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

1. What is eighteen million, eighteen | 6. thousand and cighteen and eighteen thousandths?
   1. 18 018 018.18000
   2. 18 108 018 018
   3. 18 018 018 .18
   4. 18 018 018.018
2. How many groups of hundreds are there in the total value of digit 6 in the following number?
   2 368 753.25
   1. 60 000
   2. 6 000
   3. 600
   4. 60
3. What is the value of
   0.039 × 0.051×0.063 ?
   0.013× 0.017 × 0.009
   1. 0.063
   2. 0.63
   3. 6.3
4. What is 72 072 divided by 24?
   1. 30 003
   2. 3003
   3. 303
   4. 33
5. What is the product of the LCM of 18 and 24 and the GCD of 36 and 48?
   1. 12
   2. 72
   3. 84
   4. 864
6. Below is a diagram of a rectangle.
   
   What is the area of the rectangle?
   
   1. 126m²
   2. 46m²
   3. 136m²
   4.  112m²
7. What is the value of
   3³/₄ of 5¹/₃ / +4²/₃ ÷ 1³/₄ × 1¹/₃?
   1. 17⁵/₉
   2. 22⁵/₉
   3. 23⁵/₉
   4. 18⁵/₉
8. What is the next number in the pattern?
   3, 6, 15, 42,
   1. 123
   2. 81
   3. 119
   4. 109
9. The diagram below shows a circle cut out from a semicircle.
   
   28cm
   What is the area of the remaining part of the semicircle?
   1. 308cm²
   2. 616cm²
   3. 154cm²
   4. 1232cm²
10. 24 men working at the same rate can take 48 days to complete a certain job. How many more days would it take if 8 men failed to turn up?
    1. 64
    2. 16
    3. 24
    4. 8
11. Ten pupils in a class sat for a test and got a mean of 18.9. The score for ninc pupils were 9, 12, 15, 18, 21, 24, 24, 24 and 27. What was the median score?
    1. 15
    2. 19.5
    3. 39
    4. 18
12. A businessman borrowed sh.80 000 from a financial institution at a compound interest rate of 4% per annum. How much was in his account after two years?.
    1. Sh.6 528
    2. Sh.86 528
    3. Sh.6 400
    4. Sh.86 400
13. What is the value of
    2x² + 3y +3z
         x + y + z
    if x = 3, y = x + 5 and z = x + y.
    1. 2⁵/₂₂
    2. 1⁵/₁₁
    3. 2⁵/₁₁
    4. 1⁵/₂₂
14. Mark spent ²/₅ of his salary o school fees and ¹/₄ on savings. e also spent ³/₇of the remainder on transport. If he was left with Sh. 16,800, how much was spent on savings?
    1. Sh.12 600
    2. Sh. 21 000
    3. Sh. 33 600
    4. Sh. 84 000
15. The diagram below shows a piece of land drawn to scale 1:50 000.
    
    What is the actual area of the plot in hectares?
    1. 10ha
    2. 100ha
    3. 1 000ha
    4. 10 000ha
16. Sean paid sh.35 700 for a TV set after getting a discount of 15%. How much more would he have paid had he been given 10% discount?
    1. Sh.3 780
    2. Sh.6 300.
    3. Sh.4 200
    4. Sh.2 100
17. A 33-scater bus and a 14-seater matatu ferried 343 passengers to a function. The matatu made an extra trip. If each passenger paid sh.80, how much more money did the bus earn than the matatu?
    1. Sh.18 480
    2. Sh.8 960
    3. Sh.9 520
    4. Sh.27 440
18. Construct a triangle ABC such that linc BC = 7cm, AB = 8cm and AC = 6cm. Draw a circle that touches points ABC. What is the length of the radius of the circle? 
    1. 2.0cm
    2. 3.9cm
    3. 4.2cm
    4. 8.3cm
19. In the figure below ABCD is a parallelogram and angle ABC = 80°.
    
    What is the siza of angle AED?
    1. 90°
    2. 45°
    3. 80°
    4. 55°
20. In a school there are 180 pupils in lower primary and 240 pupils in upper primary. Each lower primary child is given 2-2dl packets of milk every week. The pupils in upper primary are given 3-2dl packets cach week. How many litres do they consume in three weeks altogether?
    1. 216/
    2. 432/
    3. 648l
    4. 504l
21. The stack below was made of cubes as shown below.
    
    How many cubes were required to complete the stack?
    1. 150
    2. 60
    3. 90
    4. 75
22. Karim went on holiday on 28th October 2022 and went back to school on 3rd January 2023. For how many days was he on holiday?
    1. 65
    2. 66
    3. 67
    4. 68
23. In a school, the ratio of boys to girls is 4:3. During a sporting activity, 1/6 of the of the girls took part and 1/5 boys took part. The number of girls who did not take part was 225. What was the population of the school?
    1. 360
    2. 270
    3. 630
    4. 570
24. The table below shows the number of absentees in a class of 48 pupils.
    

    Days	Mon	Tues	Wed	Thur	Fri
    Girls	2	3	4	5	2
    Boys	5	2	1	3	5

    What was the total attendance for the week? .
    1. 33
    2. 217
    3. 240
    4. 208
25. Construct a parallelogram such that lines AB = 6cm and BC = 8cm. Angle ABC = 125°. At point C drop a perpendicular to meet the extension of line AB at X. What is the length of line AX?
    1. 10.5cm
    2. 4.5cm
    3. 6.5cm
    4. 7.6cm
26. What is the simplest form of
    3 (28x+49y) + 5 (12x-24y)?
    1. 22x + y
    2. 22x + 4ly
    3. 22x − y
    4. 22x − 41y
27. A sales agent is paid a basic salary of sh.24 000 and a commission of 4% on all the sales above sh.70 000. In one month, she earned a total of sh.39 000. What was the value of the sales that month?
    1. Sh.375 000
    2. Sh.26 800
    3. Sh.445 000
    4. Sh.345 000
28. The pic chart below represents how Ben spent his money in a certain month.
    
    If sh.32 000 was saved, how much more was spent on personal development than on clothings?
    1. Sh.96 000
    2. Sh.57 600
    3. Sh.38 400
    4. Sh.19.200
29. A bus left town A for town B on Thursday at 9.30pm. The journey took 13hrs 30 min. On which day and time did the bus get to town B in 12hr clock system?
    1. Friday 11.00pm
    2. Saturday 10.00am
    3. Friday 11.00am
    4. Saturday 10.00pm
30. A cylindrical water tank whose height is 4.2m has a diameter of 2.8m. If the tank is full of water, how many 5 more litres are needed to fill the tank?
    1. 25 872/
    2. 20 697.6/
    3. 5174.4/
    4. 12 936/
31. 31. A rectangular plot of land has a diagonal of 195m and the width measures 75m. The land is to be fenced using five strands of wire. What is the length of the wire required?
    1. 510m
    2. 2550m
    3. 1350m
    4. 2700m
32. Amani bought the following items from a shop.
    22kgs of sugar@sh. 130.
    4-litre packets of milk at sh. 120 per litre.
    2-2kgs of wheat flour@sh. 118 per kg.
    11⁄21⁄2kgs of salt for sh.45
    3litres of cooking oil @sh. 110 per half litre.
    If she paid using 2-1000 shillings notes, how much balance did she get? 
    1. Sh.1 742
    2. Sh.258
    3. Sh.1 412
    4. Sh.588
33. A clock gains 10 seconds after every two hours. The clock was set right on Tuesday at 7.30am. At what time. did it show the following Tuesday at 7.30pm?
    1. 7.15pm
    2. 7.16pm
    3. 7.29pm
    4. 7.45pm
34. Ken is 36 years older than his son. His wife is 8 years younger than him. If their total age is 106 years now, how old is his wife now?
    1. 46
    2. 22
    3. 38
    4. 28
35. The table below shows the charges of | 38. The figure below shows a triangular. sending money orders both inland and interstate.
    
    Nancy sent two inland money orders valued at sh.8 500 and sh.17 000. She also sent two interstate money orders valued at sh.4 500 and sh.22 500. How much money at the post office did she pay?
    1. Sh.53 397
    2. Sh.970
    3. Sh.53 470
    4. Sh.897
36. What is the value of x in the equation
    x + 2(x − 3) = 8
    3          2
    1. 8¹/₄
    2. 3³/₄
    3. 7¹/₃
    4. 4³/₄
37. The fractions 4/7, 7/9, 8/11 and 9/13 are to arranged in a descending order. Which is their correct order of arrangement?
    1. ⁴/₇, ⁹/₁₃, ⁸/₁₁, ⁷/₉
    2. ⁹/₁₃, ⁸/₁₁, ⁷/₉, ⁴/₇
    3. ⁷/₉, ⁸/₁₁, ⁹/₁₃, ⁴/₇
    4. ⁴/₇, ⁷/₉, ⁸/₁₁, ⁹/₁₃
38. The figure blow shows a traingular prism
    
    What is the volume of the prism?
    1. 2400cm³
    2. 4800cm³
    3. 2720cm³
    4. 5440cm³
39. In an election, four candidates took part. The winning candidate got 0.48, the second candidate got 0.22 and the third candidate got 0.6 of the remainder. If the fourth candidate got 3600 votes, how many votes than the second candidate did the winning candidate get?
    1. 7 800
    2. 14 400
    3. 6 600
    4. 30 000
40. An empty 54-seater capacity bus has a mass of 1.8 tonnes.of the seats are occupied by adults with a mean mass of 72kg and the rest occupied by children with a mean mass of 45kg. The driver has a mass of 80kg. What is the mass of the loaded bus in kgs?
    1. 3482
    2. 3.482 
    3. 5282
    4. 5.282
41. After working for 15 days, a driver and a conductor carn sh.45 000 in total. After working for 25 days the driver carns sh,43 750. How much will the conductor earn in the month of August if he did not work for five days?
    1. Sh.38 750
    2. Sh.93 000
    3. Sh.78 000
    4. Sh.32 500
42. Richard travelled from Laare to Nairobi a distance of 420km. It took him four hours to travel to Nairobi. He stayed at Nairobi for two hours and then drove back taking 3hours. What was the average speed for the whole journey?
    1. 93¹/₃ km/h
    2. 120km/h
    3. 96km/h
    4. 126km/h
43. A farmer harvested 260 bags of maize in the year 2021. In the year 2022, the harvest increased by 15%. He was left with 49 bags and sold the rest at sh.3 500. How much money did he get?
    1. Sh.1 046 500
    2. Sh.1 956 500
    3. Sh.1 785 000
    4. Sh.875 000
44. A rectangular water tank measures 1.2m by Im by 0.75m. How many litres does it hold when half full?
    1. 900/
    2. 450/
    3. 1800l
    4. 1350l
45. Three girls contributed sh.3 600 to buy a gift. Nancy contributed twice as much as Nimo and Mary. Mary contributed sh.600 more than Nimo. If Nimo contributed sh.x, which of the following equations can be used to get the amount Nancy contributed?
    1. 2x + 600 = 3600
    2. 4x + 1 200 = 3 600
    3. 6x + 1 800 = 3 600
    4. 6x + 1 200 = 3600
46. Nephat sold a cow for sh.17 600 making a 12% loss. At what price should he have sold the cow to make a 30% profit?
    1. Sh.20 000
    2. Sh.24 000
    3. Sh.22 800
    4. Sh.26 000
47. The hire purchase price of an item is 140% of the marked price. Linet paid a deposit of sh.24 000 and a monthly deposit of sh.12 000 for one year. What was the marked price of the item?
    1. Sh.144 000
    2. Sh.168 000
    3. Sh.120 800
    4. Sh.48 000
48. The table below shows a farc chart from town A to town F.
    
    Anita, her husband and their four children travelled from town A to town F via town D. How much fare did they pay if the children paid half their fare?
    1. Sh.1 320
    2. Sh.1 980
    3. Sh.1 200
    4. Sh.2 400
49. What is the square root of √0.0081 ?
    1. 0.09
    2. 0.009
    3. 0.03
    4. 0.3
50. The graph below shows the journey by a motorist from town A to town B and back.
    
    What is the average speed for the whole journey?
    
    1. 64km/h
    2. 30km/h
    3. 24km/h
    4. 48km/h

MARKING SCHEME

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