FORM TWO MATHEMATICS MIDTERM EXAMS

PRESIDENT’S OFFICE, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES,

MID TERM ONE – MARCH-2024

MATHEMATICS FORM TWO

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

Instructions

1.   Answer all questions 

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  

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FORM TWO MATHEMATICS EXAM SERIES 171  

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

  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  

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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

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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  

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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  

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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)

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