STD VII MATHEMATICS NECTA ONLINE SELF TESTS(2005-2018)
STD VII MATHEMATICS NECTA EXAM OF YEAR 2023 Try This  |  

THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL OF TANZANIA PRIMARY SCHOOL LEAVING EXAMINATION

04E MATHEMATICS

Time: 2:00 Hours Year: 2023

Instructions

  1. This paper consists of sections A and B with a total of forty five (45) questions.
  2. Answer all questions.
  3. Read all the instructions in the special answer sheet (OMR).
  4. Fill in all the needed information in the OMR form.
  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:

  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 a blue or black ink pen for question 41 to 45.
  3. Show all work clearly for question 41 to 45 in the space provided on the OMR form.
  4. Cellular phones and any unauthorised materials are not allowed in the examination room.


SECTION A: 

MATHEMATICAL OPERATIONS, FIGURES AND WORD PROBLEMS

For each of the questions 1 - 40, work out the answer, then choose the correct option and shade its corresponding letter in the special answer sheet (OMR) provided.

l . Which is the next number in the following sequence? 29, 33, 37, 41, _____

  1. 43
  2. 45
  3. 47
  4. 42
  5. 46

2. The length of a football pitch is 90.136 metres and the length of a netball pitch is 30.769 metres. Write the difference of the pitches length into two decimal places.

  1. 60.63 
  2. 59.34 
  3. 60.37 
  4. 59.37 
  5. 59.36.

3.  Akilimali fell down after running for  of an hour. What percentage of time remained to complete an hour?

  1. 75% 
  2. 0.25% 
  3. 25%
  4. 7.5% 
  5. 2.5%

4. Mr. Mandela has a farm of a circular shape with a diameter of 35 metres. If he decides to plant trees around the farm at a distance of 2.2 metres apart from each other, how many trees will he plant around the whole farm? (Use π =  )

  1. 110 
  2. 242 
  3. 77
  4. 51 
  5. 50

5. A doctor attended the patients in two days. On Monday, he attended 81 patients and on Tuesday he attended 69 patients. Which is the fraction of patients who were attended on Monday?


6. Rehema and Fadhili started at once counting oranges. Rehema counted loudly after every 5 oranges and Fadhili after every 9 oranges. Which first common number will they count loudly?

  1. 14
  2. 4
  3. 45
  4. 90 
  5. 54

7. The tank of Baker's motorcycle was filled with 24 litres of 5 oil. If it will travel a distance of 10 km and use  of the oil, how many litres of oil will remain?

  1. 15 
  2. 34
  3. 9
  4. 25 
  5. 14

8. A bus has 23 seats, two of them are for the driver and conductor and  of the remaining seats are for the passengers. How many seats are empty in the bus?

  1. 21 
  2. 14
  3. 16
  4. 7
  5. 9

9. Five pupils were given a task of listing all multiples of 6 between 30 and 60. Which list is correct?

  1. 36, 48,54, 56
  2. 36, 42, 54, 60
  3. 36, 40, 42, 48
  4. 36, 48, 54, 60
  5. 36, 42, 48, 54

10. Ester calculated the product of all prime numbers between 80 and 90 correctly. Which one is the correct list?

  1. 7387 
  2. 7378 
  3. 7,367 
  4. 7,373 
  5. 7,396

1l. Five groups listed ail even numbers between 1 15 and 124. Which group listed the numbers correctly?

  1. 116, 120, 122, 124 
  2. 116, 118, 120, 122 
  3. 116, 119, 120, 122 
  4. 116, 118, 120, 124
  5. 116, 120, 123, 124

12. The students were give an exercise of arranging the numbers 1.25, 20%,  , 0.15 and -3 in a descending sequence. Which sequence is correct?

  1. 1.25,  , -3, 0.15, 20%

  2. -3, 1.25, 0.15, 20%,

  3. -3, 20%, 1.25,  , 0.15

  4. 1.25, 20%, 0.15,  , -3

  5. 1.25, -3, 20%, 0.15,


13. Mwanahawa deposited 450,000 shillings in a bank for a period of 2 years and she got an interest of 27,000 shillings. What is the rate of interest given by the bank?

  1. 2%
  2. 3%
  3. 4%
  4. 5%
  5. 1%

14. Ushindi primary school has a total of 960 pupils. If there are 540 girls, what fraction represents the number of boys?


15. Mariam's mother had 100 kilogram of rice. She gave Elisha , Mwajuma   and Isaac   of all amount of rice.  How many kilograms did a person with a small share get?

  1. 30 
  2. 40
  3. 70
  4. 20 
  5. 10

16. Musa ate of bread and Amina ate   of the same bread.What fraction of the bread did they remain with?






17. Sabrina and Salma got a profit from their joint business. Sabrina received  of the profit and Salma received 0.4 of the profit. Find difference of the amount received in percentage?

  1. 60% 
  2. 40%
  3. 30%
  4. 80%
  5. 20%

18. Upendo travelled at a distance of 16 ¾ kilometres by bicycle and the remained part she walked on foot. If she travelled at a distance of 18 ½ kilometres, at what distance did she walk on foot?

  1.  Km

  2.  Km

  3.  Km

  4.  Km

  5.  Km


19. Uhuru Primary School had 80 cattle. Last year the school decided to sell   of the cattle. How many cattle did the school remain with?

  1. 50 
  2. 48 
  3. 32
  4. 10 
  5. 30

20. An electric company uses 5,500 litres and 760 mililitres of diesel a day to produce an adequate amount of electricity needed at Wazalendo village. How much diesel should be used in February of a short year to satisfy the needs of the village?

  1. 154,021 litres and 280 mililitres 
  2. 170,523 litres and 560 mililitres
  3. 165 ,022 litres and 800 mililitres 
  4. 154,021 litres and 250 mililitres
  5. 159,522 litres and 40 mililitres

21. Juma is shorter than Amina by 0.32 metres. If the height of Amina is 1.51 metres, what is the height of Juma?

  1. 1.83 m 
  2. 1.29 m 
  3. 1.81 m
  4. 1.19 m 
  5. 1.18 m

22. A father bought 57 sacks of beans and each sack weighed 90 kilograms. What was the cost of all sacks of beans if he bought each kilogram for 380 shillings? 

  1. sh 40,040 
  2. sh 1,949,400
  3. sh 34,200 
  4. sh 21,660
  5. sh 55,860

23. Jane's income for the year 2019 was 42,000,000 shillings. She used 8,500,000 shillings to pay school fees for her children, 12,000,000 shillings to pay for construction expenses and 10,000,000 shillings for personal expenses. If she saved the remained amount, how much money did she save?

  1. Sh. 11,500,000
  2. Sh. 30,000,000
  3. Sh. 35,500,000
  4. Sh. 39,500,000
  5. Sh. 72,000,000

24. Muungano group had 8 members. They did a business and got a profit of 8,892,000 shillings. If they divided the profit equally among themselves, how much shillings did each one get?

  1. sh 1,407,000
  2. sh. 1,704,000
  3. sh. 174,000
  4. sh. 1,074,000
  5. sh. 1,174,000

25. Panju, Bakari and Amina shared 900,000 shillings. as follows: Panju got twice amout of Bakari and Amina got three times amount of Panju's share. If Amina got a total of 600,000 shillings, how much money did a person with a small share get?

  1. sh 400,000 
  2. sh 50,000
  3. sh 100,000 
  4. sh 200,000
  5. sh 300,000

26. Mwajuma bought the following items: 5 kg of rice @ 2,200 shillings, 3 kg of beans @ 2,300 shillings and 4 kg of sugar @ 2,600 shillings. If Mwajuma had 50,000 shillings, how much money did she remain with after the purchases?

  1. sh 31 ,700 
  2. 21,700
  3. sh 28,300 
  4. sh 22,700
  5. sh 23,700

27. Mwajuma deposited the amount of 564,000 shillings in a bank, which gives an interest rate of 5 ½% per year. What is the amount of interest did she get after 6 months?

  1. Shillings 14,100 
  2. Shillings 18,612 
  3. Shillings 15520 
  4. Shillings 15510
  5. Shillings 18513

28. A business man deposited 8,000,000 shillings in a bank which offers 8% of interest per year. After how many years would the interest be 1,600,000 shillings?

  1. 2
  2. 2 ½
  3. 3
  4. 4
  5. 5 ½

29. The following diagram shows a wall of one of the buildings of Songambele Primary School. Find the value of h if the area of the wall is 192 m2 .

  1. 10 m
  2. 12 m
  3. 15 m
  4. 8 m
  5. 6m

30. The following figure represents a tank whose diameter is 56 cm and height is 60 cm. Find the area of its surface if the tank is open on one side, (use π =  )


  1. 13,024 cm2  
  2. 11264 cm2
  3. 13,728 cm2  
  4. 10264 cm2
  5. 9,064 cm2

31. A pupil measured the interior angles of a parallelogram and named them as angles e, f, g and h as shown in the following figure.


Which angles are equal?

  1. e and f 
  2. h and e 
  3. h and g 
  4. h and f 
  5. g and f.

32. A teacher drew the following figure and asked pupils to find the value of angle m. What is the size of angle m in degrees?

  1. 1140
  2. 340
  3. 1400
  4. 1060
  5. 1460

33. A rabbit weighs 4 kg 21 dag 48 dg. How many rabbits will weight 50 kg 57 dag 76 dg?

  1. 22 
  2. 17
  3. 12
  4. 7
  5. 20

34. Opio walked at a distance of 42 dam 25 dm 8 cm in the morning and 12 dam 10 dm 7cm in the evening. Find the total distance he walked in centimetres.

  1. 104 cm 
  2. 54,365 cm 
  3. 5,765 cm 
  4. 5,450 cm 
  5. 54,050 cm

35. 48 litres 450 mililitres of milk were equally shared by three families of 6 people each. What is the amount of milk did each family get?

  1. 16l  15m1 
  2. 150l  16mil
  3. 8l   75mil 
  4. 16l  150ml
  5. 15l  16mil

36. One tone of beans was distributed among 16 women. If all women received an equal share, how much did everyone get?

  1. 62 kg 50 g 
  2. 62 kg 50 dag
  3. 62 kg 500dg 
  4. 62 kg 5,000 mg
  5. 62 kg 500 hg

37. A train moves 720 km per hour. How is this speed written in centimetres per second?

  1. 20,000 cm/sec 
  2. 2,000 cm/sec
  3. 12,000 cm/sec
  4. 1,200 cm/sec
  5. 200 cm/sec

38. If n+5=0, what will be the value of the expression






39. The following pie chart shows the amounts of food which were sold per week in a whole sale shop.


If 300 kilograms of wheat flour were sold for the whole week, how many kilograms of rice were sold?

  1. 900
  2. 600
  3. 380
  4. 220
  5. 152

40. The average weight of six pupils of Standard Seven is 48 kilograms. If the weight of the seventh pupils is added the 7 average will be 50 kilograms. Find the weight of the seventh pupil.

  1. 50 kilograms 
  2. 49 kilograms 
  3. 62 kilograms 
  4. 18 kilograms
  5. 98 kilograms

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             SECTION A: MATHEMATICAL OPERATIONS

For each of questions 1 - 25, work out the answer, then choose the correct option and shade its corresponding letter in the answer sheet provided.

1. 225 + 59 + 3,772 =

  1.  4,046            
  2.  3,956
  3.  4,056
  4.  4,057             
  5.  3,946

2. 80,709 - 5,987 =

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

3. 170.2 ÷ 74 =

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

4. 94 × 765 =

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

5. 3 + 1  =

  1. 4
  2.  4  5/8
  3. 5
  4.  5
  5.  

6. 5 2/3 - 2 1/4  =

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

7.  -14×(-19 + 16) =

  1. -48  
  2. 48
  3. 42
  4.  -42  
  5. 49

8. (+ 17) + (- 35) =

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

9.  16 ÷ 6  =

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

10.  7,590 ÷ 15 =

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

11.  30.24 ÷ 12 =

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

12. 19.62 + 6.35 + 21.1 =

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

13. If m = -7 and n = -5, find the value of

 

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

14. Compute the value of 12 - (- 24) + (- 9) × 4.

  1.  0
  2. 48
  3. -48
  4. 72
  5. 108

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

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

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

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

17. Write 4  % as a fraction



  5. 20/500

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

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

19. Find the value of y if + y  = 5

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

20. How many are there in

  1. 4 5/9
  2. 13 2/3
  3. 9/41
  4. 9
  5. 41

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

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

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

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

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

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

24. Find the value of A if 2 : A = 12:48.

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

 25.   dm   cm   mm

           4      3      5

-          1      4      6

  1.   2 dm 8 cm 9 mm
  2.  2 dm 9 cm 9 mm
  3.  3 dm 8 cm 9 mm
  4. 2 dm 8 cm 1 mm
  5. 1 dm 8 cm 8 mm

SECTION B: FIGURES

For each of questions 26-38, work out the answer, then choose the correct option and shade its corresponding letter in the answer sheet provided.

26. Find the area of the following rectangle:

 

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

27. 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

28. Find the shaded area if the circle inside the square has a radius of 7 cm. (Use Pi =22/7 ) 


  1.  154 cm2
  2.  49 cm2
  3.  32 cm2
  4.  42 cm2
  5. 196 cm2

29. Find the perimeter of the isosceles triangle PQR.

  1.   6 cm             
  2.   14 cm           
  3.   28 cm
  4.   22 cm          
  5.   38 cm

30. Find the value of x in the following figure.

 

  1.   46°               
  2.   44°               
  3.   3°
  4.   10°              
  5.  12°

31. The area of the following triangle is 66 cm2. Find the value of x.

 

  1.   3                  
  2.   8                  
  3.   11
  4.   12                
  5.   15

32. Find the area of the football ground shown inthe following figure:  (Use ???? =22/7 )

  1.   3,850 m2
  2.   7,000 m2
  3.   7,770 m2
  4.   10,850 m2
  5.   15,400 m2

33.Find the are of the following trapezium

 

  1.   70 cm2               
  2.   105 cm2              
  3.   150 cm2
  4.   210 cm 2     
  5.  50 cm2

34.The following figure shows the attendance of standard seven pupils at Tumbi Primary School in the five days of the week. Find the average of their attendance per day.

 

  1.   180              
  2.   50                
  3.   36
  4.   30                
  5.   20

35.Find the surface area of the following rectangular prism of which the face HEFG is open.

 

  1.   88 cm2                
  2.   64 cm2                  
  3.   48 cm2
  4.   44 cm2      
  5.   40 cm2

36. Ilembula Primary School harvested 4,500 kilograms of vegetables that are shown in the following pie chart. Find the number of kilograms for onions that were harvested.

 

  1.   2,050            
  2.   196              
  3.   2,450
  4.   1,050           
  5.   164

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

 

  1.   10                
  2.   30                
  3.   40
  4.  140              
  5.  150

38. Find the area of the following parallelogram:

  1.   24 cm2                
  2.   32 cm2                  
  3.   40 cm2
  4.   12 cm2
  5.   25 cm2

SECTION C: WORD PROBLEMS

For each of questions 39 - 50, work out the answer, then choose the correct option and shade its corresponding letter in the answer sheet provided.

39.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

40. 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/=

41. 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

42. 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

43.Mapinduzi Primary School has 28 teachers of which 18 are female. What is the fraction of the male teachers? 

  1.   28/18
  2.   9/14
  3.   5/14
  4.   9/5
  5.   5/28 

44. 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 m2 allocated 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

45. 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/=

46. Maganga’s car travels a distance of 20 km with a speed of 80 km per hour. What time does it take to cover the whole journey?

  1.   0.25 hours    
  2.   0.5 hours      
  3.   2.00 hours
  4.   4.00 hours   
  5.   8.00 hours

47. A book is sold at seven thousand five hundred shillings at Jamali’s shop. If the owner of the shop will give a discount of 10 percent, at how much shillings will the book be purchased?

  1.   7,500/=        
  2.   7,490/=       
  3.   8,250/=
  4.   6,750/=      
  5.   750/=

48. Kambona’s salary per month is 456,500 shillings. If the salary will increase by 26 percent, how much will the new salary be?

  1.   shs. 118,690             
  2.   shs. 456,526
  3.   shs. 337,810            
  4.   shs. 574,090
  5.   shs. 575,190

49. A business man sold sugar for three months as follows: In January 1,500 kilograms, February 2,500 kilograms and in March 1,250 kilograms. How many tons of sugar were sold in three months? (1 Ton = 1,000 kilograms)

  1.   4.25             
  2.   425              
  3.   5.25
  4.   6.25            
  5.   5,250.

50. The weight of fruits that were sold at Mikunda market for four consecutive days were as follows:

Day

Monday

Tuesday

Wednesday

Thursday

Weight (tons)

2

1 ½ 

½ 

2 ½ 

What is the average of kilograms of fruits that were sold at the market per day?

  1.   1,625 kg       
  2.   1,375 kg      
  3.   1,250 kg
  4.   1,500 kg      
  5.   6,500 kg

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