THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL OF TANZANIA

FORM ONE TERMINAL EXAMINATION

BASIC MATHEMATICS

Time: 2:30 Hours Year : 2022

Instructions

1. This paper consists of ten (10) compulsory questions.

2. Show 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. NECTA mathematical tables, geometric instruments and graph papers may be used where necessary.

5. All communication devices, calculators and any unauthorized materials are not allowed in the assessment room.

1(a) Subtract 25% of 24 from 6

(b)On a number line perform an operation of -4 – 3

2(a)Find the sum of

(b)If 0.000701 is expressed in the form A x 10ⁿ, where 1≤A<10 and n is an integer, find the value of n

3. Re-arrange the order of the digits in the number 5879613 to make it

1. The largest number
2. The smallest number

4.Convert (a) 4 kilometers + 8 hectometers into centimeters

(b)24 hours into seconds

5.(a)Arrange the following numbers from the largest to the smallest

(b)Given the number 0.00803, write the number of significant figures.

6.(a)If a*b= (a – b) / (a + b), find 7*3

(b)A clock loses 4 minutes every day. If the clock is set to start on Monday, on which day will it have lost 1 hour?

7.(a)Simplify

(b) A person borrows Tshs 6,000/= for a period of 6 years at 20% simple interest per annum. Calculate the total amount the person will pay back after 6 years.

8.(a) A straight passes through two A(-3,6) and B(-6,3) Find the equation of this line in the form of y = mx + c.

(a) A shopkeeper makes 40% profit by selling an article for Tshs. 63,000/= What would be his percentage loss if he sold the article for Tshs 40,000/=?

9. (a)Simplify

(b)Approximate 13.95 and 9.72 to the nearest tens, hence evaluate 13.95 x 9.72 by using the approximated numbers.

(c). The length of rectangle is twice its width. If the perimeter of the rectangle is 18cm, find its area.

10.(a) Solve the equation 0.03x – 0.003 = 0.03

(b)The sum of the ages of David and Juma is 80 years. The difference of their ages is 10 years. Find the age of each of them

(c)Solve the following simultaneous equations.

THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT

FORM ONE BASIC MATHEMATICS TERMINAL EXAMINATION

Time: 2:30 Hours Year: 2022

Instructions

1.This paper consists of ten (10) compulsory questions.

2.Show 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. NECTA mathematical tables, geometric instruments and graph papers may be used where necessary.

1. (a) Given the numbers 8, 12 and 24. Write in set notation: { }:

i. The factors of each integer

ii. The first 3 lowest multiples of each number

(b)Find the H.C.F and L.C.M of the numbers 8,12 and 24 by prime factorization or by method in (a)

(c)Evaluate: 

(i) (-8) – (-16) + (-10)

(ii)

2. (a)Evaluate: 

(i) Value of m if

(ii)

(b)Express: 2hours and 30 minutes as a fraction of  hours

(c)Write down the fraction  in ascending order of magnitude.

3.(a)(i) Express  in the form of a/b and find a+b

(ii)Evaluate:

(b)Write each fraction as a repeating or terminating decimal

i.  (ii)

(c)Express: 17.67547 (i) Correct to 3 decimal place (ii) Correct to 3-significant figures

4. (a) A lorry can take a load of 15 tonnes once. How many times can a pick-up of capacity 3,000kgm take the same amount of 15 tonnes

(b) A plank of wood timber of length 31.5 metres is cut into rectangular pieces of 10.5cm long . How many rectangular pieces can be cut without wasting wood?

(c) Evaluate in terms of hours and minutes

3 x [4hrs + 40 min + 30 sec] and express the result in decimals

5. (a) Factorize 

(i) a(c+d) – b(c+d)

(ii) xy + 4x – 2y – 8

(b)Simplify

(c)Expand (3a + b) (x – y)

6. (a)The diagram represent the frame of a picture (shaded).

Find the area of the frame

(b)ADEF represent a trapezium

FE=6cm ED=5cm CD=3cm AB=2cm

Calculate the area of the trapezium

7. (a)Given the points A(2,1), and B(8,9)

Find (i) Length of AB

(ii)The slope of AB

(iii)The coordinates of the mid-point M and AB

(b) Find the equation of the line whose slope is  and passing through the point (4,2)

(c)(i)Find the radius of a circle of area 38.5sq.cm, taking

(ii)How many times does the wheel of a car of radius 10cm. Revolve in travelling a distance of 30metres

8. (a)(i)Solve the following simultaneous equations:

(ii)Solve for x

(b)The difference between increasing a number by a number N by 20% and decreasing the same number by 15% is 14. Find N

(c)Solve the following inequalities 

(i)

(ii)

9. (a)A 20litre-plastic of cooking oil is bought at 100,000/= and sold at 6,000/= per litre. Find the percentage profit.

(b)Convert the following into percentage

(i) 

(ii) 

(iii) 

(iv)0.03

(c)Convert the following percentages into fractions

(i)20% 

(ii)0.8% 

(iii) 

(iv)3.5%

10. (a)Give one mathematical name for the relation between the following angles and write their relation.

(i)

(ii)

(iii)

(iv)

(b)If the angles x°, 2x°, and 3x° are supplementary angles, find the value of x and write down the angles

(c)The angles in a triangle are x°, 2x° and

Find x and indicate the angles in a triangle

THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT

FORM ONE BASIC MATHEMATICS TERMINAL EXAMINATION

Time: 2:30 Hours Year: 2021

Instructions

1.This paper consists of ten (10) compulsory questions.

2.Show 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.NECTA mathematical tables, geometric instruments and graph papers may be used where necessary.

5.All communication devices and calculators are not allowed in the assessment room.

1. (a) Write the numerals of the statement: Ninety two million two hundred seventy five thousand two hundred seventy five.

(b) Write the number 2373695 in words.

2. (a) Find the value of 98 – {(15 ÷ 3) – (45 ÷ 15)} × 10 + 4

(b) Simplify the algebraic express and state the coefficient of x: -2( x – 3 ) + 4( -2x + 8)

3.(a) Round off the number 0.007326 correct to:

(i) 3 significant figures

(ii) 3 decimal places

(b) Change the following :

(i) 1608 hrs into 12 – hours clock system

(ii) 7:08 pm into 24 – hours clock system

(iii) 980 dam into centimeters

4.(a) Find the H.C.F of 112, 168 and 420 by prime factorization

(b) The sum of three consecutive odd numbers is 51. Find the numbers.

5. (a) Add the difference of and to the sum of and .

(b) Express in form of where b ≠ 0

6. (a) Solve for x given that

(b) In a School, of the students are boys and the number of girls is 990. Find the number of boys in the School.

7.(a) Three traffic lights at three different road crossings change after 48 seconds, 72 seconds and 100 seconds respectively. If they all change simultaneously at 8:00 am. At what time will they change again simultaneously?

(b) If ,find

(i)

(ii) find n if

8.(a) In the following figure, AB is parallel to PQ - and RS is a transversal. Find the angles labeled a, b, w, x, y, and z.

(b) Use the two figures below to find the values of x and y

9. (a )A father is 24 years older than his son. After 2years, the father’s age will be three times that of his son. Find their present ages.

(b) The length of a rectangular park exceeds its width by 17m. If the perimeter of the park is 178m. Find the dimensions of the park.

10. Solve the following simultaneous equations:

(a) 3x – y = 10

5x + 2y = 24 (Using Elimination Method)

(b) 3x + 4y = 17

5x – 2y = 11 (Using substitution method )

THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT

COMMERCE- TERMINAL EXAMINATION-MAY

FORM ONE

TIME: 2HRS                                                                           2020

NAME:_______________________________________________                     CLASS:___________

INSTRUCTIONS

• This paper consist of section A,B and C with a total of seven(7) questions.
• Answer all questions. 

SECTION A (30 MARKS)

Answer all questions in this section

1. For each of the following items (i) – (x), choose the correct answer from among the given alternatives and write its letter besides it.

(i) The production process in which a farmer grows maize for sale is referred to as

1. Direct production
2. Direct service
3. Indirect production
4. Indirect services

 (ii) The label which shows the price of particular goods in a shop is called.

1. Price list
2. Price tag
3. Invoice
4. Branding

 (iii) What is the main purpose of commerce?

1. To ridge the gap between wholesalers and retailers
2. To bridge the gap between producers and the retailers
3. To bridge the gap between producers and consumers
4. To bridge the gap between retailers and consumers

 (iv) Which one among the following is part of aids to trade?

1. Commerce 
2. Direct services
3. Trade
4. Communication

(v) A person who coordinates all productive resources and bear the business risks is called.

1. A business manager
2. An entrepreneur
3. Entrepreneurship
4. Consumers

 (vi) The best way in which individuals and organizations use to protect their businesses against risks is:

1. Creating bank account through which all business cash are deposited
2. Increasing number of employees into the business
3. Insuring their employees through insurance companies
4. Insuring their businesses through insurance companies

 (vii) Examples of free goods are:

1. Tanzania Broadcasting, ITV and star TV
2. Refrigerator, tractors and tailoring machine
3. Roads, public hospitals and public schools
4. Rainfall, sunshine and air

 (viii) Which of the following presents a disadvantage of barter system?

1. Double coincidence of wants
2. Divisibility
3. Standard of deferred payment
4. Indivisibility

 (ix) Which of the following is not included in commerce flow chart?

1. Insurance
2. Warehousing
3. Production
4. Transportation

 (x) Which of the following group presents a broad classification of occupations?

1. Trade and production
2. Industrial, commerce and tertiary
3. Extractive, manufacturing and constructive industries
4. Trade, aids to trade and industrial

 2. Match items in list A with the responses in list B by writing the letter of the correct response below the number of the corresponding item in the table provided.

 3. Complete the following sentences by filling in the blanks with the correct term(s)

1. Goods and services that are sold within the country are termed as­­­­­­­­­­­­­___________________
2. The industries dealing with assembling of already manufactured goods into finished goods are called_____________________
3. An auxiliary service which involves exchange of information between people or organization is known as  ________________
4. The last person to receive goods in the channel of distribution is called_______________
5. The art of selling goods in small quantities to the final consumer is called_____________
6. Human needs which are not necessary for human survival are called_________________
7. Human needs which are necessary for human survival are called____________________
8. The process of letting the public be aware about your new products is called____________
9. Hair dressing is an example of_____________________
10. Anything that can be touched, seen is called__________________

 SECTION B (30 MARKS)

Answer all questions in this section

4. With examples briefly explain the meaning of the following terms

1. Specific factor of production
2. Non – specific factor of production
3. Aids to trade
4. Capital 
5. Normal goods

5. a)Define the term supply of  labour

b) Mention six factors affecting supply of labour

SECTION C (40 MARKS)

Answer all questions in this section

6. Draw the commerce flow chart and label it clearly

7. Carefully study the table below then complete it by filling in the blanks

THE PRESIDENT’S OFFICE

MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT 

MATHEMATICS- TERMINAL EXAMINATION-MAY

FORM ONE

Time 2:30 Hours                                                          MAY

Instructions

• This paper consists of two sections A and B. 
• Answer all questions in all sections
• Show clearly all working for each question 

 SECTION A :( 60 Marks)

1. Simplify the algebraic express  and state the coefficient of x: -2( x – 3 ) + 4( -2x + 8)

2.  Find the value of 98 – {(15 ÷ 3) – (45 ÷ 15)} × 10 + 4

3. Round off the number 0.007326 correct to (a) 3 significant figures   (b) 3 decimal places

4. Write the numerals of the statement: Ninety two million two hundred seventy five thousand two hundred seventy five.

5. Write the number 2373695 in words.

6. Find the H.C.F of 112, 168 and 420 by prime factorization.

7. Three traffic lights at three different road crossings change after 48 seconds, 72 seconds and 100 seconds respectively. If they all change simultaneously at 8:00 am. At what time will they change again simultaneously?

8. The H.C.F of two numbers is 18 and their L.C.M is 108. If one of the numbers is 54. Find the other number.

9. Add the difference of and to the sum of and .

10. Express   in form of  where b ≠ 0

11.  Change (a) 1608 hrs into 12 – hours clock system  (b) 7:08 pm into 24 – hours clock system

12. Convert 980 dam into centimetres

13. Solve for x given that

14.  In a School,  of the students are boys and the number of girls is 990. Find the number of boys in the School.

15. Solve for x given that 2(x – 5) + 3(x – 2) = 8 + 7(x – 4)

16. How many kilograms are there in a milligram

17. A sum of money was divided between Mary and Agnes. Mary gets   of the whole money and her share is Tshs. 4050. What is the total amount of money?.  What is Ashura’s share?

18.  Using a number line, add -5 + -2

19. Arrange the numbers 0.35, , 50%, 25 and 0.33

20. A room with length 270cm and width 150cm is to be covered with square tiles. What is the largest size of the tiles to be used if no space of the room is to be left uncovered?  

SECTION B: (40 Marks) 

21. (a )A father is 24 years older than his son. After 2years, the father’s age will be three times that of his son. Find their present ages.

(b) The length of a rectangular park exceeds its width by 17m. If the perimeter of the park is 178m. Find the dimensions of the park. 

22. Solve the following simultaneous equations:

(a) 3x – y = 10 

5x + 2y = 24 

Use substitution method

 (b) 3x + 4y = 17  

5x – 2y = 11

Use elimination method

23. (a) The sum of three consecutive odd numbers is 51. Find the numbers

(b) A man gave of his money to his son,  of the remainder to his daughter and the remaining to his wife. If his wife gets shs 8700, what was the total amount?

24. If  ,find (a) (b) find n if

25. Use the two figures below to find the values of x and y