PRESIDENT’S OFFICE, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES,

MID TERM ONE – MARCH-2024

MATHEMATICS FORMONE

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) Amani deposited Tsh 360,000 in her bank account. If the bank account charges 100 for every withdrawal. Calculate amount of money remained in her account if :

(i) She withdraws Tsh 106,000.

(ii) She makes a further withdraw of Tsh 50,000 from the remained amount

 (b) Re- writes the number 2.43⁰ as mixed fraction

2.         A dog, a cat and a goat have masses 30.7 kg, 13.44 kg and 18.26kg respectively. Calculate the mass of all three animals giving the answer in nearest whole number.

 (b) Round the masses of dog to nearest ones, mass of cat correctly to one decimal place and goat to 3 significant figures

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

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

4.          (a)Write the fractions 2/3, 5/3, 5/8 and ½ in order of magnitude starting with smallest fraction, and find product of fraction above.

(b Subtract 0.03 of Tsh 270,000 from 36% as product of prime.

5.         (a) Write each of  the numbers 18, 24, and 36 as product  of prime factors and hence find their greatest common factor

 (b) Write the numbers 0.009765

1.       Correct to 3 decimal places
2.   Correct to three significant figures
3.  State the place value of 9 in the given number

6.         (a)Write in numerals: Six hundred thousand and sixty six

(b) In a School there is a menu that has already been prepared for students. In every 5 days mango fruits is provided for lunch, every 4 days fish and every 9 days mixed salad. if today all the three types of food given above are in all today’s menu. After how many days will all three types of food be found together in the menu?

7.         (a) Change 0.23⁰ into fraction

(ii) Amos scores 27 marks out of 45 scores in mathematics. What percentage is this?

(b) Approximate 13.95 and 9.72 to nearest tens, hence evaluate 13.95*9.72 by using approximated numbers

8.         The age of the Father is three times the age of his son. If the sum of their ages is 64 years. Find their age.

(b) In a sales promotion, the price of a shirt costing Sh 15000 is reduced by 15%.  What is the new price for the shirt?

(a) Find the value for this expression.

  -3(+1-)

9.         (b) An article was sold for Tshs 160,000 at the profit of 25%. Find the buying price of the article.
10.     (a) The sum of two numbers is 127. If the difference between the number is 7.  Find the number

(b) Find the value of 0.0000234*120 in standard notation correct to three significant figures 

PRESIDENT OFFICE REGIONAL ADMNISTRATION

AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES 

COMPETENCE BASED ASSEMENT

MATHEMATICS FORM TWO 

MID-TERM EXAMS-MARCH – 2023 

1. (a)Solve

By elimination method

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

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

(b)(i)Solve the following simultaneous equation 

2x + 3y=5

4x + 23 = 5y

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

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

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

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

(b)Solve 

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

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

Determine the amount of money

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

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

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

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

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

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

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

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

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

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

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

(b) If , Find the value of x 

8. (a)If  Find value of x and Y

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

(ii)Rationalize the denominator of the expression

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

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

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

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

THE PRESIDENT’S OFFICE

MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES

BASIC MATHEMATICS MID TERM EXAMINATION

FORM ONE-2021

 Time: 2:30Hours

Instructions.

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

THE PRESIDENT’S OFFICE

MINISTRY OF EDUCATION AND VOCATIONAL TRAINING

MID TERM EXAMIATIONS

024      MATHS- ONE

Duration: 2:30 Hours

Instructions

• This paper consists of two sections A and B. 
• Answer all questions in all sections
• Show clearly all working for each question 

SECTION   A

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

2. Write the place value of digits in the brackets

a)      985041        (0)

b)     324001        (2)

      3. Express the following as the product of prime factors

      a) 144       b) 208

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

a)      What percent of 2.8kg is 70g ?

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

a)      0.367

b)     06789

6  a)    Represent 7/6 on a number line

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

 7.  Change   into    a)Decimal         b) Fraction

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

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

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

 12.  Find value of x in the below

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

14. Arrange the following numbers in ascending order

       a) 0.07, -1, 5, -10, 0.5, 0.9

       b)

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

SECTION B

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

                                                               3b – 3a

.

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

       b) List all prime numbers between 1 and 20

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

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

20     Find      dam      dm    cm

                        18       9         9

                        11        7        5

                     + 31       1         4