FORM TWO MATHEMATICS EXAMS SERIES

 

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.
  2.    Answer all 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

LEARNINGHUBTZ.CO.TZFORM TWO MATHEMATICS EXAM SERIES 131

THE UNITED REPUBLIC OF TANZANIA

PRESIDENT’SOFFICEREGIONALADMINISTRATIONANDLOCALGOVERNMENT 

COMPETENCY BASED EXAMS

FORM TWO PRE-FTNA ASSESSMENT

041 BASIC MATHEMATICS

TIME:2:30hours                                                                                                       October,2022

Instructions

  1. This paper consists of 10 questions.
  2. Answer all 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

LEARNINGHUBTZ.CO.TZFORM 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%

LEARNINGHUBTZ.CO.TZFORM 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

LEARNINGHUBTZ.CO.TZFORM 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

image

(ii) Evaluate image

(iii)Evaluate

image

(c)Evaluate

image.

Write your answer in repeating decimal notation

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

image

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 image is isosceles where AD=BD and E and C are the mid-points of AD and BD

image

Prove that image (congruent)

4. (a)Evaluate

i. image

ii. image

(b)Solve for x and y

i. image

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

(c) If image, make p the subject

5. (a)Find the value of

i. image

ii. image

(b)Find x

i. image

ii. image

(c)With the use of common logarithm find x

i. image

ii. image

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

image

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

image

(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. image (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; image as a perfect squire

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

(b) Factorize.

i. image

ii. image

iii. image

(c) Evaluate image

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: image by

i. Factorization

ii. Completing the square (using the formula)

(b) Solve the following simultaneous equation

i. image


ii. image

(c)Solve the following inequalities

i. 3x + 6 < 10 – 5x

ii. image

LEARNINGHUBTZ.CO.TZFORM TWO MATHEMATICS EXAM SERIES 105

PRESIDENT’S OFFICE

REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

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 – 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 x° is 18° less than y°. Find the values of x° and y°.

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 36°30’ at a point 5 metres from the foot of the tree. Calculate.

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

1

LEARNINGHUBTZ.CO.TZFORM 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

image

                                                                                     

Instructions

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

2.      Answer ALL 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 image in form of  image, where b 0.

 

 

 

 

 

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

How many girls do not wear spectacles?

 

 

 

 

 3.      image(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.

image

 

 

 

 

 

 

 

(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 image-4x+2 = image9. Find the value of X.

 

 

 

 

(b)       Rationalize image writing the answer in the form aimage 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

image

                                                                          E                                                                       

 

 

 

 

 

 

 

 

8.                  (b)       Use the figure below to prove that triangle ADB Triangle ADC

 

                                                            A

image

                          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   image.

 

 

 

 

 

 

 

 

 

 

10.              (a)        In the Venn diagram below:

 

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

F =  { Members in the football team}

image

 

(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.

 

 

 

 

 


LEARNINGHUBTZ.CO.TZFORM 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

 

 

 

 

 

 

LEARNINGHUBTZ.CO.TZFORM 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

LEARNINGHUBTZ.CO.TZFORM 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

LEARNINGHUBTZ.CO.TZFORM 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.

10. Add the following

 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)

LEARNINGHUBTZ.CO.TZFORM 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)

LEARNINGHUBTZ.CO.TZFORM TWO MATHEMATICS EXAM SERIES 7

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