FORM TWO MATHEMATICS MIDTERM-2 EXAMS

PRESIDENT’S OFFICE REGIONAL  ADMINISTRATION

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

2.    Show your work clearly

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  

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FORM TWO MATHEMATICS EXAM SERIES 161  

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  

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FORM TWO MATHEMATICS EXAM SERIES 119  

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

 

 

 

 

 

 

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