FORM TWO MATHEMATICS EXAMS SERIES

PRESIDENT’S OFFICE, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES,

MID TERM ONE – MARCH-2024

MATHEMATICS FORM TWO

Time: ...........

Instructions

2.   All necessary working and answers for each question must be shown clearly.

3.   NECTA Mathematical tables and non-programmable calculator may be used.

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

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

(b) Re- writes the number 1.35 as mixed fraction

1.         The numbers of pupils in three Primary schools are as follows: Iganzo Primary Scchool 1600 pupils, Ruanda primary school 1500 pupils, Ilea Primary School 1800 pupils. Approximate the number of pupils of three schools to nearest thousands.

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

1.         (a) One – third of sum of ages of Anna and Asha is 50 yrs and one fith of difference of their ages is 2 yrs. Find the age of Anna and Asha respectively

(b) The width of a football pitch is 1700cm2. Find

1.      The length of football ground
2.   If a person walks around the pitch, what is the length of a football ground does the person cover?
1.         (a)Mr Amuti has three classes. Each class has 28, 42, and56 students respectively. Mr. Amuti wants to divide each class into groups so that every group and every class has the same number of students left over. What is the maximum number of students Mr Amuti can put into each group?

(b) A lorry carries 7.2 tonnes of sand from mining area to industrial site. On the way 230kgs of sand fall off. What is the remaining mass at the end of the journey?

1.         (a) Write 624.3278 to correct to
1.      Five significant figures
2.   Three decimal place

(b) A rope of 18m and 80cm is to be divided into four equal parts. How long will each part br. (give your answer in meter and centimeter

1.         (a)Solve 3 - of (6x+9)=5-2x

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

1.         (a) John, Ramadhani, Marry and Sam have 600, 100, and 300 shares in a cooperative shop respectively. Divide 150,000 sh among them in a ration 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. Find the selling price of the house.

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

(b) Express 2.79 as a fraction in form a/b where a and b are integers and b#0

(ii) Arrange 2/5,  5/7, 48% and 0.6 in ascending order.

1.         (a) Solve for x if x+2+17=8

(b) If log 2= 0.30103, and lob 3 = 0.47712, evaluate log 48

1.     (a) The line through the point A (k,4) and B (3,2k) has a slope to that y+3x-4=0. Find value of k

(b) The scale of a map is given by 1:50,000. Calculate the ground distance which is represented by 408cm on the map

FORM TWO MATHEMATICS EXAM SERIES 171

FORM TWO MATHEMATICS EXAM SERIES 171

AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES

COMPETENCE BASED  ASSESSMENT

MATHEMATICS FORM TWO

MID TERM EXAMS-AUG – 2023

041

Time: 2:30 Hours                                                                                 AUG, 2023

INSTRUCTIONS

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

3.    All writing must be in blue or black ink, except drawings which should be in pencil

4.    All communication devices, programmable calculators and any unauthorized materials are not allowed in the examination room

1 a) The traffic lights at three different road crossing changes after every 48 seconds, 72 seconds and 10 seconds respectively. If they change simultaneously at 7a.m at what will they change simultaneously again?

b)  If x = 0.567567567... and y – 0.83 by converting these decimals to

fractions, find the exact value of  in simplest form

2   a) If T=

Find the value of t

b)   Write ‘’L’’ in terms of M, N and T from the formula =

c)  Determine the value of x if log5(x+1)-1=log5(x-3)

3.            a) A lorry carries 7.2 tonnes of sand from the mining area to the industrial site. One the way 230kg of sand either fall off or blow away. What mass of sand will remain by the end of the journey? Give the answer in tonnes b) An article was sold for sh 160,000 at a profit of 25% find the buying price

of the article

4.            a) Solve for the quadratic X2 – 8x +7 = 0

b)   Solve for x and y if;

5.            a) The sum of two numbers is 127. If the difference/ between numbers is 7, find the numbers.

b)   If : = 2:3

FORM TWO MATHEMATICS EXAM SERIES 161

FORM TWO MATHEMATICS EXAM SERIES 161

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

1. (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?

1. (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

1. (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
1. (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)

1. (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.

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

(b) If , Find the value of x

1. (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

1. (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?

1. (a)Find the value of x equation 9 x 34x+ = 27(x – 1)

(b)Factorize the expression 6x4x – 11x + 4 by splitting the middle term.

FORM TWO MATHEMATICS EXAM SERIES 140

FORM TWO MATHEMATICS EXAM SERIES 140

THE UNITED REPUBLIC OF TANZANIA

PRESIDENT’S OFFICE REGIONAL ADMINISTRATION AND LOCAL     GOVERNMENT

COMPETENCY BASED EXAMS

FORM TWO PRE-FTNA ASSESSMENT

041 BASIC MATHEMATICS

TIME: 2:30 hours                                        October, 2022

Instructions

1.    This paper consists of 10 questions.
3.    Cellular phones are not allowed in the Examination rooms.
4.    Write you examination number on every page of your answer sheet(s)

 FOR EXAMINER’S USE ONLY QUESTION NUMBER SCORE EXAMINER’S INITIAL 01 02 03 04 05 06 07 08 09 10 TOTAL CHECKER’S INITIAL

1.                                (a)( i) Find the sum of all prime numbers between 3 and 23 inclusively.

(ii) When two different signs are multiplied, a product is obtained. Multiply the product obtain with a negative sign. Give the last sign you  Will obtain.

1.  Change 0.  into a simplest fraction then express your answer into percentage

1.    (a) Write 0.07 correct to

(i) Four significant figures

(ii) Four decimal places

(b) write 20.025 into hundredth.

(c) Aisha’s mom took 30 minutes to cut the vegetables, and she took 1 hour in cooking.    Find how many Seconds she took to complete the whole cooking?

3. (a) In the figure below M<RTS = 80

FORM TWO MATHEMATICS EXAM SERIES 131

FORM TWO MATHEMATICS EXAM SERIES 131

THE UNITED REPUBLIC OF TANZANIA

COMPETENCY BASED EXAMS

FORM TWO PRE-FTNA ASSESSMENT

041 BASIC MATHEMATICS

TIME:2:30hours                                                                                                       October,2022

Instructions

1. This paper consists of 10 questions.
3. Cellular phones are not allowed in the Examination rooms.
4. Write you examination number on every page of your answer sheet(s)
 FOR EXAMINER’S USE ONLY QUESTIONNUMBER SCORE EXAMINER’S INITIAL 01 02 03 04 05 06 07 08 09 10 TOTAL CHECKER’S  INITIAL

1.    (a)( i) Find the sum of all prime numbers between 3 and 23 inclusively.

(ii) When two different signs are multiplied, a product is obtained. Multiply the product obtain with a negative sign. Give the last sign you  Will obtain.

1. Change 0.  into a simplest fraction then express your answer into percentage
1. (a) Write 0.07 correct to

(i) Four significant figures

(ii) Four decimal places

(b) write 20.025 into hundredth.

(c) Aisha’s mom took 30 minutes to cut the vegetables, and she took 1hour in cooking.    Find how many Seconds she took to complete the whole cooking?

3. (a) In the figure below M<RTS = 80

FORM TWO MATHEMATICS EXAM SERIES 129

FORM TWO MATHEMATICS EXAM SERIES 129

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

COMPETENCY BASED SECONDARY EXAMINATION SERIES

BASIC MATHEMATICS FORM TWO

INSTRUCTIONS

1. This paper consist of ten (10 questions
2. Answer all questions in the spaces provided
3. Show clearly all necessary working
4. Where necessary mathematical table may be used
5. Cellular phones, calculators and any unauthorized materials are not all allowed in examination room
6. Write your index number at the top right corner of every page.

1. Re-arrange the digits in the number 391587 to form the largest and smallest possible numbers.
2. (a)Given that  Find the value of T and B

(b) Find the value of n if

1. Find the size of the angle marked “a” in the figure below

1. (a) Find the time in which Tsh 400,000 will earn Tsh 96,000 at the rate of 12%

(b)What is the product of LCM and GCF of 16,24 and 36

1. (a)Given (x + 40°) and (2x + 5°) are complementary angles, find the value of x

(b)Rationalize the denominator to the simplest form

1. (a)Factorize the expression 6x2 – 11x + 4 by splitting the middle term

(b)By using elimination method solve for x and y in

4y – 41=-14x

6x – 30 – 10y

1. (a)If  Find the value of b

(b)By using mathematical table evaluate

1. (a)The line  passed through the point A(2,y) and (5,7) have the slope of. What is the value of y?

(b)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)?

1. In a class of 60 students 47 are taking physics while 33 are taking mathematics. If there are 2 students who are taking neither Physics nor Mathematics and 22 are taking both Physics and mathematics
1. Represent this information by Venn diagram.
2. How many students are taking mathematics only?
1. The following are the Mid-term test marks of 80 form two Mathematics students from Mtoni Secondary School
 Marks in % 25 35 45 50 65 75 80 85 Numbers of students 14 18 11 10 5 14 2 6

1. Which mark was scored by largest number of students?
2. Which mark was scored by small number of students?
3. What is the difference between the number of students passed the test and those who failed if the pass mark was 50%

FORM TWO MATHEMATICS EXAM SERIES 119

FORM TWO MATHEMATICS EXAM SERIES 119

THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL OF TANZANIA

FORM TWO 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.

6. Write your Assessment Number at the top right corner of every page.

1. (a) Calculate the sum of the GCF and LCM of 42, 45, 50.

(b)

2.(a) Convert (i)256800cm into km

(ii)0.125 into percentage

(b) Round off (i) 260743 to the nearest thousand

(ii) 0.04261 to three decimal places

3.(a) Factorize the expression

(b)

4. (a) Make A the subject of the formula

(b) If 4tanB=3 and B is an acute angle, find the value of;

1. Cos B
2. 4 tan B + sin B

(c) A straight line passes through two points A(-3, 6) and B (-6, 3). Find the gradient of the line AB

5. (a) Find (i) the largest possible number; and

(ii) The smallest possible number by changing order of the digits in 47986.

(b).Write 0.0.346 in standard form.

6. (a) In a certain office, every man owns either a car or a lorry or both 23 own lorries, 14 own cars and 5 own both lorries and cars. How many men are there in that office?

(b) .Joyce used 1/3 of her money to buy sugar, 1/4 of it to buy soap and she remained with Shs 35/=

1. How much money did she have at the beginning?
2. How much money did she use to buy sugar?

7. (a) Simplify

(b)Use a number line to find the sum of

(c)Arrange 2/5, 5/8, 48% and 0.6 in ascending order of magnitude.

(d)Decrease 160,000 by 16%

8. (a) Rationalize the denominator of

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

9. (a)Without using Tables evaluate

(b)Given A=1/2 where A is an acute angle, find the value of 1 – cos2 A.

10. (a) Simplify

(b)If N=2x10-8 find the value of 1/N in scientific form

(c) Find the equation of a line through the point (2, -2) crossing the y-axis at the same point as the whose equation is

FORM TWO MATHEMATICS EXAM SERIES 106

FORM TWO MATHEMATICS EXAM SERIES 106

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

FORM TWO 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.

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

ATTEMPT ALL QUESTIONS

1. (a)(i)List down all the prime numbers between 1 and 12 and represent the numbers on the number line

(ii) Find the H.C.F and L.C.M of the numbers 8, 12 and 20 by prime factorization

(b)(i) Evaluate

(ii) Evaluate

(iii)Evaluate

(c)Evaluate

.

2. (a) The distance between two points is 30.567km. Write the distance in metres in one significant figure

(b) The velocity of a car between two stations AB and BC is 40m/sec and 60km/hr. respectively. Find the average velocity in m/minute assuming that AB and BC are straight roads

(c)If 6,000/= amount to 9,600/= in five years simple interact what is the percentage rate?

3. (a) Given that the rectangle ABCD is similar to rectangle MBCN below

AB=10 BC=6 and

NC=x

(i )Find the value of x

(ii) Verify that the ratio of the areas = k2 where k is the ratio of the sides

(b)If  is isosceles where AD=BD and E and C are the mid-points of AD and BD

Prove that  (congruent)

4. (a)Evaluate

i.

ii.

(b)Solve for x and y

i.

ii. If x=5 and y=3, Find the value of ,

(c) If , make p the subject

5. (a)Find the value of

i.

ii.

(b)Find x

i.

ii.

(c)With the use of common logarithm find x

i.

ii.

6. (a) A and B are two intersecting circles of radius 4cm and 6cm respectively. Find the area enclosed by AB, is 10cm2, find the area enclosed by the circles (shaded)

(b) In figure below, Triangles ABD and ABC are two isoscetes triangles CD=36cm, AB=12cm and  Find the area of the figure ACBD

(c)Find the area of squire whose length of the diagonal = 6cm

7. (a)Find the equation of the line perpendicular to the 2y – x – 6=0 and passing through the point (4,6)

(b) Represent the equation in (a) in forms

i. y=mx+c

ii.  (A and B are x-intercept and y-intercept)

(c) The point A (4, 3) is reflected in the line y=x. What are the coordinates of the image?

8. (a)(i)Express;  as a perfect squire

(ii) If (6+x)(8+x) =  find the value of a and b

(b) Factorize.

i.

ii.

iii.

(c) Evaluate

9. (a) An item is sold at 480,000/= with profit of 20%

i. Find the ratio of the buying price to the selling price

ii. If the same item would be sold at 360,000/= what would be the percentage lose ?

(b)Find the interest for a principal of 100,000/= at 4% compound interest after 10years

(c)Tarimo wants to borrow 10 million Tanzania shillings from a Bank to promote his business. The Bank agree to charge his compound interact at 10% per year. How much interest Mr. Tarimo will owe the bank at the end of 5 years?

10. (a)Solve the equation:  by

i. Factorization

ii. Completing the square (using the formula)

(b) Solve the following simultaneous equation

i.

ii.

(c)Solve the following inequalities

i. 3x + 6 < 10 – 5x

ii.

FORM TWO MATHEMATICS EXAM SERIES 105

FORM TWO MATHEMATICS EXAM SERIES 105

PRESIDENTâ€™S OFFICE

SECONDARY EXAM SERIES

FORM 2 BASIC MATHEMATICS

SECTION A (60 MARKS)

1. Rearrange the digits 39175 to form

1. The greatest possible number
2. The smallest possible number

2. Mary used tiles to build the floor of her sitting room measuring 15m by 20m. If she used only whole ones and they were alike, what was the greatest size of each tile?

3. The operation on the integers P and Q is defined as P*Q=PQ + 2P-3Q, find the value of

1. 2*3
2. Q if 2*Q=20

4. Find

5. Factorize the expression 15x2 + xy â€“ 6y2

6. In 2011 the population of a village was 800. It increased by 20% the following year. What was the population in the year 2012?

7. In triangle ABC below xÂ° is 18Â° less than yÂ°. Find the values of xÂ° and yÂ°.

8. If find the value of

9. Find the length of time between 0425 hours and 1812 hours

10. If the product of 5 integers is negative, What is the maximum number of integers in that product which are positive?

11. Make L the subject of the formula.

12. Simplify the expression

13. Find the rational number in the form  where a and b are integers and  from the Number

14. Given that  Find the value of x +y.

15. Factorize the expression  hence use the result to evaluate:

16. Find the equation of a line which passes through the points A(4,2) and B(5,3) giving your answer in the form y=mx + c

17. Express the following numbers in scientific notation   (A)72500 (B)0.001325

18. Solve for x in the equation

19. If=1. Find the value of x

20. If shs.600/= amounts to 960=for 5years, what is the percentage rate of simple interest per annum?

SECTION B (40 MARKS)

21. (a)Given that

(b)Use Mathematical tables to find the value of

22(a) Let A and B be two sets such that n(A)=52, n(B)=60 and (AUB)=96. Find tn(A-B)

(b)In a certain area 50 householders were asked if they had a radio set, a T.V. set or both 40 householders said they had a T.V. set, 30 had both a radio set and a T.V. set and 2 householders had neither. With the help of a Venn diagram, how many householders had a radio set but no T.V set?

23. The upper part of a tree broken by the wind falls to the ground without being detached. The top of the broken part touches the ground at an angle of 36Â°30â€™ at a point 5 metres from the foot of the tree. Calculate.

24. (a)The pie â€“ chart below shows the number of students in one examination Centre in Different subjects sat for the national examination.

1

FORM TWO MATHEMATICS EXAM SERIES 95

FORM TWO MATHEMATICS EXAM SERIES 95

THE PRESIDENT’S OFFICE

MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

COMPETENCE BASED  SECONDARY EXAMINATION SERIES

ANNUAL  EXAMINATION

FORM TWO

BASIC MATHEMATICS

# 041

TIME: 2:30 HOURS                                                      November, 2021

Instructions

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

3.      Each question carries ten (10) marks.

4.      Show clearly all the workings and answers in the spaces provided.

5.      All writings must be in blue or black ink except for drawings which must be in pencil.

6.      Four figures/mathematical tables, geometric instruments and graph papers may be used where necessary.

7.      Calculators, cellular phones and any unauthorized materials are not allowed in the examination room.

8.      Write Your Examination Number at the top right corner of every page.

 FOR EXAMINER’S USE ONLY QUESTION NUMBER SCORE EXAMINER’S INITIALS 1 2 3 4 5 6 7 8 9 10 TOTAL CHECKER’S INITIALS

1.      (a) Three bells ring at intervals of 20 minutes, 30 minutes and 40 minutes. If they start            ringing together at 7.30 am

(i)                 After how long will they ring together again?

(ii)              At what time will this be?

(b)       Round off 349.678 to the nearest.

(i)               Tens

(ii)            Hundredth

(iii)          One significant figure

2.      (a) Write  in form of  , where b ï‚¹ 0.

(b)       In a class of 40 students  are boys. Two fifth of the girls wear spectacles.

How many girls do not wear spectacles?

3.      (a)  Perform:

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

4.      (a) Calculate the angles marked with letters X, Y and Z.

(b)       Find the area of rectangle whose perimeter is 30cm and its length and width are  (3W-7) cm and (W+2) cm respectively.

5.      (a) Factorize the expression

6x2 – 11x + 4 by splitting the middle term.

(b)       The sum and difference of the two numbers are 9 and 3 respectively.  Find the possible numbers.

6.      (a) (i)         Find the equation of the straight line passing through (3,5) and (7,9).

(ii)       Calculate the gradient and coordinates of the y-intercept of 2x+3y=12.

(b)       Find the image of a point (-4, 3) after a reflection on y-axis followed by  another reflection on y=0.

7.      (a) If -4x+2 = 9. Find the value of X.

(b)       Rationalize writing the answer in the form a where a, b, c and d  are real.

(c)       Given log2 = 0.3010, log3 = 0.4770 and log7 = 0.8451. Find the value of log294.

8.      (a) Calculate the length of EC and CD in figure below:

B                                                                           D

E

8.                  (b)       Use the figure below to prove that triangle ADBï‚º Triangle ADC

A

C                               D                                       B

9.                  (a) A rectangle has sides of 12mm and 16mm. Calculate the length of one of its     diagonals.

(b) Calculate the exact value of   .

10.              (a)        In the Venn diagram below:

U = { Boys in form II at a certain secondary school}

F =  { Members in the football team}

(i)                 How many boys are in the football team?

(ii)              How many boys are in both teams?

(iii)            How many are in the football team but not in the basketball team?

(iv)             How many are neither basketball nor football team?

(v)               How many boys in form II at the school?

10.       (b)       The table below shows the distribution of the score of 60 students in    Mathematics table at MJI MWEMA secondary school.

 Marks % 45 – 55 56 – 66 67 – 77 78 – 88 89 - 99 No. of students 11 15 X 17 10

(i)                 Find the value of X.

(ii)              Find the percentages of the student score ate most 77 marks.

FORM TWO MATHEMATICS EXAM SERIES 73

FORM TWO MATHEMATICS EXAM SERIES 73

Student’s Assessment Number……………..……

MINISTRY OF EDUCATION AND VOCATION TRAINING

MID TERM EXAMINATIONS

041                                                 BASIC MATHEMATICS

TIME 2:30 HOURS                                                                               AUG: 2021

Instructions

1. This paper consists of ten (10) compulsory questions.
2. Show clearly all the working and answers in a space provided.
3. All writing must be in blue or black ink except drawing must be in pencil.
4. Mathematical tables, geometric instruments and graph papers may be used where necessary
5. All communication devices and calculators are not allowed in assessment room.
6. Write your assessment Number in top write corner of every page.

FOR ASSESSOR’S USE ONLY

 QUESTION NUMBER SCORE ASSESSOR’S  INITIALS 1 2 3 4 5 6 7 8 9 10 TOTAL CHECKER'

1. (a)  Find the sum of all prime numbers between 80 and 100

(b)  Round off:

(i) 9.67 to ones,

(ii) 0.205 to one decimal place,

(iii) 0.197 to two decimal places,

Hence, estimate the value of

2.          (a)  Evaluate   0.4 + 25%  (0.220.2) +  0.45)

(b)  If the new price of selling shoe is 40000Tsh. Findthe percentage increase of price if the old price was 30000Tsh.

3.          (a)  If the bus starts the journey from Babati at  0600 and takes eight hours and a half to reach at Chemba bus  terminal. Write the time taken to reach in 24 hours clock.

(b) If 50000Tsh of money was invested at a bank which provide the rate of 5%. Find the amount at a bank after 4 years.

4        (a) Find the value of  an angle marked in letter f,g and k in the figure below.

b) Find the perimeter of square ,if its area is 36cm2

5 (a)   The sum of two numbers is 127. If  thedifference between the number is 7, Find the numbers

(b)  Solve the equation   by using quadratic formula.

6   a) If the line passes through the point (3,4) and (2,6). Find

1.  The slope of the line.

1. The equation of line in form of Y = MX+C

b)  The vertices of the triangle are A(2,2) , B (3,4) and C (4,3). If the triangle is reflected under x-axis ,Write down the coordinate of the image of points A, B and C

1.  (a)Find the value of p given that  ()2p +1 = ()3p.

(b)   (i) Find the value of 0.0000125  in standard notation.

(ii) Simplify the expression (3 +  ) (4  )

8 (a) solve for the x in the inequality

3X – 4>, X+16

(b) Factorize the expression a2-b2

Hence find the exact valueof 6722-3282

9 the right angled triangle in the figure below has sides of length 7, 24 cm and 150cm

S

(a)Calculate the value of.

(b)Calculate the area of the triangle

10   (a) There are 48 men at the meeting of whom 24 are teachers, 36 are parents and 16 are both teachers and parents . By using venndiagram , find the number of men who are neither teacher nor parents.

b)  The marks of 100 student were recorded as follow,

 Marks 41 - 50 51 -60 61 - 70 71 - 80 81 -90 91 - 100 Number of students 10 22 34 25 7 2
1.                                                                                                                                                                                                             Which mark were scored by many student  ………………………………….
2.                                                                                                                                                                                                          Which marks was the lowest mark ………………………………………………….
3.                                                                                                                                                                                                       If 50% was the pass mark of the test if above 50%, How many student passed examination

FORM TWO MATHEMATICS EXAM SERIES 70

FORM TWO MATHEMATICS EXAM SERIES 70

Candidate’s Examination Number………………………………

THE PRESIDENT’S OFFICE

MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES

BASIC MATHEMATICS MID TERM EXAMINATION

FORM TWO-2021

Time: Hours       20th March 2021

Instructions

1. This paper consists of ten (10) compulsory questions.
2. Answer all questions showing clearly all the working and answers in the spaces provided.
3. All writing must be in blue or black ink except drawing which must be in pencil.
4. All communication devices and calculators are not allowed in the examination room.
5. Write your Examination Number at the top right corner of every page.

---------------------------------------------------------------------------------

1. (a)  Find the sum of the LCM and GCF of 13, 52 and 104.

(b) Juhudi village received 586 389 bags of fertilizers for distribution to farmers. Round off this number to the nearest thousands and ten thousands

1. (a) Find the unknown numbers in the following equivalent fractions.

(b) Change  into a recurring decimal

1. (a) Change 15 km into centimeters

(b) Find the time in which sh.200 000 will earn sh.48 000 at the rate of 4% simple interest per annum.

1. (a) In the following figure, find the size of the angles labeled and. (give reasons for your answers)

(b) A square has an area of, find its perimeter.

1. (a) Find the equation of the straight line passing through the points. (Express your answer in the form).

(b) Solve the absolute valued equation:

1. The sum of interior angles of a regular polygon is.
1. Find the number of sides of the polygon
1. Find the size of each exterior angle
1. What is the name of the polygon? ____________________________
1. (a) Find the value of in the equation:

(b) Factorize the expression  by splitting the middle term.

1. (a) Rationalize the denominator and simplify

(b) Given the formula:   make  the subject of the formula.

1. (a) What number must be added to the expression  to make it a perfect square?

(b) Given that  find the value of

1. (a) Use the factors of the difference of two squares to find the value of

(b) Solve the following pair of simultaneous equations by elimination method

Page 1 of 8

FORM TWO MATHEMATICS EXAM SERIES 54

FORM TWO MATHEMATICS EXAM SERIES 54

Candidate’s Examination Number………………………………

THE PRESIDENT’S OFFICE

MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES

BASIC MATHEMATICS MID TERM EXAMINATION

FORM TWO-2021

Time: Hours       20th March 2021

Instructions

1. This paper consists of ten (10) compulsory questions.
2. Answer all questions showing clearly all the working and answers in the spaces provided.
3. All writing must be in blue or black ink except drawing which must be in pencil.
4. All communication devices and calculators are not allowed in the examination room.
5. Write your Examination Number at the top right corner of every page.

---------------------------------------------------------------------------------

1. (a)  Find the sum of the LCM and GCF of 13, 52 and 104.

(b) Juhudi village received 586 389 bags of fertilizers for distribution to farmers. Round off this number to the nearest thousands and ten thousands

1. (a) Find the unknown numbers in the following equivalent fractions.

(b) Change  into a recurring decimal

1. (a) Change 15 km into centimeters

(b) Find the time in which sh.200 000 will earn sh.48 000 at the rate of 4% simple interest per annum.

1. (a) In the following figure, find the size of the angles labeled and. (give reasons for your answers)

(b) A square has an area of, find its perimeter.

1. (a) Find the equation of the straight line passing through the points. (Express your answer in the form).

(b) Solve the absolute valued equation:

1. The sum of interior angles of a regular polygon is.
1. Find the number of sides of the polygon
1. Find the size of each exterior angle
1. What is the name of the polygon? ____________________________
1. (a) Find the value of in the equation:

(b) Factorize the expression  by splitting the middle term.

1. (a) Rationalize the denominator and simplify

(b) Given the formula:   make  the subject of the formula.

1. (a) What number must be added to the expression  to make it a perfect square?

(b) Given that  find the value of

1. (a) Use the factors of the difference of two squares to find the value of

(b) Solve the following pair of simultaneous equations by elimination method

Page 1 of 8

FORM TWO MATHEMATICS EXAM SERIES 53

FORM TWO MATHEMATICS EXAM SERIES 53

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

MATHS- TERMINAL EXAMINATION-MAY

FORM TWO

Time 2:30 Hours                                                                   MAY 2020

Instructions

• This paper consists of two sections A and B.
• Answer all questions in both sections
• Show clearly all working for each question
• Geometrical instruments and graph paper may be used where necessary
• Use

SECTION A (60 MARKS)

1. a) Rearrange the following in ascending order

b) Write 56 as the product of prime factors

2. Express  in form of  where p and q are both integers and

3. A room of length 270cm and 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 left to be uncovered and how many tiles will be used?

4. Round off 34.9545 correct to i) Two significant figure  ii) One decimal places

5. Write the following into 24-hours system  i) 03: 15 Pm  ii) 01: 01Pm

6. Given  , find   i) 64*3   ii)  a if

7. Two angles of pentagon are 580 and 380 and the other remaining three are in the ratio of 5:6:7. Find the largest angle.

8. Given a straight line 2y+5x+1=0, f

Fnd a) Slope  b) y-intercept   c) x-intercept

9. Two supplementary angles differ by 120. Find the angles.

11. Anna is two years older than betty. Last year, Anna was two times as old as Betty. What is their age?

12. Make r-subject of formula in the following

13. Express in the form of

14. Use method of difference of two squares to evaluate  the following

i)   ii) 0.9852 – 0.0152

15. Given log2=0.3010 and log7=0.8451, without using logarithm table evaluate:

a) log1.25   b) log 3.5

16. Factorize the following expression

a)15t2-14t-8=0        b) (2c+3)2 – c2

18.Simplifythe following

a)

b)

19. Expand the following

a) [y- 3] [ + y ] b) (6n - )2

20. For value of P which makes the following equations perfect square

(i) x2 – Px +16=0

(ii) x2 - x + P=0

SECTION B (40 MARKS)

21. a) From the quadratic equation  show that

b) By using general formula of quadratic equation solve the following equation

22. The figure ABCD below is rectangle with sides as shown where C1 and C2 are two quarter circles inside it.

Find:

a) Value x and y shown in the figure

b) Perimeter of the rectangle

c)Area of the rectangle ABCD

d) Area of the shaded region

23.a)  A rope is tired at the top of the flagpole and the other end of the rope is fixed on a point 36m from the base of the flagpole. If the flag pole is 15m high, what is the length of the rope?

b) In the figure below find the length of PQ and PS if QR=8cm, RQ=12cm and PR=17cm.

24. A farmer sold a quarter of his maize harvest and give one third of the remaining to his relatives. If the farmer remained with 36 bags of maize, find:-

a) How many bags of maize did the farmer harvest.

b) How many bags of maize did the farmer sold.

25. a) By using logarithm tables, evaluate

b) Evaluate the following without using logarithm tables:

(i)

(ii)

(iii)

FORM TWO MATHEMATICS EXAM SERIES 14

FORM TWO MATHEMATICS EXAM SERIES 14

THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION AND VOCATIONAL TRAINING

MID TERM EXAMIATIONS

024      MATHS- TWO

Duration: 2:30 Hours

INSTRUCTIONS.

• This paper consists of two sections A and B.
• Answer all questions in both sections
• Show clearly all working for each question
• Geometrical instruments and graph paper may be used where necessary

SECTION A (60 MARKS)

1. Write the place value of digits in the brackets

a)      1485361           (8)

b)     7524693            (2)

2.  Write the following into expanded form

a) 470059             b) 1290400

3. Round off 309.437 correct to

i) 2-significant figure  ii) 2-decimal places

4. Change the following into 12-hours system

i) 0404 hours  ii) 0028 hours

5. Convert the following into fraction

i) 0.34   ii) 2.13

6. Find the greatest number that is exactly divides 360 and 456

7. Find solution of   and show it no the number line.

8. Divide Sh. 1690 among Peter, Juma and Ali in the ratio of

9. There are 180 members of a committee. In a meeting,  were present. How many members were absent?

10. Find

11. Simplify the following

a)

b)

12. Solve the following equation

13. Find slope, x-intercept and y-intercept of line 5x-2y-7=0

14. The ratio of exterior to interior angle of regular polygon is 5:7.

Find number of sides of the polygon and total degree measure of the polygon.

15.  In a figure beside, AB//CD and line PQ and RS are transversal line. Find values of the angles marked x, y and z

16. In how many years would sum of the money double itself at 8% rate per annum?

17. Factorize the following expression a) 8x2 + 2x -3   b) x2-15x +58

18. By selling a computer for Sh. 800,000/=, a profit of Sh. 200,000/= is earned. Find the percentage profit.

19. Simplify the following

i)

ii)

20. Make v subject of the formula the following equation

SECTION B (40 MARKS)

21. a) From the quadratic equation ax2+bx+c=0, show that

b) By using general formula of quadratic equation solve the following equation

22.John's father is 5 times older than John and John is twice as his sister Alice. In two years time the sum of their age will be 58. What is their present age?

23. a) Simplify the following by rationalizing the denominator

i)

ii)

b)   Find value of P which makes the following equations perfect square

i) x2 – 8x +P=0

ii) x2 - x + P=0

24 a) If   , evaluate:

i)

ii) Find r if

b) Solve for x the following

i)

ii)

25. a) Expand the following

i)

ii)

b) Factorize the following

i)

ii)

FORM TWO MATHEMATICS EXAM SERIES 7

FORM TWO MATHEMATICS EXAM SERIES 7

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