item. (3 Marks)
(e) Solve for x. 2?? 4 - ??-2 6 = 1 (3 Marks)
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(f) Use substitution method to solve the simultaneous equation. ?? + 2?? = 5 3?? - 2?? = 7 (3 Marks)
(g) Solve the following quadratic equation. 7??2 - 15?? + 8 = 0 (3 Marks)
(h) The sum of the first 3 terms in geometric series is 31. If its common ratio is 1/5, calculate the sum of the first 8 terms of this series. (3 Marks)
(i) Solve the simultaneous equation. (3 Marks) log ?? + ?? = 0 2log?? = loglog(?? + 1)
(j) Make u the subject of the formula. (3 Marks) ?? = ???? ??+2??
QUESTION TWO - (10 MARKS) (a) During a certain period the exchange rate at Petamax Exchange Bureau were as follows: Buying (Kshs) Selling (Kshs) Deutchmark (DM) 19.68 19.74 A tourist arrived with 5840 Deutchmark which he exchanged into Kshs. He spent 2 3 of the money touring various sites and changes the balance to DM. Calculate his balance giving your answer to 4 s.f. (4 Marks)
(b) The HP price of an item is Ksh13,700. A customer who buys on cash basis gets a 15% discount on the above price. Joy bought the item on HP and paid Ksh2,825 as down payment. She paid the balance in 15 equal installments. (i) How much did she pay per month (3 Marks) (ii) How much could she have save if she had bought the item for cash. (3 Marks)
QUESTION FOUR – (10 MARKS) (a) In how many ways can a committee consisting of 4 men and 3 women can be chosen to form 9 men and 6 women. (4 Marks)
(b) Use the binomial theorem to evaluate the following expression correct to 4 d.p. 1.026 (4 Marks)
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(c) Simplify 2 ??5! 9!5!
+
14! 6!8! (2 Marks)
QUESTION FOUR – (10 MARKS) (a) Find the 5th term of an AP sequence whose 4th term is 35 and 10th term is 65. (5 Marks)
(b) How much money will you have accumulated after 10 years if you save Shs100 in the 1st year? Sh1100 in the second year adding Sh100 every other year? (Assume no interest is earned. (5 Marks)
QUESTION FIVE – (10 MARKS) (a) Find u if the following expression is perfect square. ??2 - 6???? + ????2 (5 Marks)
(b) A group of student decided to raise Ksh42000 to assist a peer who had no money for a trip. If seven students failed to contribute they could have raised the same amount by each paying Ksh3000 more. Determine the number of students in the group if each of them contributes the same amount. (6 Marks)
QUESTION SIX – (10 MARKS) (a) If log2 ??_log?? 2 = 2 find x (5 Marks)
(b) Solve for the following (i) log ?? = 3 2 (3 Marks)
(ii) ?? = log6 216 (2 Marks)
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