PRESIDENT OFFICE REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES

COMPETENCE BASED ASSESSMENT

BASIC MATHEMATICS FORM ONE

ANNUAL EXAMINATION 2023

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 drawing which must be in pencil.

1.(a) (i) Add the first three multiples of 2, 3 and 5.

(ii) The numbers K, 2, 3 and 5 have an average of 5. What is the number represented by the letter K?

(b) Re-write the number  as a mixed fraction.

2. (a) The number of pupils in three primary schools is as follows. Iganzo primary school is 1600 pupils, Ruanda primary school is 1500 pupils and Ilea primary school is 1800 pupils. Approximate the number of pupils of the three schools to the nearest thousands.

(b) Calculate  (80kg 49g) – (39kg 850g)

3.(a) (i)Arrange 2/5, 5/8 ,48% and 0.6 in ascending order

(ii) Show on the number line the solution set of the inequality

│2x+1│>3

 (b) Equal squares as large as possible are drawn on a rectangular board measuring 54cm by 78cm. Find the largest size of the squares.

4.(a) Solve 3 -  of (6x+9) = 5-2x

(b) Solve the following simultaneous equations 

2x+3y=5

4x+23=5y

5(a) One - third of the sum of ages of Ana and Asha is 50 years, and one - fifth of the difference of their ages is 2 years, find the age of Ana and Asha respectively.

(b) The width of the football ground is 40m. If the area of the same football ground is  1700m²

(i) find the length of the football ground

(ii) if the person has to walk around the football ground, what length of the football ground is expected to be covered by the person?

6.(a) Differentiate between rational number and irrational number

(b) Sketch the graph of the equation x-2y=4

7. (a) A car was sold at a profit of 90000 shillings. If the rate of profit is  % , find the purchasing price of the car and its selling price?

(b) Mr. Juma deposited a certain amount of money in a bank for a period of 3 years at the rate of 3.5% which gives an interest of 8400 shillings. Determine the amount of money that Mr. Juma deposited initially.

8.(a) (i) John, Ramadhani , Marry and Sam have 600 ,100, 500 and 300 shares in a cooperative shop respectively. Divide 150,000 shs among them in the ratio of their shares.

(ii) A real estate agent received a 6% discount on the selling price of a house . If the discount was Tsh.888,000. What was the selling price of the house ?

9. (a) Study carefully the figure below

1. Find the values of the angles marked p, q and r respectively.

2. Find the value of  p+q+r

(b) If 2x +70⁰ and 3x+20⁰ are supplementary angles, determine the value of x

10.(a) If the straight line CD which is passing through the points C (2 , 6) and D ( K , 3 ) has a gradient of -1, find the value of K.

(b) Find equation of a line passing through point ( 0 , 3 ) and ( 1 , 2 ) 

PRESIDENT OFFICE REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES

COMPETENCE BASED ASSESSMENT

BASIC MATHEMATICS FORM ONE

ANNUAL EXAMINATION 2023

Instructions

Answer all questions from this paper

1. (a) Nine best friends share 52 sweets equally. How many sweets does each friend get and how many remain

(b)A farmer uses  of his farm for giving bananas  pineapple  for mangoes and remaining portion of his land in used for growing oranges. What fraction of his land used to grow orange?

2. (a)A lorry is filed with 7.1 tones of land. During the Journey 210kg of sand either falls or blows away. What mass of sand in tones in delivered at end of Journey?

(b)Juma measured the height of his friend Moses by using a tape measure. He found that his friend was 167.5cm high. Approximate his height

1. To 1 significant figure
2. To nearest ten

3. (a)The perimeter of a square plot is 240m. What length is its side?

(b)A goat is tied on a post by a rope of length 7m

1. Draw the shape of a figure the goat can describe on the land when it is grazing
2. What is the area of land the goat can reach?

4. (a)The length and width of a rectangular field shown below are respectively (x + 6) metres and (x – 1) metres. Let P be the Perimeter of the field. Write the algebraic expression of P in terms of x

(b)A wooden table is bought for Tsh 80,000 and then sold for Tsh 96,000/=. Find

1. The profit made
2. Percentage profit

5. (a)If x= 0.2 and Y = 5 express X and Y in form of  where  and ‘a’ and ‘b’ are integers find value of find value of

(b)Mr. John has three classes. Each class has 28, 42 and 56 students respectively. Mr. John wants to divide each class into groups so that every group in every class has same number of students and there are no students left. What is the maximum number of students Mr. John can put in each group?

6. (a) Rectangular table top is 2m long. If the area of the rectangular table top is 3.96°m². Find its width

(b)Solve simultaneous equation below

7. (a) If Fatuma is 4years less than Bakari and 3times Fatuma’s age is equal to 2 times Bakaris age what are their ages?

(b) Solve

8. (a) John, Ramadhani, Mary and Sam have 60°, 100, 500, and 300 shares in a cooperative shop respectively. Divide 150,000 shs among them in ratio of their shares.

(b)A real estate agent received a 6% discount on selling price of a house. If the discount was Tsh 888,000. What was selling price of the house?

9 (a) Find the sum of 85% of 9861 and  of 12458. Write your answer in two significant figures.

(b)Jenk and Jerry are riding on a circular path. Jenk complete a round in 24 minutes where as Jerry Complete a round is 36 minutes. If they started at the same place and time and go in same direction, after cows many minutes will they meet again at starting point?

10. (a)If the lines whose equation is y=3x – p passes through points (6,10) and (q, 22) Find the values of P and q, where P and q are integers

(b)Asha and Juma received 630,000 shillings from their father. The father wanted to give Asha twice as much as the amount that could be given to Juma. How much did Asha receive?

PRESIDENT OFFICE REGIONAL  ADMINISTRATION

AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES 

COMPETENCE BASED  ASSESSMENT

MATHEMATICS FORM ONE 

MID-TERM EXAMS-AUG – 2023 

Instructions

Answer all questions from this paper

1. (a) Write 624.3278 correct to

1. Five significant figure
2. There denial placer

(b)(i)A rope of 18m and 80 cm is to be divided into four equal part. How long will each part be? Give your answer in meters and centimeters.

(ii) 50% of the content in a box weigh 8kg 40gm. What does the whole content weigh?

2. (a)A rectangular table top is 2m long. If the area of the rectangular table top is 3.96m². Find its length

(b)(i)Solve the following simultaneous equation 

(ii)If fatuma is 4 years less than Bakari and 3 times Fatuma’s age is equal to 2 times Bakaris age, what are their ages?

3. (a)Three bells ring at intervals of 20 minutes, 30 minutes and 40 minutes. If they start ringing together at 7:30am

1. After how long will they ring together again
2. At what time will this be?

(b)Round off 349.678 to nearest 

(i)Tens  (ii) Hundredth   (iii) One significant figure

4. (a)Perform operation    

(b)Find the time in which sh 200,000/= will eam sh 48,000 at the rate of 4% interest per annum.

5. (a)(i)Write the fraction  in order of magnitude starting with the smallest fraction

(ii)Find the product of fraction given in part (a)(i)

(b)Subtract  of Tsh 270,000 from 36% of Tsh 50,000

6. (a)Find the value of the expression

(b)(i)In sales promotion, the price of a shirt costing shs 15,000= is reduced by 15%. What is the new price of the shirt?

(ii)Change  into fraction in its simplest form

7. (a)Find the value of x and y in the following figure

 (b)Suppose a metal wire in bend to form a semi-circle with a radius of 14cm. Find (i) The length of the metal wire 

(ii)The area bound by metal wire 

8. (a)Find the creates common factor (GCF) of 18, 24 and 60

(b)The population of three towns are 65, 600, 13,400 and 29,700 to approximate total to the nearest 

9. (a)Rehema spent  of her salary on Transport and  on food. If she remained with shs 80,000, What was her salary?

(b)Change  into,

(i)Percentage          (ii) Decimal 

10. (a)Lightness, Nancy and zawadi shared some money zawadi got  of the money, Nancy got  of remaining money. What fraction of the money did lightness get?

PRESIDENT OFFICE REGIONAL ADMNISTRATION

AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES 

COMPETENCE BASED ASSEMENT

MATHEMATICS FORM TWO 

MID-TERM EXAMS-MARCH – 2023 

1. (a)Solve

By elimination method

(b)The length of a book exceeds its width by 5cm. Calculate the dimensions of the book given that its area is 50cm²

2. (a) A rectangular table top is 2m long. If the area of the rectangular table top is 3.96m² find its width

(b)(i)Solve the following simultaneous equation 

2x + 3y=5

4x + 23 = 5y

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

3. (a)(i)x² + bx + c= (x – 3) + 2) determine the value of b and c

(i) If x² + ax + 4 = 0 is a perfect square. Find value of a

(iii)Solve the following quadratic equation by completing the square method x²+6x+7 = 0

(b)Solve 

4. (a)Asha and Juma received 630,000 shilling from their father. The father wanted to give Asha twice an much money as the amount that could be given to Juma. How much did Asha receive

(b)Mr and Mrs. Juma deposited some money in a bank that pays a simple interest of 3% per annum. After 4 years they eamed an interest of 900,000 shillings Determine the amount of money 

Determine the amount of money

1. Deposited initially
2. Accumulated after a period of four years

5. (a)if the line equation is y=3x – p passes through points (6, 10) and (9, 22) find the value of P and Q

(b)A mason wants design a small room 500cm. by 200cm. 

(i)Draw a diagram of a room at a scale of 1.100

(ii)Calculate the area of the room using the result of 6 (b)(i)

6. (a)(i)Write 498,030 in words

(ii)Express the number given in part (a)(i) in standard rotation 

(iii)By using listing method, write down lowest common multiple of 3, 10, and 15

(b)(i)Write in numeral; Nine hundred ninety million nine hundred ninety nine thousand, nine hundred and one.

(ii)Determine the number of significant figures in each of numbers, 400, 780 and 0.00606, then approximate each number into one significant figure.

7. (a)Find the value of x in the equation

(b) If , Find the value of x 

8. (a)If  Find value of x and Y

(b)(i) Find value of 0.0000234 x 120 in standard rotation correct is 3 significant figures 

(ii)Rationalize the denominator of the expression

9. (a) A machine that costs shs 180,000 was sold at a profit of 40%. Find the selling price

(b)A father divided shs 150,000 among Rose and Japheth in the ratio of 2:3 respectively. How much money did each get?

10. (a)Find the value of x equation 9 x 3^4x+ = 27^{(x – 1)}

(b)Factorize the expression 6x^4x – 11x + 4 by splitting the middle term.

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, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES

BASIC MATHEMATICS MID TERM EXAMINATION

FORM ONE-2021

 Time: 2:30Hours

Instructions.

1.              This paper consists of TEN compulsory questions
2.              Show all the working and answers in the spaces provided
3.              All writing must be in blue or blank ink, except drawing which should be in pencil
4.              Section A carries 35 marks, section B 50 marks and section C 15  Marks
5.              All answers should be written in the spaces provided.
6.              All communication devices, calculators and any unauthorized material are not allowed in examination room.
7.              Write your number on every page of your answer booklet.

PRESIDENT'S OFFICE  REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT  

ANNUAL EXAMINATION  MATHEMATICS- FORM ONE

Time: 2:30 Hours   November 2020 a.m.

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.Four figure 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 examination room.

1. (a) Write the place value of digits in the brackets

i. 785061        (5) ii.  52401         (2)

(b) Write the following into expanded form 

i.720902              

ii.53901

2.(a) Write 0.003685 correct to 

i) 3-significant figure   ii) 3-decimal places

(b) Convert   into decimal, correct to 2-decimal places.

3. (a) Change 

i) 1608 hrs into 12 – hours clock system   ii) 7:08 pm into 24 – hours clock system

(b) The length of 200 dam is what percent of the length of 1.6 km?

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

(b) 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?  

5. (a) Express   in form of   where b ≠ 0

(b) Solve for x given that 

6.(a) Two complementary angles differ by 12⁰. Find the angles

(b) Two angles of polygon are right angles and each of the remaining is 125⁰. Find number of sides of the polygon and sum of the interior angle.

7.(a) Solve following system of simultaneous equations

4x - 3y = 22

(b) 10 years ago a man was 12 times as old as his son and 10 years from now a man will be twice as old as his son. Find their present age.

8. (a) What is the absolute value of : 

i)  5/6 - 6/7  ii)  -3 x 7

(b) Solve the following

9.(a) A loss of 15% on the price of an item is equal to T.sh 9,000/=. Find the selling price of an item for the profit of 25%.

(b) Find slope, y-intercept and x-intercept of a line 3x + 2y +6=0.

10. (a) In the figure below, find the value of: (i) x (ii) y 

(b) Twice the width of a rectangle is greater than its length by 3cm. If the perimeter of the rectangle is 36cm, find its dimensions 

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 

THE PRESIDENT’S OFFICE

MINISTRY OF EDUCATION AND VOCATIONAL TRAINING

MID TERM EXAMIATIONS

024      MATHS- ONE

Duration: 2:30 Hours

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

1. Write the following into expanded form a) 720902             b) 53901

2. Write the place value of digits in the brackets

a)      985041        (0)

b)     324001        (2)

      3. Express the following as the product of prime factors

      a) 144       b) 208

4   a) Evaluate      96 – [ (15 – 3) – (45 – 15) ] x 10 +4

a)      What percent of 2.8kg is 70g ?

5. Write the following in the form of  a/b  

a)      0.367

b)     06789

6  a)    Represent 7/6 on a number line

b) b) Use number line to multiply -2 x 5

 7.  Change   into    a)Decimal         b) Fraction

 8. Find LCM and GCF of 21, 28, 45 and 36 

9. From a rope  m long, a piece of  m has been cut off. What is the length of the                                                                                                                                                                                                   remaining piece?

 11. Find value of y in the following equation 3y + 2 = 14 

 12.  Find value of x in the below

13.  If 85% of the workers in a factory are males and the number of female is 36. Find total number of workers in a factory.

14. Arrange the following numbers in ascending order

       a) 0.07, -1, 5, -10, 0.5, 0.9

       b)

15. On increasing the price of an article by 6%, the price of an article becomes Sh. 1551. What was the original price of the article?

SECTION B

16. If a – b=2, find value of         25 + 2b + 7 – 2a

                                                               3b – 3a

.

17. a) List all odd numbers between 20 and 40 which are not divisible by 3.

       b) List all prime numbers between 1 and 20

18.  A man is 35 years older than his son. 9 years ago he was six times as old as his son. What is their present age now?

19  Mashaka’s cow produces 19 litres of milk in one day. How many cows should mashaka keep so that he can sell 114 litres in one day? How much money did he get by producing 19 liters’ in a day if 200ml costs Sh. 150/= ?

20     Find      dam      dm    cm

                        18       9         9

                        11        7        5

                     + 31       1         4