?> MATHEMATICS STANDARD SIX EXAMS SERIES
MATHEMATICS STANDARD SIX EXAMS SERIES

 

PRIMARY EXAMINATION SERIES

COMPETENCE BASED ASSESSMENT

TERMINAL EXAM MAY 2024

SUBJECT: MATHEMATICS      CLASS :  P6

NAME: …………………………………………………..   DATE: ......................................

NO

QUESTIONS 

WORKING SPACE 

ANSWER 

 

Write the following numbers in numerals 

 

 
  1.  

Six million and sixteen 

 

 
  1.  

Two thousand and twenty one 

 

 
  1.  

One million, sixteen thousand and six 

 

 

 

Write the following numbers in words 

 

 
  1.  

2013 

 

 

 
  1.  

1,234,567

 

 

 
  1.  

2001 

 

 

 

 

Write the following number in expanded 

 

 
  1.  

9,875 

 

 

 
  1.  

2001 

 

 

 
  1.  

23467 

 

 

 

 

Write the following number in short form 

 

 
  1.  

9000  +  200  + 10  + 9 

 

 

 
  1.  

1,000,000  + 2000  +  400 +  90  + 5 

 

 

 
  1.  

7000  + 20  +  2 

 

 

 

 

Write the place value of the underlined digit 

 

 
  1.  

1481357 

 

 

 
  1.  

1385613 

 

 

 

 
  1.  

99356

 

 

 

 

Write the following decimal in words 

 

 
  1.  

0.234 

 

 

 
  1.  

150.05 

 

 

 
  1.  

1.5 

 

 

 

 

Approximate the following decimal to one decimal place 

 

 
  1.  

500.875 

 

 

 
  1.  

0.653 

 

 

 
  1.  

0.785 

 

 

 

 

Find the G.C.F of the following numbers 

 

 
  1.  

6 and 12 

 

 

 

 

 
  1.  

10 and 12 

 

 

 

 

 

Find the L.C.M of the following numbers 

 

 
  1.  

3 and 6 

 

 

 
  1.  

4 and 8 

 

 

 

 

Change the following percentages into decimal 

 

 
  1.  

60% 

 

 

 
  1.  

45% 

 

 

 

 

Convert the following decimals into fraction 

 

 
  1.  

0.2 

 

 

 
  1.  

0.45 

 

 

 

 

Convert the following fractions into percentage 

 

 
  1.  

¾  

 

 

 

 
  1.  

10 ½ 

 

 

 

 

Add the following numbers 

 

 
  1.  

369  +  1573 

 

 

 
  1.  

  2484

+1248

 

 

 

 

Subtract the following numbers 

 

 
  1.  

4000  - 1909 

 

 

 
  1.  

70005  

-3214

 

 

 

Approximate the following numbers to the nearest hundreds 

 

 
  1.  

165806 

 

 

 
  1.  

4653 

 

 

 
  1.  

631845 

 

 

 
  1.  

Find the product of the L.C.M and G.C.F  of 5 and 10 

 

 

 

 
  1.  

Find the sum of the L.C.M  and G.C.F  of 6 and 12 

 

 

 

 

Answer  the following question correctly 

 

 
  1.  

Find the square root of 625 

 

 

 

 
  1.  

Find the area of the triangle below 

 

 

 

 

 

 

 

 
  1.  

Find the area of a rectangle whose length is 36cm and the width of 20cm.

 

 
  1.  

Calculate 214  x 83 

 

 

 
  1.  

A class has a total of 50 pupils. If 20 pupils are girls, Find the percentage of girls 

 

 

 

 

 

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LEARNINGHUBTZ.CO.TZMATHEMATICS STANDARD SIX EXAM SERIES 98

PRESIDENT’S OFFICE, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

PRIMARY EXAMINATION SERIES

NEW FORMAT BASED-STANDARD SIX EXAMINATION

SUBJECT: MATHEMATICS

MID TERM -1 MARCH 2024

TIME: 1:40HR

Instructions: 

  1. This paper consists of three sections; A, B and C with a total of 8 questions
  2. All answers must be written in blue or black ink.
  3. Remember to write your name and other particulars in the given spaces.
  4. Answer all questions according to the instructions in each section.
  5. Keep your work neat and smart.
  6. Cellular phones, tablets and calculators are not allowed in the examination room.

 

SECTION A: ANSWER ALL QUESTIONS 10MARKS 

Solve the following questions by showing the clear methods and providing correct answers in the answer sheets provided. 

QUESTION No.1 (10 marks) 

  1. Find the place value of digit 8 in 67876097
  2. What is the total value of six in the number 76598970
  3. Write in roman numbers: 982
  4. Write in words: 1,001,201
  5. Write in numerals; three million, four hundred and eight six thousands, two hundred and five.
  6. Juma has 400 chicken, 3000  sheep and 126 goats. Write the total number of animals he has in words
  7. The pupils discussed to write a number in figures, if 6 was in tens,1 in Hundredths and 0 in thousandths. Which number did they write correctly?
  8. A library has 5256,423 exercise books. It is expected to receive 2,491,708 more books. How many books will be there in total?
  9. A school made 1800, bricks for construction, the mason used 904,235 bricks to build a classroom. How many bricks remained?
  10. A residential plot is sold at 300,000 shillings. How much will four such plots cost

 

SECTION B: (30MARKS)  

QUESTION No.2 (6 marks) 

  1. Find the LCM OF 36 and 54
  2. Find the GCD of 24 and 64
  3. Use factorization to find the GCD of 90 and 162
  4. Find the smallest number that can be divided by 18, 36 and 27 without remainder
  5. Find the factors of 3, 4 and 6 less than 40
  6. If bars in umoja are opened for 36 hours in a week. What is the percentage of time bars are opened in a week
  7. Mary use 15% of her time for cleanliness, 10% for physical exercise and 20% of remaining time to study. If he used the remaining time for travel, what fraction of his time is this?

 

QUESTION No.3 (6 marks) 

  1. Find the prime numbers between 30 and 40
  2. The minutes hand of a wall clock is 20cm long. What is the distance covered by the ends of the hand in one hour?
  3. The sum of three consecutive numbers is 24. Find the smallest number.
  4. The price of motor cycle increased from shs.3,000,000 to shs. 4,500,000. What is the percentage increases in price?

 

QUESTION No.4 (6 marks) 

  1. 72 pupils attended a class. If 20% of  the students were absent what is the total number of pupils in that class?
  2. Anna shop is opened at 0900 hours and closes at 1730 hours everyday. How many hours does Anna spend to sell for 2 days.
  3. Kazi moto has 122 kilograms, 952 grams of maize. His brother has 348 kilograms and 370 grams of maize. How many grams do they have in total?

 

QUESTION No.5 (6 marks). 

  1. Majengo primary school has 28 teachers of which 18 are female. What is the fraction of the male teachers?
  2. Zakayo has seven dairy cows. If each cow gives 5 litres of milk every day. How many litres of milk does she get per week.
  3. Kyambo’s car travels a distance of 20km with a speed of 80km per hour. What time does it take to cover the whole journey?

 

QUESTION No.6 (6 marks) 

  1. Ali harvested 6/7 of onions and Zaituni harvested 1/9 of onions from the same shamba.Find the difference in fractions of onions harvested.
  2. Maendeleo primary school planted 104 tree seedlings in the school farm. If a quarter of the trees dried up, how many trees died?
  3. Multiply 8kg 50g by 5

 

SECTION C: ANSWER ALL QUESTIONS 10MARKS 

 QUESTION No.7 (6 marks) 

  1. Jenipher shamba is in the shape shown below. The shaded part is used for growing onions while the unshaded part is for tomatoes. Find the area used to grow onions.

  1. In the figure below, find the size of angle ABC.

  1. The area of a rectangular plot is 130 m2. If its length is 1,300 cm, find the perimeter of the plot.
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LEARNINGHUBTZ.CO.TZMATHEMATICS STANDARD SIX EXAM SERIES 90

OFFICE OF THE PRESIDENT

REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

PRIMARY EXAMINATION SERIES

MID TERM 2-AUGUST-2023

MATHEMATICS STANDARD SIX

 

INSTRUCTIONS

  1. This paper consists of sections A and B with a total of forty five (45) questions.
  2. Answer all questions in each section.
  3. Read all instructions in the special answer sheet (OMR)
  4. Fill in all required information in the OMR form and on the page with questions. 41 to 45.
  5. Shade the digits of your Examination Number in the respective places of the OMR form.
  6. Shade the letter of the correct answer for question 1 to 40 in the answer sheet provided. For example, if the correct answer is A shade as follows:

A

B

C

D

E

 

  1. If you have to change your answer, you must use a clean rubber to rub out the shading neatly before shading the new one.
  2. Use HB Pencil only to answer question 1 to 40 and blue or black ink pen for questions 41 to 45
  3. Show all work clearly for question 41 to 45 in the space provided on OMR form
  4. Cellular phones and any unauthorized materials should not be used

 

NO

QUESTION

WORKING SPACE
  1.  

What is the difference between 3.4096 and 2.39?

(a)2.1609 (b)0.1096 (c)1.0196 (d)1.9016 (e)0.0196

 
  1.  

Write the following number in short 

700,000 + 20,000 + 0000 + 700 + 60 + 5

(a)942760 (b)720765 (c)92476 (d)72000765 (e)7200065

 
  1.  

The school forest had 882009 trees. If 48878 trees were harvested and 33167 trees burned. How many trees were left?

(a)799,969 (b) 979,964 (c)799,064 (d)9,799,964 (e)799,964

 
  1.  

Jumbabovu he had a total 3,645,987 cows. What is the total of those cows in the nearest tens of thousands?

(a)3,654,310 (b)3,645,300 (c) 3,650,000 (d)3,645,0003 (e)3,646,000

 
  1.  

Revenue collections for five consecutive years were listed by number. 3, 5, 8, 13 and 20. What is the income for the sixth year in a now?

(a)27 (b)31 (c)20 (d)29 (e)30

 
  1.  

Joan calculated the value of (-3) – (-3) + (-6). Which is the correct answer?

(a)-6 (b)6 (c)-12 (d)+12 (e)0

 
  1.  

Multiply 5kg 50gm by 50 (a)252kg 50gm (b)2500kg 50gm (c)250kg 2500gm (d)252kg 500gm (e)252kg 5000gm

 
  1.  

Deka has the ability to plow field in 6 days, and Cheko has ability to plow a field in a 12 days. If they cultivated the field together. How many days will they cultivate it? (a)18 (b)8 (c)4 (d)6 (e)12

 
  1.  

Think of a number, then subtract twelve from that number, the answer is equal to a quarter of that number. What is that number? (a)4 (b)-12 (c)33 (d)12 (e)16

 
  1.  

5y + 15 students ate 350 oranges. Find the value of “y” if each student ate one orange. (a)77 (b)37 (c)67 (d)186 (e)87

 
  1.  

Mwanaharusi has 16,500/= shillings. What percentage of money is missing to buy 3 dozen of exercise books, if the price of one exercise book is 500 shillings 

(a)83.3% (b)8.3% (c)25% (d)0.83% (e)12.7%

 
  1.  

The sum of five consecutive numbers with four alternating is 315. Which is the biggest number among them (a)63 (b)55 (c)83 (d)101 (e)71

 
  1.  

Kwetukahe a donkey and some ducks. The total number of legs and heads of both ducks and donkeys is 99. If the number of ducks is twice the number of donkeys. Find the number of donkeys of Kwetukahe

(a)18 donkeys (b)33donkeys (c)9 donkeys (d)31 donkeys (e)12 donkeys

 
  1.  

Jafari and Mary they shared 4,800 shillings. Jafari got 2000 shillings and Mary got 2,800 shillings. What ration did they share? 

(a)7:5 (b)20:28 (c)5:7 (d)5:14 (e)10:14

 
  1.  

Five students competed to run 4 phases by reducing 8 steps for each phase. If they started from stage 61. Which one finished all the stages in correct order?

(a)61,69,77,85 (b)61,55,71,78 (c)61,53,41,35 (d)61,53,45,37 (e)61,53,47,31

 
  1.  

Which types of fractions when simplified, give composite fractions? (a)proper fractions (b)Improper fractions (c) Oval fractions (d)big fractions (e) straight fractions.

 
  1.  

A soda bottle has a volume of 500ml. How many deciliters do 12 cartons of soda bottles carton contain if each contains 24 bottles? (a)14.4 deciliters (b)1.44 deciliters (c)144 deciliters (d)1440 deciliters (e)144000 deciliters 

 
  1.  

Sikujua’s grandmother was born in 1788, and Sikujua was born in 2018. What is the difference in the age of Sikujua’s Grandmother and Sikujua?

(a)MDCCLXXXV (b)MMXX (c)XCV (d)CCXXX (e)LXX

 
  1.  

Calculate the square root of 948676 (a)664 (b)974 (c)976 (d)984 (e)90704

 
  1.  

Find the sum of the following numbers

(a)36 (b)61 (c)576 (d)638 (e)656

 
  1.  

Simplify the following equation 2(3m – 2n + 5m)

(a)11m – 2n(b)12+m – n(c)16m – 4n(d)16m+4n (e)4m-4n

 
  1.  

Find the value of “y” in the following equation; 4 + 3(y – 1)=10 (a)1 (b)4 (c)-2 (d)-6 (e)3

 
  1.  

Which order shows the odd numbers between 60 and 70?

(a)1 week 1 day (b)2 week 3 days (c)1 week 24hours (d) 1.1 week (e)2 week 1 day

 
  1.  

It took 192 hours for Mwamtumu to finish her work in the field. That time is equal to how many weeks and days?

(a)1 week 1 day (b)2 week 3days (c)1 week 24hours (d) 1.1 week (e)2 week 1 day 

 
  1.  

The average weight of five sacks of rice is 81kg. If the weight of three of those sacks is 73kg, 91kg and 85kg. Find the weight of one of the remaings sacks if their weight are the same (a)156kg (b)81kg (c)91kg (d)78kg (e)71kg 

 
  1.  

504251 what is the value of underlined digit?

(a)Tens thousands (b)thousands (Tens (d)Hundreds (Hundreds thousands 

 
  1.  

Find the size of angle ADR in the following figure.

 

 (a)100° (b)20° (c)90° (d)80° (e)30°

 
  1.  

The athletes ran a distance of 24 kilometers from the Ushirika Stadium to Mweka which is in the north of the field. Then head south east for 30 kilometers and reach Himo. Find the distance between the Ushirika Stadium and Himo

(a)18km (b)14km(c)20km (d)42km (e)24km

 
  1.  

Find the area of the faces of rectangle prism if all its faces are closed

 

 (a)522cm2 (b)1044 cm2 (c)450 cm2 (d)900 cm2 (e)744 cm2

 
  1.  

Extension Officer distributed 200.25litres of pesticides to the 267 farmers. How much volume did each farmer get?

(a)1.33 Liter (b)7.5liter (c)1.33 milliliter (d)750 milliliter (e)7.5 milliliter

 
  1.  

1 left Arusha at 04:50pm and arrived in Dodoma after 4:35 hours. What time did I arrive in Dodoma? Write your answer in 24 hour format. (a)2125 (b)1035 (c)1845 (d)2325 (e)2025

 
  1.  

Chiku bought a radio for 450,000 shillings and then sold it for 360,000 shillings. How many decimals did Chiku lose? (a)0.2% (b)20% (c)90000/= (d)0.25 €0.2

 
  1.  

Angle ERM in the following diagram represents one of the angles of Mr.Chatu’s house. What kind of angle is this?

 

 (a)acute angle (b)obtuse angle (c)reflex angle (d)square angle (e)straight angle

 
  1.  

The rectangular prism has a height of 18cm, a length of 53cm and width of 29cm. find the size of the rectangle. Write your answer in the nearest hundreds. (a)sm3 27,656 (b)sm327,700 (c)sm3 27,666 (d)sm2 6026 (e)sm3 6026

 
  1.  

Find the value of “t” in the following figure.

 

 (a)149° (b)38° (c)49° (d)211° (e)62°

 
  1.  

Johari put 8000,000 shs bank for  years and got a profit of 1,540,000 shs, how much interest does the bank gave?

(a) (b) (c) (d)(e)

 
  1.  

The father’s age is three times the age of his son. If the age of his son in 24 years old, how old is the father? (a)54 years (b)51 years (c)60 years (d) 72 years (e)27 years

 
  1.  

The following shape is trapezium, find its perimeter

 

(a)76cm (b)84cm (c)96cm (d)384cm (e)108cm

 
  1.  

A football field has a perimeter of 140 meters, if the width of the field is (x – 2) meter and its length is meters, find the area of the field.

(a)540 m2 (b)100m2 (c)500m2 (d)200m2 (e)640 m2

 
  1.  

Find the area of the shaded region (use )

 

(a)42cm2 (b)154cm2 (c)22cm2 (d)50cm2 (e)196cm2

 

SECTION B: (10 Marks) MATHEMATICAL OPERATION, FIGURES AND WORD PROBLEMS For each of the questions 41 – 45, use a blue or black pen to work out the answer in the space provided on the OMR form.
  1.  

In the athletic competition. Hamisi went around the following compound 10 times, is it the same as running how many kilometers? (Use 

 

 

 
  1.  

Massawe had 16 pens and 24 pencils. He decided to distribute 10 pens 15 pencils to his friends. If he sold the remaining number of pens for 300 shillings each, remaining pencils for, 200 shillings each, what was the total amount of money he got?

 
  1.  

Irene bought the following items: 10kg of rice @ 3,500 shs, 3kg of flours @1,200shs, 3½kg of sugar @2800shs, 2½ of cooking oil @ 6000shs. How many shillings did she have left if she had seven notes of 10,000/=shs each

 
  1.  

Write the coordinate point of “E” that completes the square figure EFGH as follows H(0,0), G(),3), F(-3,3) and E(x,y)

 
  1.  

In Mjongweni Primary School, if a student gets an A grade in any subject, the school owner pays the teacher 10,000 shs for each A, as motivation in his subject. If science Teacher got 450,000shs how many students got grade A in that subject? 

 

 

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LEARNINGHUBTZ.CO.TZMATHEMATICS STANDARD SIX EXAM SERIES 77

OFFICE OF THE PRESIDENT

REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

PRIMARY EXAMINATION SERIES

STANDARD SIX TERMINAL EXAMINATION MAY-2023

MATHEMATICS

SECTION A

  1. 60,114 – 42,987 =


  1. 18237
  2. 17,127
  3. 18,027
  4. 18,127
  5. 18,137


  1. 109.2 ÷ 6 =


  1. 18.2
  2. 1.82
  3. 0.182
  4. 0.0182
  5. 182.0


  1. 87 x 102 =


  1. 8,774
  2. 8,764
  3. 8,874
  4. 8,864
  5. 8,884








  1. 2,040 ÷ 12 =


  1. 1700
  2. 107
  3. 17
  4. 170
  5. 200


  1. Find 12% of 5,000


  1. 600
  2. 60
  3. 6000
  4. 6
  5. 4,400


  1. If M =3, N=4, Calculate the value of (M2 – N2)(M – N)


  1. -7
  2. -8
  3. 12
  4. 8
  5. 7


  1. Find the Lowest Common Multiple (LCM) of 6, 8 and 12.


  1. 1
  2. 2
  3. 72
  4. 24
  5. 48


  1. If x=3 and y=5, find the value of (x – y)2


  1. -2
  2. 4
  3. -4
  4. -16
  5. 16


  1. The square of


  1. 7
  2. 14
  3. 28
  4. 49
  5. 2401


  1. Write the number 269 as a Roman number.


  1. CCXLIX
  2. CCLXXV
  3. CCLXXI
  4. CCLXVI
  5. CCLXIX


  1. Find the missing number in the following sequence of numbers ......., 200, 205, 210.


  1. 105
  2. 165
  3. 195
  4. 185
  5. 199


  1. The following figure is a circle whose diameter is 56cm. Find the circumference. (


  1. 242cm
  2. 166cm
  3. 176cm
  4. 342cm
  5. 352cm


  1. Find the value of x in the following figure:

 


  1. 10
  2. 30
  3. 90
  4. 20
  5. 40


  1. If the length AD is equal to length DC, find the area of triangle ABC.


  1. 10cm2
  2. 12cm2
  3. 15cm2
  4. 20cm2
  5. 30cm2


  1. The perimeter of the following rectangle is 26cm. find its width.


  1. 4cm
  2. 6cm
  3. 8cm
  4. 9cm
  5. 3cm


  1. The area of a rectangular vegetable garden is 160m2 and its width is 8m. If John wants to put a fence around the garden, how long shall the fence be?


  1. 20m
  2. 28m
  3. 40m
  4. 56m
  5. 80m


  1. 45 percent of Kamota Primary School pupils like Mathematics. If the school has 400 pupils, how many of them do not like mathematics?


  1. 420
  2. 220
  3. 210
  4. 355
  5. 210




  1. 4,801 + 375 =


  1. 5,616
  2. 5,176
  3. 4,176
  4. 5,166
  5. 5,716


  1. 887,967 – 436,856 =


  1. 450,001
  2. 451,001
  3. 51,011
  4. 451,111
  5. 415,111


  1. If a=2, b=4, and c=1, find the value of 


  1. 6
  2. 14
  3. 1
  4. 0
  5. 4


  1. List the even numbers that are found between 64 and 75


  1. 65, 70
  2. 66,69,72
  3. 67, 71, 73
  4. 66, 68,70, 72, 74
  5. 65, 67, 69, 71, 73.


  1. Find the lowest common Multiple (L.C.M) of 12 and 15:


  1. 27
  2. 3
  3. 1
  4. 120
  5. 60


  1. Find the square number of 19


  1. 361
  2. 281
  3. 381
  4. 261
  5. 161


  1. Find the value of B if A:B = 9:1, and A= 81


  1. 135
  2. 115
  3. 125
  4. 145
  5. 155


  1. Simplify: -3(y + x) – 2y.


  1. -3y – 2x + 2y
  2. -5y – 3x
  3. 5y – 3x
  4. -3y – 3x – 2y
  5. -5y + 3x


  1. Find the surface area of the cylinder below which is open on one side


  1. 1,254cm2
  2. 1,354cm2
  3. 1,286cm2
  4. 1,232cm2
  5. 1,386cm2


  1. Find the perimeter of the isosceles triangle PQR BELOW.


  1. 116cm
  2. 80cm
  3. 3cm
  4. 40cm
  5. 76cm


  1. Find the value of angle m in the figure below:


  1. 110°
  2. 55°
  3. 100°
  4. 140°
  5. 125°


  1. There are 480 pupils in Grade seven at Maendeleo Primary school. If  of the pupils are girls, Find the difference between the number of girls and boys at the school.


  1. 280
  2. 760
  3. 40
  4. 80
  5. 200


  1. Mr. Mahenge has 1, 560 cattle among which 35% are calves, 100% are bulls and the rest are female cows. How many female cows does Mr. Mahenge have?


  1. 858
  2. 156
  3. 546
  4. 702
  5. 390


  1. A baby slept for 7 hours from 7:40am in the morning.At what time did the baby wake up?


  1. 2:40pm
  2. 1:40pm
  3. 11:20am
  4. 2:40am
  5. 11:20pm


  1. Lusajo visited his sister Chaupele and stayed with her for 840 hours. How many days he stay with his sister?


  1. 70
  2. 28
  3. 120
  4. 14
  5. 35


  1. Yusuf arrived at school at 8:30am. If he was late for 30 minutes, at what time was he supposed to arrive at school?


  1. 9:00am
  2. 8:30am
  3. 2:00pm
  4. 8:00am
  5. 8:60am


  1. A water well having the shape of a cube has a volume of 64m3. Find the length of one side of the well.


  1. 8m
  2. 4m
  3. 16m
  4. 32m
  5. 60m


  1. A car wheel has a diameter of 100cm. How may rotations will the wheel make in order to cover 471m? (Use )


  1. 1.5
  2. 4.71
  3. 14.79
  4. 150
  5. 75


  1. Angle EFG represents one of the angles on the roof of Mr. Nzige’s house.

Which type of angle is this?


  1. Acute angle
  2. Obtuse angle
  3. Reflex angle
  4. Right angle
  5. Straight angle


 

SECTION B

In questions 41 – 45, work out the questions given using a blue or black pen and then write your answers in the spaces provided

  1. A teacher gave work on listing odd square numbers between 0 and 50. Which are these numbers?
  2. A pupil divided a right angle to get three angles as shown in the figure below.

What is the value of y?

  1. The figure below shows a box used to store books:

Find the volume of the box

 

  1. Mr. Kazimoto, his wife and 8 children travelled from Mwanza to Singida. They paid a total of 48,000 shillings as fare. If the fare for each child was a half of that of each adult, find the fare of each child.
  2. In Mwisaka Primary School, the school fees per pupils is sh 44665.35. How much money will the school collect per year from 32 pupils?
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LEARNINGHUBTZ.CO.TZMATHEMATICS STANDARD SIX EXAM SERIES 69

OFFICE OF THE PRESIDENT

REGIONAL GOVERNMENT AND LOCAL GOVERNMENT

STANDARD SIX EXAMINATION SERIES

MATHEMATICS 

ANNUAL FOR 2022

ANSWER ALL QUESTIONS

 

INSTRUCTIONS

  1. This paper consists of sections A and B with a total of forty five (45) questions.
  2. Answer all questions in each section.
  3. Read all instructions in the special answer sheet (OMR)
  4. Fill in all required information in the OMR form and on the page with questions. 41 to 45.
  5. Shade the digits of your Examination Number in the respective places of the OMR form.
  6. Shade the letter of the correct answer for question 1 to 40 in the answer sheet provided. For example, if the correct answer is A shade as follows:

A

B

C

D

E

 

  1. If you have to change your answer, you must use a clean rubber to rub out the shading neatly before shading the new one.
  2. Use HB Pencil only to answer question 1 to 40 and blue or black ink pen for questions 41 to 45
  3. Show all work clearly for question 41 to 45 in the space provided on OMR form
  4. Cellular phones and any unauthorized materials should not be used

 

NO

QUESTION

WORKING SPACE
  1.  

What is the difference between 3.4096 and 2.39?

(a)2.1609 (b)0.1096 (c)1.0196 (d)1.9016 (e)0.0196

 
  1.  

Write the following number in short 

700,000 + 20,000 + 0000 + 700 + 60 + 5

(a)942760 (b)720765 (c)92476 (d)72000765 (e)7200065

 
  1.  

The school forest had 882009 trees. If 48878 trees were harvested and 33167 trees burned. How many trees were left?

(a)799,969 (b) 979,964 (c)799,064 (d)9,799,964 (e)799,964

 
  1.  

Jumbabovu he had a total 3,645,987 cows. What is the total of those cows in the nearest tens of thousands?

(a)3,654,310 (b)3,645,300 (c) 3,650,000 (d)3,645,0003 (e)3,646,000

 
  1.  

Revenue collections for five consecutive years were listed by number. 3, 5, 8, 13 and 20. What is the income for the sixth year in a now?

(a)27 (b)31 (c)20 (d)29 (e)30

 
  1.  

Joan calculated the value of (-3) – (-3) + (-6). Which is the correct answer?

(a)-6 (b)6 (c)-12 (d)+12 (e)0

 
  1.  

Multiply 5kg 50gm by 50 (a)252kg 50gm (b)2500kg 50gm (c)250kg 2500gm (d)252kg 500gm (e)252kg 5000gm

 
  1.  

Deka has the ability to plow field in 6 days, and Cheko has ability to plow a field in a 12 days. If they cultivated the field together. How many days will they cultivate it? (a)18 (b)8 (c)4 (d)6 (e)12

 
  1.  

Think of a number, then subtract twelve from that number, the answer is equal to a quarter of that number. What is that number? (a)4 (b)-12 (c)33 (d)12 (e)16

 
  1.  

5y + 15 students ate 350 oranges. Find the value of “y” if each student ate one orange. (a)77 (b)37 (c)67 (d)186 (e)87

 
  1.  

Mwanaharusi has 16,500/= shillings. What percentage of money is missing to buy 3 dozen of exercise books, if the price of one exercise book is 500 shillings 

(a)83.3% (b)8.3% (c)25% (d)0.83% (e)12.7%

 
  1.  

The sum of five consecutive numbers with four alternating is 315. Which is the biggest number among them (a)63 (b)55 (c)83 (d)101 (e)71

 
  1.  

Kwetukahe a donkey and some ducks. The total number of legs and heads of both ducks and donkeys is 99. If the number of ducks is twice the number of donkeys. Find the number of donkeys of Kwetukahe

(a)18 donkeys (b)33donkeys (c)9 donkeys (d)31 donkeys (e)12 donkeys

 
  1.  

Jafari and Mary they shared 4,800 shillings. Jafari got 2000 shillings and Mary got 2,800 shillings. What ration did they share? 

(a)7:5 (b)20:28 (c)5:7 (d)5:14 (e)10:14

 
  1.  

Five students competed to run 4 phases by reducing 8 steps for each phase. If they started from stage 61. Which one finished all the stages in correct order?

(a)61,69,77,85 (b)61,55,71,78 (c)61,53,41,35 (d)61,53,45,37 (e)61,53,47,31

 
  1.  

Which types of fractions when simplified, give composite fractions? (a)proper fractions (b)Improper fractions (c) Oval fractions (d)big fractions (e) straight fractions.

 
  1.  

A soda bottle has a volume of 500ml. How many deciliters do 12 cartons of soda bottles carton contain if each contains 24 bottles? (a)14.4 deciliters (b)1.44 deciliters (c)144 deciliters (d)1440 deciliters (e)144000 deciliters 

 
  1.  

Sikujua’s grandmother was born in 1788, and Sikujua was born in 2018. What is the difference in the age of Sikujua’s Grandmother and Sikujua?

(a)MDCCLXXXV (b)MMXX (c)XCV (d)CCXXX (e)LXX

 
  1.  

Calculate the square root of 948676 (a)664 (b)974 (c)976 (d)984 (e)90704

 
  1.  

Find the sum of the following numbers

(a)36 (b)61 (c)576 (d)638 (e)656

 
  1.  

Simplify the following equation 2(3m – 2n + 5m)

(a)11m – 2n(b)12+m – n(c)16m – 4n(d)16m+4n (e)4m-4n

 
  1.  

Find the value of “y” in the following equation; 4 + 3(y – 1)=10 (a)1 (b)4 (c)-2 (d)-6 (e)3

 
  1.  

Which order shows the odd numbers between 60 and 70?

(a)1 week 1 day (b)2 week 3 days (c)1 week 24hours (d) 1.1 week (e)2 week 1 day

 
  1.  

It took 192 hours for Mwamtumu to finish her work in the field. That time is equal to how many weeks and days?

(a)1 week 1 day (b)2 week 3days (c)1 week 24hours (d) 1.1 week (e)2 week 1 day 

 
  1.  

The average weight of five sacks of rice is 81kg. If the weight of three of those sacks is 73kg, 91kg and 85kg. Find the weight of one of the remaings sacks if their weight are the same (a)156kg (b)81kg (c)91kg (d)78kg (e)71kg 

 
  1.  

504251 what is the value of underlined digit?

(a)Tens thousands (b)thousands (Tens (d)Hundreds (Hundreds thousands 

 
  1.  

Find the size of angle ADR in the following figure.

 

 

 (a)100° (b)20° (c)90° (d)60° (e)30°

 
  1.  

The athletes ran a distance of 24 kilometers from the Ushirika Stadium to Mweka which is in the north of the field. Then head south east for 30 kilometers and reach Himo. Find the distance between the Ushirika Stadium and Himo

(a)18km (b)14km(c)20km (d)42km (e)24km

 
  1.  

Find the area of the faces of rectangle prism if all its faces are closed

 

 (a)522cm2 (b)1044 cm2 (c)302 cm2 (d)900 cm2 (e)744 cm2

 
  1.  

Extension Officer distributed 200.25litres of pesticides to the 267 farmers. How much volume did each farmer get?

(a)1.33 Liter (b)7.5liter (c)1.33 milliliter (d)750 milliliter (e)7.5 milliliter

 
  1.  

1 left Arusha at 04:50pm and arrived in Dodoma after 4:35 hours. What time did I arrive in Dodoma? Write your answer in 24 hour format. (a)2125 (b)1035 (c)1845 (d)2325 (e)2025

 
  1.  

Chiku bought a radio for 450,000 shillings and then sold it for 360,000 shillings. How many decimals did Chiku lose? (a)0.2% (b)20% (c)90000/= (d)0.25 €0.2

 
  1.  

Angle RST in the following diagram represents one of the angles of Mr.Chatu’s house. What kind of angle is this?

 (a)acute angle (b)obtuse angle (c)reflex angle (d)square angle (e)straight angle

 
  1.  

The rectangular prism has a height of 18cm, a length of 53cm and width of 29cm. find the size of the rectangle. Write your answer in the nearest hundreds. (a)sm3 27,656 (b)sm327,700 (c)sm3 27,666 (d)sm2 6026 (e)sm3 6026

 
  1.  

Find the value of “X” in the following figure.

 

 

 (a)149° (b)38° (c)49° (d)211° (e)62°

 
  1.  

Johari put 8000,000 shs bank for  years and got a profit of 1,540,000 shs, how much interest does the bank gave?

(a) (b) (c) (d)(e)

 
  1.  

The father’s age is three times the age of his son. If the age of his son in 24 years old, how old is the father? (a)54 years (b)51 years (c)60 years (d) 72 years (e)27 years

 
  1.  

The following shape is trapezium, find its perimeter

 

 (a)76cm (b)84cm (c)96cm (d)384cm (e)108cm

 
  1.  

A football field has a perimeter of 140 meters, if the width of the field is (x – 2) meter and its length is meters, find the area of the field.

(a)540 m2 (b)100m2 (c)500m2 (d)200m2 (e)640 m2

 
  1.  

Find the area of the shaded region (use )

 

 

 

 

(a)42cm2 (b)154cm2 (c)22cm2 (d)50cm2 (e)196cm2

 

SECTION B: (10 Marks) MATHEMATICAL OPERATION, FIGURES AND WORDPROBLEMS For each of the questions 41 – 45, use a blue or black pen to work out the answer in the space provided on the OMR form.
  1.  

In the athletic competition. Hamisi went around the following compound 10 times, is it the same as running how many kilometers? (Use 

 

 

 
  1.  

Massawe had 16 pens and 24 pencils. He decided to distribute 10 pens 15 pencils to his friends. If he sold the remaining number of pens for 300 shillings each, remaining pencils for, 200 shillings each, what was the total amount of money he got?

 
  1.  

Irene bought the following items: 10kg of rice @ 3,500 shs, 3kg of flours @1,200shs, 3½kg of sugar @2800shs, 2½ of cooking oil @ 6000shs. How many shillings did she have left if she had seven notes of 10,000/=shs each

 
  1.  

Write the coordinate point of “E” that completes the square figure EFGH as follows H(0,0), G(),3), F(-3,3) and E(x,y)

 
  1.  

In Mjongweni Primary School, if a student gets an A grade in any subject, the school owner pays the teacher 10,000 shs for each A, as motivation in his subject. If science Teacher got 450,000shs how many students got grade A in that subject? 

 

 

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LEARNINGHUBTZ.CO.TZMATHEMATICS STANDARD SIX EXAM SERIES 60

PRESIDENT'S OFFICE 
REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT 
MID TERM 1 EXAMINATION 
STANDARD SIX

MATHEMATICS

TIME: 1:30 HRS 

NAME_____________________________________SCHOOL_________________________

 

INSTRUCTIONS

  • This paper consists of 45 questions 
  • Attempt all questions
  • Show your working
  • Write full name on the blank space above together with the name of the school
  • Ensure your work is neat and legible.

 

 

NO

QUESTIONS

WORKING SPACE

ANSWER

 

Work out the following 

 

 
  1.  

38451 + 694 + 5

 

 
  1.  

4361 – 129

 

 
  1.  

374 x 28

 

 
  1.  

1804 ÷22

 

 
  1.  

13.85 + 12.6

 

 
  1.  

44.25 ÷20.29

 

 
  1.  

32.9 x 8

 

 
  1.  

7.2 ÷ 0.04

 

 
  1.  

Mention odd numbers between 30 up to 40

 

 
  1.  

Write even number between 21 up to 35

 

 
  1.  

Write number 1475 in roman number

 

 
  1.  

Write number 674175 in words

 

 
  1.  

Write number two million eight hundred and fourty five thousand, six hundred and twenty-nine in numeral

 

 
  1.  

Find L.C.M of 28 and 40

 

 
  1.  

Find GCF of 16 and 80

 

 
  1.  

+40 + -12

 

 
  1.  

-40 + -25

 

 

 

Write the next two numbers 

 

 
  1.  

456345, 556345, 656345 _________, _________

 

 
  1.  

745445, 745455, 755465 __________, _________

 

 
  1.  

Write the total value of 3 in the following number 3743721

 

 
  1.  

The weight of 8 boxes is 136kg. Find the weight of each box.

 

 
  1.  

Find the L.C.M and G.C.F of 18 and 32

 

 
  1.  

Find the square of L.C.M of 42 and 84

 

 

 

Approximate number to the nearest thousand without using a number line

 

 
  1.  

528671

 

 
  1.  

424352

 

 

 

Write the place value of digit 2 in the following numbers

 

 
  1.  

1250378

 

 
  1.  

743721

 

 

 

Approximate the following number to the nearest hundreds

 

 
  1.  

11663

 

 
  1.  

21347

 

 
  1.  

Write 0.315 in words

 

 
  1.  

Dram an abacus to show number 952009

 

 
  1.  

Change 25% into decimal

 

 
  1.  

Approximately how many mangoes to the nearest hundred does Francis have to prepare for export. If he has 15256 mangoes to package?

 

 

 

1

 

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LEARNINGHUBTZ.CO.TZMATHEMATICS STANDARD SIX EXAM SERIES 48

MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

STANDARD SIX  EXAMINATION SERIES

MATHEMATICS, ANNUAL  2021

ANSWER ALL QUESTIONS

 

   NO 

   QUESTIONS

 WORKING SPACE

    ANSWER
  1.  

Add  5698+ 1968

 

 
  1.  

Subtract  9875 from 12432

 

 
  1.  

multiply, 158 x 27

 

 
  1.  

If,  4832 oranges are shared among  24, pupils, how many will each get?

 

 
  1.  

35/6 + 21/2

 

 
  1.  

81/3 – 21/2

 

 
  1.  

3/5 x 33/10

 

 
  1.  

33/5x10/27

 

 
  1.  

102.14 + 11.76 =

 

 
  1.  

8.78 -12.5 =

 

 
  1.  

5.84 x 2.4

 

 
  1.  

Change 0.8 into fraction

 

 
  1.  

Change  4/25 into percentage

 

 
  1.  

Write 14/5 into decimal

 

 
  1.  

Find the LCM OF  36, 48, 60

 

 
  1.  

Find the G C D of  24, 32, 48

 

 
  1.  

SOLVE  +8+-3 Using number line

 

 
  1.  

Find area. 

 

 
  1.  

Find  y,

2y-7=5y-16

 

 
  1.  

Find sum of odd numbers between 81 and 98

 

 
  1.  

Write 356 into romans

 

 
  1.  

Find the sum of odd numbers between 11 na 19

 

 
  1.  

Write the next number in the series

3,9,15,21,......

 

 
  1.  

Simplify,  6(2+a)+4(3+5a)

 

 
  1.  

Add

Hr                 Min                Sec

4                     37                       41

3                     59                       18

 

 
  1.  

64x2y÷8x3y

 

 
  1.  

+52+-21=

 

 
  1.  

10x + 28 = 48, find the value of x

 

 
  1.  

Write in words, 85,537

 

 
  1.  

2y-7=5y-16

 

 
  1.  

21/2p +3 =2

 

 
  1.  

Evaluate  3x-4 =11

 

 
  1.  

Find perimeter

 

 
  1.  

Find value of b

 

 
  1.  

Find the perimeter of semicircle

 

 
  1.  

Find perimeter of figure below

 

 
  1.  

Find area of the triangle

 

 
  1.  

Find the area of the square

 

 
  1.  

Write 11.40am in 24 hour system

 

 
  1.  

Find area of the figure below

 

 
  1.  

Find area of rectangle

 

 
  1.  

Find area of the circle, use pie as  22/7

 

 
  1.  

Find the square of  25

 

 
  1.  

Find the area of the figure below

 

 
  1.  

Juma bought the following items

Rubbers  72 @15/=

3 meters of cloth @600/=

6 pairs of socks @175/=

1 trouser  @3750/=

If he had,  8000/= how much did he remain with?

 

 

 

 

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LEARNINGHUBTZ.CO.TZMATHEMATICS STANDARD SIX EXAM SERIES 36

PRESIDENT'S OFFICE 
REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT 
ANNUAL EXAMINATION 
STANDARD SIX

MATHEMATICS

TIME: 1:30 HRS

NAME____________________________________SCHOOL_________________________

INSTRUCTIONS

  • THIS paper consists of 45 questions
  • Select the best alternative in question 1-40
  • For question 41-45 provide the best answer
  • Write full name on the blank space above together with the name of the school
  • Ensure your work is neat and legible.

For each of the question 1 - 40, wok out the answer then choose the correct option and shade its corresponding letter in the answer form provided.

1. 97871 + 8768= 

A. 106639 

B. 106739

C.10779 

D. 106738 

E. 106638

2. 7256 - 4379= 

A. 8277 

B. 2979 

C. 2877 

D.2873 

E. 2977

3. 345 X 25 = 

A. 7625

B. 7505

C. 8605

D. 8525 

E. 8625

4. 7416 ÷ 24 = 

A. 219

B.309 

C. 319 

D. 39 

E. 209

5. 92/7 - 61/5-11/2 =

A. 41/2

B. 441/70 

C. 41/70 

D. 440/70 

E. 41/3

6. 75/8 + 32/5 =

A:101/4 

B. 111/4 

C. 111/40 

D. 11/40 

E. 41/11

7. 225 + 59 + 3,772 =

  1.  4,046            
  2.  3,956
  3.  4,086
  4.  4,057             
  5.  3,946

8. 80,709 - 5,987 =

  1.  75,882           
  2.  74,722
  3. 75,922
  4. 74,812
  5. 75,722

9.170.2 ÷ 74 =

  1. 2.30 
  2. 2.40
  3. 2.03
  4. 3.02
  5. 3.20 

10. 94 × 765 =

  1.  71,910
  2. 71,470
  3. 61,470
  4. 71,610
  5. 71,510

11.52/3 - 21/4=

  1. A 32/12  
  2.  3 4/12
  3.  3 11/12
  4. 3  5/12
  5. 3 7/12

12. (+17) + (-35) =

  1. -52 
  2. -18
  3. 18
  4. 42 
  5. 52

13. 16https://myfiles.space/user_files/30996_4958b541bbe404eb/1569997852_mathematics-psle-2015_files/image016.png÷ 6https://myfiles.space/user_files/30996_4958b541bbe404eb/1569997852_mathematics-psle-2015_files/image017.png=

  1. 16/6
  2. 19/3
  3. 33/2
  4. 99/38
  5. 99/19

14. 7,590 ÷ 15 =

  1. 516
  2. 56
  3. 506
  4. 65 
  5. 605

15. 30.24 ÷ 12 =

  1. 2,520
  2. 25.20
  3. 252
  4. 2.52
  5. 0.252

16. 19.62 + 6.35 + 21.1 =

  1. 47.70
  2. 47.98
  3. 46.07
  4. 46.98
  5. 47.07

17. Ifm= -7 andn= -5, find the value of

https://myfiles.space/user_files/30996_4958b541bbe404eb/30996_custom_files/img1569769137.png

  1. -12
  2. 2
  3. 1
  4. 6
  5. -6

18.Find the product of the prime numbers between 1 and 10.

  1. 384
  2. 210
  3. 945
  4. 1,890
  5. 3,840

19. Find the Greatest Common Factor (G.C.F) of 12, 24 and 36.

  1. 6
  2. 12
  3. 24
  4. 36
  5. 72


20. Simplify 3(m-n) + 5n- 7m.

  1. 4m - 2n
  2. -4m - 2n
  3. 2n - 4m
  4. 3m - 3n
  5. -4m - 8n

21. How manyhttps://myfiles.space/user_files/30996_4958b541bbe404eb/1569757219_mathematics-psle-2015_files/image030.pngare there inhttps://myfiles.space/user_files/30996_4958b541bbe404eb/1569757219_mathematics-psle-2015_files/image031.png

  1. 45/9
  2. 132/3
  3. 9/41
  4. 9
  5. 41

22. Change the roman number CMXCIX into a normal numeral.

  1. 9,999
  2. 99
  3. 999
  4. 99,999
  5. 999,999

23. Write the missing number in the sequence:1, 4, ___, 16, 25.

  1. 5
  2. 6
  3. 9
  4. 10
  5. 12

24. Find the Lowest Common Multiple (L.C.M)of 6, 9 and 12.

  1. 3
  2. 36
  3. 54
  4. 72
  5. 108

25. Find the value of A if 2https://myfiles.space/user_files/30996_4958b541bbe404eb/1569757219_mathematics-psle-2015_files/image032.png:A= 12:48.

  1. 4
  2. 8
  3. 9
  4. 12
  5. 48

26. Five people can dig 15m trench in 4 days. If the 15m trench is to be dug in 2 days. How many people are required? 

A. 10 

B. 5 

C. 20 

D. 8

E. 9

  1. Justine use 2/3 of his salary for food, and remained with 50,0001= shillings. Calculate the total salary. 

A. 150,000/= 

B. 120,000/= 

C. 160,000/= 

D. 170,000/= 

E. 105,000/=

  1. Sofia bought the following items in the supermarket

5kg of sugar @ 2800/=10 packets of salt @ 3,5001= 5 litters of cooking oil for 28,000/=and she paid 13,000/= for the bus fare. If she had 12 note of 10,000/= how much money did she remain with? 

A. 90,000/= 

B. 95,000/= 

C. 30,000/= 

D. 77,000/= 

E. 64,000/=

  1. In the class of 80 pupils, 3/5 of pupils are boys. How many girls are there in the class?

A.48 

B. 22 

C.32 

D. 80

E. 38

  1. The age of the father is 5 times the age of the son. If the sum of their ages is 120 years. Find the age of the father. 

A. 120years 

B. 20years 

C. 100 years 

D. 25 years 

E. 110 years.

  1. Find the volume of the following figure in cm3.(use n=22/7)

A.660cm3

B. 1320cm3

C. 3520cm3

D. 4620cm3

E. 4720cm3

  1. Janeth bought a radio at 360,000/= and sold it at a price of 240,000/= after six months. Calculate the percentage loss in this transaction.

A.20%

B. 33.3%

C. 50% 

D. 60%

E. 10%

33.Find the area of the following rectangle:

  1. 2 cm2
  2. 8 cm2
  3. 36 cm2
  4. 80 cm2
  5. 20 cm2

34. Find the diameter of the following cylinder if its volume is 61.6 cm3. (Use????=22/7)

  1. 1.4 cm
  2. 1.96 cm
  3. 2.8 cm
  4. 6.16 cm
  5. 3.92 cm

35.Zebedayo has 7 cows for milk. If each cow gives 5 litres of milk every day, how many litres of milk does she get per week?

  1.  215 
  2.  225 
  3.  235
  4.  245 
  5.  255


36. Perima has the following notes and coins of Tanzanian currency: 2 notes @ shs. 10,000; 3 notes @ shs. 5,000; 4 notes @ shs. 2,000; 5 notes @ shs. 1,000 and 10 notes @ 500. Also, he has 5 coins each of shs.200 and 4 coins each of shs. 100.How many shillings does he have in total?

  1.   58,400/=      
  2.   54,400/=        
  3.   19,800/=
  4.   34,400/=      
  5.   48,400/=

37.Musa deposited money in a bank that gives 5 percent interest rate for one year. If he deposited the money for a period of one year and gets an interest of 2,500 shillings, how much did he deposit in the bank?

  1.  sh. 5,000 
  2.  sh. 50,000 
  3.  sh. 500,000 
  4.  sh. 50,005 
  5.  sh. 5,005

38. Kazaroho answered correctly 45 out 50 questions in Kiswahili examination. What percentage did Kazaroho get?

  1.  95 
  2.  45 
  3.  5
  4. 50 
  5. 90


39. Maendeleo Primary School has a meeting room which is 12 meters in length and has a width of 5.5 meters. If inside the room, there is an area of 2.5 m2allocated for keeping various documents, find the remaining area.

  1.   66 m2  
  2.  68.5 m2 
  3.  62.5 m2
  4.  63.5 m2
     
  5.  53.5 m2

40. Moga and Juma shared one hundred twenty five thousand shillings in the ratio of 2:3 respectively. How much did Juma get?

  1.  25,000/= 
  2.  50,000 
  3. 62,500/=
  4. 75,000/= 
  5. 100,000/=

SECTION B

For each of the questions 41 — 45, find the answer of each question by showing all working clearly on the answer sheet provided.



The figure below shows how pupils at the Mtakuja primary school made subjects choices. If the school has registered 720 pupils, how many pupils like Mathematics?

42. If the perimeter of the rectangle below is 46cm. Find its area

43. The sum of three consecutive even numbers is 90. Find the square of the first number.

  1. Find the value of X from the equation X— 3 (12 + 10) = 5
  2. Divide 21 tons and 45 kilograms by 5
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