FORM ONE MATHEMATICS MIDTERM-2 EXAMS

STUDENT’S NAME: _____________________

PRIME MINISTER’S OFFICE REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

FORM ONE MIDTERM EXAMINATION

041 BASIC MATHEMATICS

Time: 2: 30 hours September

INSTRUCTIONS

  1. Answer all questions in these papers
  2. All communication devices and any unauthorized materials are not allowed in the examination room.
  3. Write your FULL NAME on every page of your answer sheet
FOR EXAMINERS’ USE ONLY 
QUESTION NUMBER  SCORE  EXAMINER’S INITIALS 
1. 

2. 

3. 

4. 

5. 

6. 

7. 

8. 

9. 

10. 

TOTAL 

CHECKER’S INITIALS

1. (a) There are 200 birds in a flock. 120 of them are female. What percentage of the flock are female?

(b) In the election there are 7531047 registered male voters and 6023047 registered female voters.

Estimation, how many more male than female are there?

2. Represent the following on the number lines

a) −2 < x < 4 where x is a Real number

b) −5 ≤ x < 1 where x is an Integer

3. (a) Three relatives share 21,000,000 Tz shillings so that the first receives twice as much as the second, and the second receives thrice as much as the third. How much does the first receive?

(b) Given that a: b = 7: 8 and b: c = 3: 5, find a: b: c

4. (a) If  and , find the product of x and y

(b) The age of a father is four times the age of his son. If the sum of their ages is 60 years, find the age of the father.

5. (a) Write 47658.07515 correct to: 

  1. 3 significant figures 
  2. 2 decimal places 
  3. the nearest tens

(b) 5 is subtracted from twice a certain number, the result is less than 17. Find the number.

6. (a) The cost of 4 pencils and 5 pens together is 6,000 Tanzanian shillings, while the cost of 6 pencils and 8 pens together is 9,400 Tanzanian shillings. Calculate the cost of one pencil and one pen.

(b) Express 12½% as a ratio in the lowest term

7. (a) Determine the number of significant figures in each of the following numbers.

  1. 2.3004 
  2. 0.00002 
  3. 0.00165000 
  4. 0.0804 
  5. 4,002,000,000 
  6. 3,000 km

(b) Given that |2x + 3| ≤ 7, solve for x and show the solution on the number line

8. (a) Write an equation

  1. Five times a number gives twenty.
  2. The difference between 123 and another number is 150.

(b) Solve the following linear simultaneous equations by substitution method

9. Akaida has 83,000 Tanzanian shillings for shopping. If he buys 2 ties and 2 shirts, he remains with 9,000 Tanzanian shillings. If he buys 1 tie and 3 shirts he spends all the money. Find the price of a tie and a shirt

10. One-third of the sum of two numbers is 50 and one fifth of their difference is 2. Find the numbers.

FORM ONE MATHEMATICS EXAM SERIES 287  

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FORM ONE MATHEMATICS EXAM SERIES 287  

PRESIDENT OFFICE REGIONAL  ADMINISTRATION

AND LOCAL GOVERNMENT

SECONDARY EXAMINATION SERIES 

COMPETENCE BASED  ASSESSMENT

MATHEMATICS FORM ONE 

MID-TERM EXAMS-AUG – 2023 

Instructions

Answer all questions from this paper

 

  1. (a) Write 624.3278 correct to
  1. Five significant figure
  2. There denial placer

(b)(i)A rope of 18m and 80 cm is to be divided into four equal part. How long will each part be? Give your answer in meters and centimeters.

(ii) 50% of the content in a box weigh 8kg 40gm. What does the whole content weigh?

  1. (a)A rectangular table top is 2m long. If the area of the rectangular table top is 3.96m2. Find its length

(b)(i)Solve the following simultaneous equation 

 

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

  1. (a)Three bells ring at intervals of 20 minutes, 30 minutes and 40 minutes. If they start ringing together at 7:30am
  1. After how long will they ring together again
  2. At what time will this be?

(b)Round off 349.678 to nearest 

(i)Tens  (ii) Hundredth   (iii) One significant figure

  1. (a)Perform operation    

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

  1. (a)(i)Write the fraction  in order of magnitude starting with the smallest fraction

(ii)Find the product of fraction given in part (a)(i)

(b)Subtract  of Tsh 270,000 from 36% of Tsh 50,000

  1. (a)Find the value of the expression

(b)(i)In sales promotion, the price of a shirt costing shs 15,000= is reduced by 15%. What is the new price of the shirt?

(ii)Change  into fraction in its simplest form

  1. (a)Find the value of x and y in the following figure

 

 

 

 (b)Suppose a metal wire in bend to form a semi-circle with a radius of 14cm. Find (i) The length of the metal wire 

(ii)The area bound by metal wire 

  1. (a)Find the creates common factor (GCF) of 18, 24 and 60

(b)The population of three towns are 65, 600, 13,400 and 29,700 to approximate total to the nearest 

  1. (a)Rehema spent  of her salary on Transport and  on food. If she remained with shs 80,000, What was her salary?

(b)Change  into,

(i)Percentage          (ii) Decimal 

  1. (a)Lightness, Nancy and zawadi shared some money zawadi got  of the money, Nancy got  of remaining money. What fraction of the money did lightness get?

FORM ONE MATHEMATICS EXAM SERIES 143  

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FORM ONE MATHEMATICS EXAM SERIES 143  

PRESIDENT’S OFFICE

REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT AUTHORITY 
 

BASIC MATHEMATICS MID TERM-AUG

FORM ONE

TIME: 2:30 HRS

Instructions

Answer all Ten questions

Show all the workings clearly for score awards

Only mathematical tools and writing materials are allowed in the examination room Write your name on each answer script

1. (a) Round 34.796 to the

  1.              Nearest hundredth
  2.           Two decimal places
  3.         Ones

(b) Identify the numbers which are both prime and odd numbers from

15,17,19,21,23,25,27,29,31,33,35, and 37

2. (a) (i) Write 15, 12 and 21 as the product of prime number

(ii) Use the answers in (i) above to deduct the LCM and GCF and the sum of

the LCM and GCF.

(b). Evaluate 3+ (5x(-2+7)) ÷(6+(-3))

3. (a) Compute the difference between the product of -50 and -10 and the sum of -50 and -10 (b) Simplify 3a – 5b - 7a + 6c + 7a + 8b

4. (a) Re – arrange the following fractions in descending order 7 ⁄ 12,3⁄4,5⁄ 6,2 ⁄ 3,1 ⁄2

(b) Express 2.i3̇ in the form of ⁄ where b≠0 and a and b are integers.

5. (a) Evaluate 28% of the two third of 4,500cm. (b) If m = 2 and n = 2. Compute

 (ii) 3(m+2) – 5(n-7)

 

6. (a) A bus leaves the bus station at 06:43am and it takes 2hours and 48 minutes to 
reach the destination. What is the arrival time in 24 hours clock system?

(b) Allan set out a travel from Kilalo village to Mandu ward which are 450km apart. He cycled the first 31 of the distance; ran 1 2 of the remaining distance and walked the rest. How many metres did Allan walk?

 

 

 

 

 

 

 


7. (a) Gedion was given four number cards with digits 5,2,3 and 9 to formulate the largest and the smallest possible four digits numbers. Write down the numbers that Gedion formed.

(b) Azam biscuit factory packs biscuit in packets of 18, 48 or 60 biscuits each. Identify the smallest number of biscuits that the factory packs in any of these quantities without any biscuit being left over.

8. (a) The sum of two consecutive whole numbers is 109 what are the two numbers? (b) Round off

  1.                 9.67 to ones
  2.               0.205 to one decimal place
  3.            0.0197 to two decimal places

Hence use the results to estimate the value of 9.67  0.205

0.0197

9. (a) Compute the value of the unknowns from the diagrams below

 

(b) In constructing angles, Amani realized 160° is an interior angle of a regular polygon. He further realized that the regular polygon have n sides and m total internal degrees for the interior angles. Evaluate n and m values.

10. (a) In Namabengo village 70 percent of 1200 cows are black and 22.3 percent of 18000 donkeys are white. Determine the sum of black cows white donkeys.

(b) How many hours, minutes and seconds are there in 5,480 seconds?

All the best

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