THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL OF TANZANIA
FORM ONE 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.
1(a) Subtract 25% of 24 from 6
(b)On a number line perform an operation of 4 – 3
2(a)Find the sum of
(b)If 0.000701 is expressed in the form A x 10^{n}, where 1≤A<10 and n is an integer, find the value of n
3. Rearrange the order of the digits in the number 5879613 to make it
4.Convert (a) 4 kilometers + 8 hectometers into centimeters
(b)24 hours into seconds
5.(a)Arrange the following numbers from the largest to the smallest
(b)Given the number 0.00803, write the number of significant figures.
6.(a)If a*b= (a – b) / (a + b), find 7*3
(b)A clock loses 4 minutes every day. If the clock is set to start on Monday, on which day will it have lost 1 hour?
7.(a)Simplify
(b) A person borrows Tshs 6,000/= for a period of 6 years at 20% simple interest per annum. Calculate the total amount the person will pay back after 6 years.
8.(a) A straight passes through two A(3,6) and B(6,3) Find the equation of this line in the form of y = mx + c.
(a) A shopkeeper makes 40% profit by selling an article for Tshs. 63,000/= What would be his percentage loss if he sold the article for Tshs 40,000/=?
9. (a)Simplify
(b)Approximate 13.95 and 9.72 to the nearest tens, hence evaluate 13.95 x 9.72 by using the approximated numbers.
(c). The length of rectangle is twice its width. If the perimeter of the rectangle is 18cm, find its area.
10.(a) Solve the equation 0.03x – 0.003 = 0.03
(b)The sum of the ages of David and Juma is 80 years. The difference of their ages is 10 years. Find the age of each of them
(c)Solve the following simultaneous equations.
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 97
THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT
FORM ONE 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.
1. (a) Given the numbers 8, 12 and 24. Write in set notation: { }:
i. The factors of each integer
ii. The first 3 lowest multiples of each number
(b)Find the H.C.F and L.C.M of the numbers 8,12 and 24 by prime factorization or by method in (a)
(c)Evaluate:
(i) (8) – (16) + (10)
(ii)
2. (a)Evaluate:
(i) Value of m if
(ii)
(b)Express: 2hours and 30 minutes as a fraction of hours
(c)Write down the fraction in ascending order of magnitude.
3.(a)(i) Express in the form of a/b and find a+b
(ii)Evaluate:
(b)Write each fraction as a repeating or terminating decimal
i. (ii)
(c)Express: 17.67547 (i) Correct to 3 decimal place (ii) Correct to 3significant figures
4. (a) A lorry can take a load of 15 tonnes once. How many times can a pickup of capacity 3,000kgm take the same amount of 15 tonnes
(b) A plank of wood timber of length 31.5 metres is cut into rectangular pieces of 10.5cm long . How many rectangular pieces can be cut without wasting wood?
(c) Evaluate in terms of hours and minutes
3 x [4hrs + 40 min + 30 sec] and express the result in decimals
5. (a) Factorize
(i) a(c+d) – b(c+d)
(ii) xy + 4x – 2y – 8
(b)Simplify
(c)Expand (3a + b) (x – y)
6. (a)The diagram represent the frame of a picture (shaded).
Find the area of the frame
(b)ADEF represent a trapezium
FE=6cm ED=5cm CD=3cm AB=2cm
Calculate the area of the trapezium
7. (a)Given the points A(2,1), and B(8,9)
Find (i) Length of AB
(ii)The slope of AB
(iii)The coordinates of the midpoint M and AB
(b) Find the equation of the line whose slope is and passing through the point (4,2)
(c)(i)Find the radius of a circle of area 38.5sq.cm, taking
(ii)How many times does the wheel of a car of radius 10cm. Revolve in travelling a distance of 30metres
8. (a)(i)Solve the following simultaneous equations:
(ii)Solve for x
(b)The difference between increasing a number by a number N by 20% and decreasing the same number by 15% is 14. Find N
(c)Solve the following inequalities
(i)
(ii)
9. (a)A 20litreplastic of cooking oil is bought at 100,000/= and sold at 6,000/= per litre. Find the percentage profit.
(b)Convert the following into percentage
(i)
(ii)
(iii)
(iv)0.03
(c)Convert the following percentages into fractions
(i)20%
(ii)0.8%
(iii)
(iv)3.5%
10. (a)Give one mathematical name for the relation between the following angles and write their relation.
(i)
(ii)
(iii)
(iv)
(b)If the angles x°, 2x°, and 3x° are supplementary angles, find the value of x and write down the angles
(c)The angles in a triangle are x°, 2x° and
Find x and indicate the angles in a triangle
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 96
PRESIDENT’S OFFICE
REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT AUTHORITY
BASIC MATHEMATICS MID TERMAUG
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
(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.i3^{̇} 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(n7)
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 _{3}^{1} 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
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
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 69
THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT
FORM ONE BASIC MATHEMATICS TERMINAL EXAMINATION
Time: 2:30 Hours Year: 2021
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 and calculators are not allowed in the assessment room.
1. (a) Write the numerals of the statement: Ninety two million two hundred seventy five thousand two hundred seventy five.
(b) Write the number 2373695 in words.
2. (a) Find the value of 98 – {(15 ÷ 3) – (45 ÷ 15)} × 10 + 4
(b) Simplify the algebraic express and state the coefficient of x: 2( x – 3 ) + 4( 2x + 8)
3.(a) Round off the number 0.007326 correct to:
(i) 3 significant figures
(ii) 3 decimal places
(b) Change the following :
(i) 1608 hrs into 12 – hours clock system
(ii) 7:08 pm into 24 – hours clock system
(iii) 980 dam into centimeters
4.(a) Find the H.C.F of 112, 168 and 420 by prime factorization
(b) The sum of three consecutive odd numbers is 51. Find the numbers.
5. (a) Add the difference of and to the sum of and .
(b) Express in form of where b ≠ 0
6. (a) Solve for x given that
(b) In a School, of the students are boys and the number of girls is 990. Find the number of boys in the School.
7.(a) Three traffic lights at three different road crossings change after 48 seconds, 72 seconds and 100 seconds respectively. If they all change simultaneously at 8:00 am. At what time will they change again simultaneously?
(b) If ,find
(i)
(ii) find n if
8.(a) In the following figure, AB is parallel to PQ  and RS is a transversal. Find the angles labeled a, b, w, x, y, and z.
(b) Use the two figures below to find the values of x and y
9. (a )A father is 24 years older than his son. After 2years, the father’s age will be three times that of his son. Find their present ages.
(b) The length of a rectangular park exceeds its width by 17m. If the perimeter of the park is 178m. Find the dimensions of the park.
10. Solve the following simultaneous equations:
(a) 3x – y = 10
5x + 2y = 24 (Using Elimination Method)
(b) 3x + 4y = 17
5x – 2y = 11 (Using substitution method )
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 62
Student’s Examination No.....................................
THE PRESIDENT’S OFFICE
MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT
SECONDARY EXAMINATION SERIES
BASIC MATHEMATICS MID TERM EXAMINATIONMARCH
FORM ONE2021
TIME: 2.00 HRS
INSTRUCTIONS
(b) Express 1260 as a product of its prime number
(b) How many prime numbers between 40 to 60
(b) (i) convert ¾ into percentage
(ii) Express 3½% as a decimal
(b) Find the following;
2 8 40
+ 489
________________
.
14 300
+ 8917
__________
1
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 53
THE PRESIDENT’S OFFICE
MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT
SECONDARY EXAMINATION SERIES
BASIC MATHEMATICS MID TERM EXAMINATION
FORM ONE2021
Time: 2:30Hours
Instructions.
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 46
PRESIDENT'S OFFICE REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT
ANNUAL EXAMINATION MATHEMATICS FORM ONE
Time: 2:30 Hours November 2020 a.m.
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.Four figure 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 examination room.
1. (a) Write the place value of digits in the brackets
i. 785061 (5) ii. 52401 (2)
(b) Write the following into expanded form
i.720902
ii.53901
2.(a) Write 0.003685 correct to
i) 3significant figure ii) 3decimal places
(b) Convert into decimal, correct to 2decimal places.
3. (a) Change
i) 1608 hrs into 12 – hours clock system ii) 7:08 pm into 24 – hours clock system
(b) The length of 200 dam is what percent of the length of 1.6 km?
4.(a) Find the H.C.F of 112, 168 and 420 by prime factorization.
(b) Three traffic lights at three different road crossings change after 48 seconds, 72 seconds and 100 seconds respectively. If they all change simultaneously at 8:00 am. At what time will they change again simultaneously?
5. (a) Express in form of where b ≠ 0
(b) Solve for x given that
6.(a) Two complementary angles differ by 12^{0}. Find the angles
(b) Two angles of polygon are right angles and each of the remaining is 125^{0}. Find number of sides of the polygon and sum of the interior angle.
7.(a) Solve following system of simultaneous equations
4x  3y = 22
(b) 10 years ago a man was 12 times as old as his son and 10 years from now a man will be twice as old as his son. Find their present age.
8. (a) What is the absolute value of :
i) 5/6  6/7 ii) 3 x 7
(b) Solve the following
9.(a) A loss of 15% on the price of an item is equal to T.sh 9,000/=. Find the selling price of an item for the profit of 25%.
(b) Find slope, yintercept and xintercept of a line 3x + 2y +6=0.
10. (a) In the figure below, find the value of: (i) x (ii) y
(b) Twice the width of a rectangle is greater than its length by 3cm. If the perimeter of the rectangle is 36cm, find its dimensions
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 34
THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT
COMMERCE TERMINAL EXAMINATIONMAY
FORM ONE
TIME: 2HRS 2020
NAME:_______________________________________________ CLASS:___________
INSTRUCTIONS
SECTION A (30 MARKS)
Answer all questions in this section
1. For each of the following items (i) – (x), choose the correct answer from among the given alternatives and write its letter besides it.
(i) The production process in which a farmer grows maize for sale is referred to as
(ii) The label which shows the price of particular goods in a shop is called.
(iii) What is the main purpose of commerce?
(iv) Which one among the following is part of aids to trade?
(v) A person who coordinates all productive resources and bear the business risks is called.
(vi) The best way in which individuals and organizations use to protect their businesses against risks is:
(vii) Examples of free goods are:
(viii) Which of the following presents a disadvantage of barter system?
(ix) Which of the following is not included in commerce flow chart?
(x) Which of the following group presents a broad classification of occupations?
2. Match items in list A with the responses in list B by writing the letter of the correct response below the number of the corresponding item in the table provided.
LIST A  LIST B 


LIST A  i  ii  iii  iv  v 
LIST B 





3. Complete the following sentences by filling in the blanks with the correct term(s)
SECTION B (30 MARKS)
Answer all questions in this section
4. With examples briefly explain the meaning of the following terms
5. a)Define the term supply of labour
b) Mention six factors affecting supply of labour
SECTION C (40 MARKS)
Answer all questions in this section
6. Draw the commerce flow chart and label it clearly
7. Carefully study the table below then complete it by filling in the blanks
Capital  labour  Total product  Average product  Marginal product 
1  1  10 


1  2  25 


1  3  43 


1  4  57 


1  5  66 


1  6  73 


1  7  78 


1  8  81 


1  9  82 


1  10  82 


LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 12
THE PRESIDENT’S OFFICE
MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT
MATHEMATICS TERMINAL EXAMINATIONMAY
FORM ONE
Time 2:30 Hours MAY
Instructions
SECTION A :( 60 Marks)
1. Simplify the algebraic express and state the coefficient of x: 2( x – 3 ) + 4( 2x + 8)
2. Find the value of 98 – {(15 ÷ 3) – (45 ÷ 15)} × 10 + 4
3. Round off the number 0.007326 correct to (a) 3 significant figures (b) 3 decimal places
4. Write the numerals of the statement: Ninety two million two hundred seventy five thousand two hundred seventy five.
5. Write the number 2373695 in words.
6. Find the H.C.F of 112, 168 and 420 by prime factorization.
7. Three traffic lights at three different road crossings change after 48 seconds, 72 seconds and 100 seconds respectively. If they all change simultaneously at 8:00 am. At what time will they change again simultaneously?
8. The H.C.F of two numbers is 18 and their L.C.M is 108. If one of the numbers is 54. Find the other number.
9. Add the difference of and to the sum of and .
10. Express in form of where b ≠ 0
11. Change (a) 1608 hrs into 12 – hours clock system (b) 7:08 pm into 24 – hours clock system
12. Convert 980 dam into centimetres
13. Solve for x given that
14. In a School, of the students are boys and the number of girls is 990. Find the number of boys in the School.
15. Solve for x given that 2(x – 5) + 3(x – 2) = 8 + 7(x – 4)
16. How many kilograms are there in a milligram
17. A sum of money was divided between Mary and Agnes. Mary gets of the whole money and her share is Tshs. 4050. What is the total amount of money?. What is Ashura’s share?
18. Using a number line, add 5 + 2
19. Arrange the numbers 0.35, , 50%, 25 and 0.33
20. A room with length 270cm and width 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 to be left uncovered?
SECTION B: (40 Marks)
21. (a )A father is 24 years older than his son. After 2years, the father’s age will be three times that of his son. Find their present ages.
(b) The length of a rectangular park exceeds its width by 17m. If the perimeter of the park is 178m. Find the dimensions of the park.
(a) 3x – y = 10
5x + 2y = 24
Use substitution method
(b) 3x + 4y = 17
5x – 2y = 11
Use elimination method
23. (a) The sum of three consecutive odd numbers is 51. Find the numbers
(b) A man gave of his money to his son, of the remainder to his daughter and the remaining to his wife. If his wife gets shs 8700, what was the total amount?
24. If ,find (a) (b) find n if
25. Use the two figures below to find the values of x and y
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 11
THE PRESIDENT’S OFFICE
MINISTRY OF EDUCATION AND VOCATIONAL TRAINING
MID TERM EXAMIATIONS
024 MATHS ONE
Duration: 2:30 Hours
Instructions
SECTION A
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
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS EXAM SERIES 8