Mathematics Questions and Answers - Class 8 Mid Term Exams Term 1 2023 Set 1

QUESTIONS   

1. What is 6 409 586 written in words?
   1. Six million, four hundred and ninety thousand, five hundred and eighty six. 
   2. Six million, forty nine thousand, five hundred and eighty six.
   3. Six million, four hundred and nine thousand, five hundred and eighty six. 
   4. Sixty four million, nine thousand, five hundred and eighty six.
2. Round off 18 568 379 to the nearest millions.
   
   1. 18 600 000
   2. 19 000 000
   3. 18 570 000
   4. 20 000 000
3. What is the place value of digit 1 in the product of 38 and 27?
   
   1. Tens of thousands.
   2. Thousands.
   3. Hundreds.
   4. Tens.
4. What is the value of:
   16 (42 − 39) + 36 ÷ 3?
             4 x 3
   1. 3
   2. 2
   3. 8
   4. 5
5. Which one of the following statements is true about numbers that are divisible by 11?
   
   1. If the last three digits are divisible by eleven.
   2. If the sum of the digits is a multiple of eleven.
   3. If the difference of the sum of the alternate digits is a multiple of eleven. 
   4. If the last two digits are divisible by eleven.
6. What is the total value of digit 8 in the number 9 785 246?
   
   1. Eighty thousands 
   2. Eight million
   3. Eight thousands
   4. Eight hundred
7. Which of the following numbers is divisible by both 9 and 6?
   1. 45 649
   2. 41 059
   3. 42 369
   4. 47 304
8. Three bells ring at intervals of 15 minutes, 24 minutes and 30 minutes. After how long will the bells ring together again?
   1. 180 minutes
   2. 120 minutes
   3. 60 minutes
   4. 90 minutes
9. Martin sold eggs at a certain shop from 10" January to 10 March, 2020. For how many days altogether did he sell the eggs?
   1. 62 days
   2. 59 days
   3. 60 days
   4. 61 days
10. Flour is packed in 2.5kg packets. If the weight of the flour in the packet is increased by 20%, what would be the new weight of the packet?
    1. 3 kg
    2. 1.5 kg
    3. 3.125 kg
    4. 4.5 kg
11. What is ⁵/₈(24m+32n) + ³/₇(21m − 14n) expressed in its simplest form?
    1. 24m + 26n
    2. 24m − 26n
    3. 24m + 14n
    4. 24 − 14n
12. What is the next number in the number pattern below?
    169, 150, 133, 120, 109,_________
    1. 100
    2. 102
    3. 98
    4. 105
13. The area of a square seed bed is 361 square metres. What is the length of one side of the seed bed?
    1. 21m
    2. 11m
    3. 91m
    4. 19m
14. Musa bought the following items from a kiosk:
    18 tomatoes at 3 tomatoes per sh. 20
    1½kg of onions @ sh.40.00
    5 avocadoes @ sh. 20.00
    3 piles of carrots for sh. 100
    He paid for the items using a sh. 500 note. |2 What balance did he get?
    1. Sh. 120.00
    2. Sh. 240.00
    3. Sh. 380.00
    4. Sh. 160.00
15. Otieno packed 120kg of sugar into ¾ kg packets. How many packets did he obtain?
    1. 90
    2. 150
    3. 160
    4. 240
16. In the figure below, lines AB, BC, CD and AD are equal. AB is parallel to DC and AD is parallel to BC.
    
    Which one of the following is not a property of the quadrilateral above?
    1. Diagonals bisect the interior angles equally.
    2. The sum of interior angles adds up to 180°
    3. Diagonals are varied and bisect each other at 90°
    4. Opposite angles are equal.
17. What is the square root of 3³³/₆₄?
    1. 1³/₈
    2. 3³/₈
    3. 2⁷/₈
    4. 1⁷/₈
18. The area of the trapezium ABCD shown below is 164cm²
    
    What is the length of line DC?
    1. 26cm
    2. 24cm
    3. 16cm
    4. 18cm
19. Wanjiku bought x oranges and Wanjiru bought 2x + 3 oranges. Muthoni bought twice as many oranges as both Wanjiku and Wanjiru. Which one of the following expressions shows the total number of oranges they bought? 
    1. 9x + 6
    2. 9x − 6
    3. 9x + 9
    4. 9x − 9
20. The perimeter of a square garden is 48 metres. What is the area of the garden in square metres?
    1. 2 304m²
    2. 144m²
    3. 234m²
    4. 288m²
21. A bus left Busia for Nairobi at 2035 hours on Wednesday. The journey took 11 hours 45 minutes. At what time and day did it reach Nairobi?
    1. 2020 hrs, Wednesday 
    2. 2020 hrs, Thursday
    3. 0820hrs, Wednesday 
    4. 0820hrs, Thursday
22. What is the value off in the equation below?
    2(2t − 5) = 3(3t −15)
    1. 7
    2. 3
    3. 9
    4. 5
23. What is the value of angle a in the figure below?
    
    1. 140°
    2. 100°
    3. 150°
    4. 110°
24. Karisa had the following amounts of money in his saving box.
    

    Value of the note	50	100	200	500
    No. of notes	32	18	16	4

    How much money did he have altogether in the saving box?
    1. Sh. 6 800
    2. Sh. 8,600
    3. Sh. 5 400
    4. Sh. 10 200
25. Which one of the following sets of measurements will form a right angled triangle when drawn?
    1. 5cm 12cm, 17cm
    2. 8cm, 40cm, 41cm 
    3. 7cm, 24cm, 25cm
    4. 7cm, 15cm, 17cm
26. Chebet and Cheptoo shared the profit from the sale of a cow in the ratio 3:5. If the difference in the profit was sh. 18 000, how much profit did Cheptoo receive?
    1. Sh. 27 000 
    2. Sh. 72 000
    3. Sh. 45 000
    4. Sh. 9 000
27. Construct triangle PNM in which line MN=7cm, angle MNP 50° and angle NPM=70°. Draw a circle that touches points P, N and M. Measure the diameter of the circle.
    1. 3.8cm
    2. 1.1cm
    3. 1.9cm
    4. 7.6cm
28. What is the total value of digit 2 in the decimal number 4.3286?
    1. ²/₁₀
    2. ²/₁₀₀
    3. ²/₁₀₀₀
    4. ²/₁₀₀₀₀
29. What is ¹⁸/₂₅ as a percentage?
    1. 18%
    2. 60%
    3. 72%
    4. 85%
30. In a certain month, a businessman made a profit of sh. 16 000. In the following month, his profit decreased to sh. 14 000. Calculate the percentage decrease in the profit.
    1. 12.5%
    2. 20%
    3. 88.5%
    4. 25%
31. Juma's bicycle wheel has a radius of 28cm. How many revolutions will it make to cover a distance of 6.16km?
    1. 35
    2. 350
    3. 35 000
    4. 3 500
32. The diagram below represents Rono's plot of land in the shape of a parallelogram.
    
    What is the area of the land in hectares?
    1. 2.88
    2. 1.92
    3. 0.96
    4. 1.44
33. Lorna deposited sh. 240 000 at a financial institution that paid simple interest at the rate of 5% p.a. How much money had her money earned as interest at the end of three years?
    1. Sh. 276 000 
    2. Sh. 277 830
    3. Sh. 36 000
    4. Sh. 37 830
34. A closed cylindrical tank has a radius of 3.5 metres and a height of 2.5 metres. What is the surface area of the tank in square metres?
    1. 93.5
    2. 132
    3. 55
    4. 96.25
35. Mutai paid sh. 8 075 for a radio after getting a 5% discount on the marked price. What was the marked price of the radio?
    1. Sh. 8 500
    2. Sh. 7 650
    3. Sh. 425
    4. Sh. 8250
36. A milk factory was supplied with 4 000 litres of milk by some farmers. The milk was then packed into 2 -decilitre packets. How many packets were obtained?
    1. 200 000
    2. 200
    3. 2000
    4. 20.000
37. A rectangular fish pond measures 8 metres by 6.5 metres. All round is planted grass at an equal margin of 0.5 metres. Calculate the area under grass.
    1. 52m²
    2. 67.5m²
    3. 15.5m²
    4. 7.5m²
38. An open rectangular tank measures 5.2 metres long, 3.5 metres wide and 1.8 metres high. Calculate the surface area of the tank.
    1. 32.76 m²
    2. 49.52m²
    3. 18.72 m²
    4. 67.72 m²
39. What is the product of the edges and the vertices of an open rectangular prism?
    1. 48
    2. 60
    3. 72
    4. 96
40. A road measuring 3cm on a map has an actual distance of 4.5km. What is the scale used in drawing the map?
    1. 1:150 000
    2. 1:1 500 000
    3. 1:15 000
    4. 1:1 500
41. The stack of cubes below is incomplete.
    
    How many more cubes are required to make it complete?
    1. 96
    2. 180
    3. 84
    4. 69
42. Michelle covered a distance of 540km in 3 hours. What was her average speed in m/s?
    1. 180m/s
    2. 25m/s
    3. 90 m/s
    4. 50m/s
43. Eight men working at the same rate can complete digging in 12 hours. How many hours will it take six of the men to complete the same work?
    1. 9
    2. 16
    3. 18
    4. 10
44. In one month, a car agent sold 5 cars at sh. 800 000 each. He earns a 5% commission on the sale of a car. How much did he earn that month?
    1. Sh. 40 000
    2. Sh. 4 000 000
    3. Sh. 200 000
    4. Sh. 400 000
45. On a certain day, a shopkeeper sold 24kg of sugar, 15kg of maize flour, 9kg of wheat flour and 6kg of rice. If these items were to be represented in a pie chart, what angle would represent the mass of maize flour?
    1. 100°
    2. 40°
    3. 160°
    4. 60°
46. Kioko bought a TV set on hire purchase terms. He paid a deposit of sh. 2 500. The remaining amount was paid in 5 equal monthly instalments. He paid a total of sh. 10 200. How much was each monthly instalment? 
    1. Sh 1 450.00 
    2. Sh. 2 040.00
    3. Sh. 1 820.00
    4. Sh. 1 540.00 
47. A cylindrical tank has a height of 2.8 metres and a diameter of 2.1 metres. How many litres can it hold when full?
    1. 97 020ℓ
    2. 9 702ℓ
    3. 970.2ℓ
    4. 97.02ℓ
48. Kipruto is paid sh. 6 000 after working for 20 days. How much money would he be paid if he works for 14 days?
    1. Sh. 10 200
    2. Sh. 8 400
    3. Sh. 4 200
    4. Sh. 5-400
49. The mean of five number is 10. Four of the numbers are 8, 12, 6 and 13. What is the fifth number.
    1. 11
    2. 9
    3. 15
    4. 12

The bar graph below shows pairs of shoes with their sizes that were sold in a certain week.

50. How many pairs of shoes that were size 5 and above were sold in that week?
    1. 210
    2. 155
    3. 125
    4. 105

MARKING SCHEME

1. C
2. B
3. B
4. D
5. C
6. A
7. D
8. B
9. D
10. A
11. C
12. B
13. D
14. A
15. C
16. B
17. D
18. A
19. C
20. B
21. D
22. A
23. D
24. B
25. C
26. C
27. D
28. B
29. C
30. A
31. D
32. B
33. C
34. B
35. A
36. D
37. C
38. B
39. D
40. A
41. C
42. D
43. B
44. C
45. A
46. D
47. B
48. C
49. A
50. B