THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL
CERTIFICATE OF SECONDARY EDUCATION EXAMINATION
041 BASIC MATHEMATICS
(For Both School and Private Candidates)
Time: 3 Hours Tuesday, 04 th November 2014 p.m.
1. This paper consists of sections A and B.
2. Answer all questions in sections A and four (4) questions from section B. Each question in section A carries six (6) marks while each question in section B carries ten (10) marks..
3. All necessary working and answers for each question must be shown clearly.
4. Mathematical tables may be used.
5. Calculators and cellular phones are not allowed in the examination room.
6. Write your Examination Number on every page of your answer booklet(s).
SECTION A (60 Marks)
Answer all questions in this section.
1. (a) Kisiki and Jembe are riding on a circular path. Kisiki completes a round in 24 minutes whereas Jembe completes a round in 36 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?
(b) Nyaumwa invested a certain amount of money in a bank which pays interest rate of 6 percent after every 6 months. After 5 years, his total savings were sh 9,600,000. Determine the amount of money Nyaumwa invested initially.
11. A farmer has 20 hectares for growing tomatoes and cabbages. The cost per hectare for tomatoes is sh 48,000 and for cabbages is sh 32,000. The farmer has budgeted sh 768,000. Tomatoes require one manday per hectare and cabbages require two mandays per hectare. There are 36 mandays available. The profit on tomatoes is sh 160,000 per hectare and on cabbages is sh 192,000 per hectare. Find the number of hectares of each crop the farmer should plant to maximize the profit.
(c) Kicheko and Mtakuja are two villages on latitude 60°S. The distance between Kicheko and Mtakuja measured along the parallel of latitude is 1111km. Find the difference between their longitudes in two significant figures.