Mathematics Questions and Answers - Class 8 Mid Term 3 Exams 2023 Set 1

1. Write thirty six million thirty six thousand and thirty six thousand and thirty six.
   1. 36 036 306
   2. 36 306 306
   3. 36 306 .036
   4. 36 036 036
2. What is 269.8999 rounded off to the nearest thousandth?
   1. 269.899
   2. 269.900
   3. 269.000
   4. 270.000
3. Which of the following inequality statements is correct?
   1. 004 = 40%
   2. ²/₅ > 40%
   3. ¾ = 65%
   4. 0.01 < 10%
4. What is the total value of digit 4 in the number 387.2847?
   1. Hyundreth
   2. Thousandth
   3. ⁴/₁₀₀₀
   4. ⁴/₁₀₀
5. The perimeter of a square is 224m. What is twice the area?
   1. 3136m²
   2. 448m²
   3. 1244m²
   4. 6272cm²
6. What is the value of
   4(5² − 3²) + 9 x 4
            √36 ÷ 2
   1. 33¹/₃
   2. 25
   3. 100
   4. 5 ⁵/₉
7. What is the value of 
   ²/₅ of (³/₅ − ³/₈) + ²/₅ x ³/₄
   1. 1¹⁷/₁₀₀
   2. 1⁶/₂₅
   3. 2¹⁷/₅₀
   4. 1¹⁷/₅₀
8. Which of the following is the next number in the sequence?
   1, 2, 6, 15, 31
   1. 56
   2. 53
   3. 61
   4. 59
9. What is the value of 
   62 − 4(35 − 24) ?
       12 ÷4
   1. 4
   2. 3
   3. 24
   4. 6
10. A family consumes 6-500ml packets of milk daily. low many litres did they consume from 13 January to 11* April of the year 2022?
    1. 26.1litres
    2. 261litres
    3. 267 litres
    4. 258 litres
11. What is the sum of the square ol 4½ and the square root of 18¹/₁₆?
    1. 9⁵/₁₆
    2. ⁸¹/₄
    3. ¹³/₁₆
    4. 4¼
12. Construct a triangle PQR such that line PQ = 6.5cm, PR = 7.5cm and angle PQR = 69°. From point R drop a perpendicular to meet line PQ at X.
    
    What is the size of angle PRX?
    
    1. 29°
    2. 61°
    3. 151°
    4. 126°
13. Kibet had sh 1000 note. He wanted to change into denominations of sh 500, sh 200, sh 100 and sh 50. How many notes did he get?
    1. 5
    2. 4
    3. 7
    4. 6
14. Osman deposited sh.300 000 in a commercial bank that paid simple interest at 6% per annum. How much was the amount in his account after 18 months?
    1. Sh. 327 000
    2. Sh. 27 000
    3. Sh. 18 000
    4. Sh 318 000
15. John left Mumias for Busia at 10:36 am. He drove at a speed of 90km/hr for a distance of 60km. At what time did he get to Busia?
    1. 11:26am
    2. 11:16am
    3. 10:56am
    4. 12:16pm
16. A rectangular water tank measures 3.2m by 2.4m by 1.8m high when full of water. After 3 days the level of water dropped by 60cm. How many litres remained in the tank?
    1. 13 824ltrs
    2. 4 608ltrs
    3. 9 216/trs
    4. 5 400ltrs
17. What is the value of x in the equation
    x −1 + 3x + 7 = 6
       2           8
    1. 7³/₇
    2. 52
    3. 45
    4. 6³/₇
18. A Kigali bound bus left Nairobi on Monday 8:30pm. The journey was to take 2¼ days. On reaching Busia border, the bus delayed for 3hrs. At what day and time did the bus get to Kigali?
    1. Thursday 2:30am
    2. Wednesday 2:30am
    3. Thursday 5:30 am
    4. Wednesday 5:30am
19. Janet made a loss of 12% for selling 23. The line AB below is a part of a an item at sh.17 600. How much would she have sold to make a 25% profit?
    1. Sh.20 000
    2. Sh.25 000
    3. Sh.22 000
    4. Sh.26 500
20. What is the value of 2x(y − z)
                                        y + z
    if x = 4, y = 3x and z = ½y
    1. 2²/₃
    2. 1¾
    3. 2¾
    4. 1¹/₃
21. Kim spent of his salary on fees, of the remainder on rent and the rest on savings. If the savings was sh.7 500 how much did he spend on rent?
    1. Sh.11 250
    2. Sh.33 750
    3. Sh.3 750
    4. Sh.22 500
22. The following are characteristics of a certain quadrilateral:
    (i) One pair of parallel lines.
    (ii) Diagonals are not equal.
    (iii) Interior angles add upto 360°.
    The quadrilateral described above is a
    1. Trapezium
    2. Rectangle
    3. Rhombus
    4. Parallelogram
23. The line AB below is a part of arhombus ABCD where angle BAD = 120°. From point C drop a perpendicular to meet line AB at X.
                                                       
    What is the length of line AB?
    1. 7cm
    2. 4.9cm
    3. 2.5cm
    4. 3.1cm
24. During a prayer rally in Nyayo stadium, a total of 5 700 children were in attendance. The number of women was ²/₃ that of children but 500 less than that of men. How many people attended the prayer rally altogether?
    1. 3 800
    2. 10 000
    3. 13 800
    4. 4 300
25. The table below shows a fare chart in shillings for a bus from a certain route.
                                                                     
    Three adults and four children travelled from town A to town E via town C. On reaching town C, one more adult and two children joined the passengers. How much money did they pay altogether if the children paid half of the fare?
    1. Sh.2 200
    2. Sh.2 250
    3. Sh.2 240
    4. Sh.1 400
26. A clock loses ten seconds every hour. If it was set right on Monday 8:00am, what time did it show the following Monday at the same time?
    1. 8:28am
    2. 7:32am
    3. 8:28pm
    4. 7:32pm
27. Wagalla paid sh.30 400 for an item after getting a 5% discount on the marked price. How much less would he have paid had he been given a 10% discount?
    1. Sh.1 600
    2. Sh.3 200
    3. Sh.28 800
    4. Sh.33 600
28. The mass of an empty carton is 0.8kg. The carton is filled up with 24-500g tins of cooking fat. A pickup whose mass when empty is 1.2 tonnes is packed with 80 such cartons. What is the total mass of the loaded pickup in kgs?
    1. 1024 kg
    2. 2224kg
    3. 960kg
    4. 2160kg
29. Which of the following set of measurements cannot be used to form a right angled triangle?
    1. 4.5cm, 6cm, 72cm
    2. 1.2m by 1.3m by 1.5m
    3. 0.5m, 1.2m, 1.3m
    4. 0.8m, 1.5m, 1.7m
30. The mass of ice was −20°C. It was heated for five minutes and the new temperature was 45°C. What was the rate of temperature rise in celsius per minute?
    1. 13°C per min
    2. 9°C per min
    3. 8°C per min
    4. 11°C per min
31. A water tank measures 60cm by 50cm by 40cm. The tank is open at the top. What is the area the of internal surface area?
    1. 14 800cm²
    2. 12 000cm²
    3. 11 800cm² 
    4. 12 400cm²
32. Three boys Ben, Bett and Tom contributed sh.1 200 to buy a ball. Tom contributed twice as much as both Bett and Ben. Bett contributed sh.200 more than Ben. If Ben contributed sh.x, which of the following equations can be used to get the amount contributed by Tom?
    1. 3x + 200 = 1 200
    2. 3x + 300 = 1 200
    3. 6x + 600 = 1 200
    4. 5x + 600 = 1 200
33. Karen and Sylvia shared some money in the ratio 3:5. If Sylvia got sh.3 900 more than Karen, how much money were they sharing?
    A. Sh.9 750
    B. Sh.10 400
    C. Sh.5 850
    D. Sh.15 600
34. A sales agent earns a basic salary of sh.18 500. She is also paid 9% commission on all the sales she makes above sh.50 000. In one month she earned sh.68 900. How much was her sales that month?
    1. Sh.560 000
    2. Sh.520 000
    3. Sh.24 701
    4. Sh.610 000
35. What is the difference of the LCM and HCF of 12,16, and 24?
    1. 48
    2. 4
    3. 52
    4. 44
36. Below is a solid net.
                                                              
    What is the correct number of faces, edges and vertices?
             F    E    V
    
    1.   9    5    6
    2.   5    9    6
    3.   6    5    9
    4.   9    6    5
37. In an election, four candidates got votes as follows:
    Third candidate got 0.23
    Second candidate got 0.27.
    First candidate got 0.42.
    Fourth candidate got the rest which were 6400 votes. How many more votes did the winning candidate get than the second candidate?
    1. 80 000
    2. 33.600
    3. 18.400
    4. 12 000
38. James scored the following in a test.
    

    Subject	Maths	Eng	Sci	Kiswa
    Score	80	90	60	70

    If this information was put on a pie chart, what angle would represent the difference between Maths and Science?
    1. 24°
    2. 72°
    3. 96°
    4. 108°
39. Onyango travelled from Nyando to Machakos a distance of 432km in four hours. He drove back taking 6hrs. What was the average speed for the whole journey?
    1. 72 km/h
    2. 108 km/h
    3. 86²/₅ km/h
    4. 96 km/h
40. The diagram below shows a piece of land
                                                                               
    What is its perimeter?
    1. 198m
    2. 231m
    3. 330m
    4. 99m
41. The cash price of a generator is sh.240 000. The hire purchase price is 25% more than the cash price. Hassan paid a deposit and the rest in 15 equal monthly instalments of sh.17 600. How much was the deposit?
    1. Sh.24 000
    2. Sh.36 000
    3. Sh.64 000
    4. Sh.46 000
42. A group of 54 men can take 72 days, to complete a certain job. How many more days would it take if 18 men failed to turn up?
    1. 108
    2. 48
    3. 18
    4. 36
43. What is the simplest form of
         3(2x + 4y) + 2(3x + 2y),?
                   2(4y + 6x)
    1. 4y + 2x
       2x + 4y
    2. 2y + 3x
       3x + 2y
    3. 4y + 3x
       2y + 3x
    4. 3x + 2y
       4x + 3y
44. The fractions ³/₇, ²/₃,⁴/₉ and ⁸/₁₁  are to be arranged from the smallest to the largest. Which of the following is the correct order?
    1. 8/₁₁, ³/₇^{, 2}/₃, ⁴/₉
    2. ²/₃, ³/₇, ⁴/₉, ⁸/₁₁
    3. ³/₇, ⁴/₉, ²/₃, ⁸/₁₁
    4. ⁸/₁₁, ²/₃, ⁴/₉, ³/₇
45. The number of pupils enrolling in a school in a subcounty increased to 4800 in this year. If it was a 20% increase from last year, how many pupils enrolled last year?
    1. 5760
    2. 4200
    3. 4000
    4. 5600
46. Leah's piece of land is drawn to scale 1:20000. If it measures 5cm by 3cm on the map, what is its actual area in hectares?
    1. 0.6
    2. 60
    3. 600
    4. 6000
47. The figure below shows a right angled traingle joined to a semi circle.
                                                             
    What is the area of te figure above?
    1. 5026 cm²
    2. 1925 cm²
    3. 3101 cm²
    4. 1176 cm²
48. 48. A wheel of diameter 56cm made 4000 revolutions. What distance in km did it cover?
    1. 704km
    2. 7.04km
    3. 352km
    4. 3.52km
49. 49. Cynthia bought the following items from the shop:
    3kg sugar @ Sh. 230
    32kg of rice @ Sh. 100
    6-500ml packets of milk @60 per packet. 3 litres of cooking oil for Sh. 540.
    3 bars of bathing soap for Sh.240
    If she paid using 3- 1000 shilling notes, how much balance did she get?
    1. Sh. 2180
    2. Sh. 820
    3. Sh. 340
    4. Sh. 260
50. In the figure below line FL is parallel to line GJ. Angles KIJ = 62 and IHG = 54°
                                                               
    What is the size of angle EFK?
    
    1. 126°
    2. 64°
    3. 116°
    4. 118°

MARKING SCHEME

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