THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL

FORM TWO SECONDARY EDUCATION EXAMINATION, 2009

0041 BASIC MATHEMATICS

Time: 2 ½ Hours

INSTRUCTIONS

1. This paper consists of sections A and B.

2. Answer ALL questions showing clearly all the working and answers in the space provided.

3. ALL writing must be in blue or black ink EXCEPT drawings which must be in pencil.

4. Write your examination number at the top right corner of every page.

5. Mathematical tables, geometrical instruments and graph papers may be used where necessary.

6. Cell phones and calculators are not allowed in the examination room.

SECTION A (60 MARKS)

1. Given the following numbers:

1, 2 ,3 ,4 ,5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.

Identify all prime numbers and show them on a number line.

2. Given that

3. A form Two student has to do eleven examination papers. The student has already done M of them. How many examination papers have been left if M=3?

4. Solve 6812 x 4257 – 6812 x 3257

5. If Fatuma is 4 years less than Bakari and 3 times Fatuma’s age equal to 2 times Bakari’s age. What are their ages?

6. Find 5.84 x 6 correct to 2 significant figures.

7. In the following Figure ABCD, AC=8cm. and BD =10cm. determine its area.

8. How many integers are in the given range -3 < k ≤ 6?

9. 50% of the contents in a box weight 8kg 40gm. What does the whole contents weight?

10. Which is greater?  ?

11. A girl walks 4km. due North from point A and then walks 3km. due East to point P. What is the shortest distance from point A to P?

12. If , find the value of ab

13. If x - 60° and 4x+10° are complementary angles, then what is the value of x?

14. By how much is the sum of  less than

15. Find the simple interest on Tshs. 180,000/= for years at the rate of 5% per year.

16. Without using mathematical Tables, complete the Table below:

17. If log 2=0.3010, log 3=0.4771 and log 7=0.8451. Evaluate log 42.

18. In a box of 200 books, 150 have red colour and the rest have blue colour. What is the percentage of each colour?

19. Given A={mango, orange}. How many subsets are in set A? List them.

20. What is the centre of an enlargement, given that the image of A (3, 2) under the enlargement scale factor 2 is A'(6, 4)?

21. The following are the masses in kg of 30 Form II students of Maendeleo Secondary School:

1. Prepare a frequency distribution table by grounding the data values in the width of 5.
2. Use the table in part (a) above to draw a Histogram of the data.

22. In the Figure below:

Name the triangles which are similar and identify the corresponding angles.

23. An observe on top of a cliff 40m above sea level views a ship on the sea at an angle of depression of 35°. How far is the ship from the foot of the cliff?

24. Solve graphically the following pair of equations: