Mathematics Questions and Answers - Class 8 Mid Term Exams Term 1 2023 Set 4

QUESTIONS

1. What is five million, sixty eight thousand, four hundred and fifty in numerals?
   
   1. 5 608 450
   2. 5 068 450
   3. 5 680 450
   4. 5 068 405
2. Round off 68 964 to the nearest thousands
   1. 68 900
   2. 70 000
   3. 68 000
   4. 69 0003.
3. What is the total value of digit 9 in the number 798 643?
   
   1. 900
   2. 900 000
   3. 90 000
   4. 9000
4. What is ⁴/₅, ⁹/₁₁, ¾ and ⁷/₈, arranged in a descending order?
   1. ⁷/_8, ⁹/_11, ⁴/_5, ¾
   2. ⁷/_8, ⁴/_5, ⁹/_11,  ¾
   3. ⁹/_11, ⁷/_8, ¾, ⁴/₅
   4.  ¾, ⁴/_5, ⁹/_11, ⁷/₈ 
5. What is the next number in the pattern? 
   29, 38, 47, 56, ___________________. 
   
   1. 78
   2. 87
   3. 67
   4. 65
6. Which one of the following numbers is  divisible by 11?
   
   1. 548 997
   2. 527 142
   3. 511 488
   4. 571 432
7. The area of a square plot of land is 0.1849 hectares. What is the length of one side of the plot in metres?
   
   1. 0.43m
   2. 4.3m
   3. 43m
   4. 430m
8. What is 28. 568 to the nearest tenths?
   
   1. 28.6
   2. 29.0
   3. 28.57
   4. 28.5
9. Janet bought the following items from a shop:
   3 packets of maize flour@sh. 160.00
   1½ kg of greengrams @sh. 80.00 per kg
   2 bars of soap for sh. 230.00
   4 eggs@sh. 15.00
   How much should she give the shopkeeper to get a balance of a one hundred shilling note?
   
   1. Sh. 890.00
   2. Sh. 1 010.00
   3. Sh. 1 000.00
   4. Sh. 990.00
10. What is the place value of digit 4 in the number 1 485 632?
    
    1. Millions
    2. Hundreds of thousands
    3. Tens of thousands
    4. Thousands
11. What is the LCM of 18, 24 and 36?
    1. 108
    2. 6
    3. 72
    4. 96
12. What is the value of:
    0.95 + 13.8 − 0.08 + 0.7?
    1. 15.37
    2. 13.57
    3. 15.73
    4. 13.75
13. In a cereal store, there were 600 bags of maize. A lorry transported 45 bags on each trip. How many bags did the lorry transport in the last trip?
    1. 13
    2. 25
    3. 30
    4. 15
14. What is the value of:
    5³/₈ +1½ of 1¹/₆ ÷ 1³/₄?
    
    1. 5³/₄
    2. 6³/₈
    3. 8³/₅
    4. 4³/₁₀
15. In an animal census carried out in a certain park, the number of gazelles was 5 848 and that of buffaloes was 1 246 less than the number of gazelles. The number of wildebeest was half the total number of gazelles and buffaloes. What was the total population of the animals in the park?
    
    1. 15 675
    2. 5 225
    3. 10 641
    4. 18 468
16. A rectangular plot of land measures 85 metres long and 55 metres wide. The land was fenced using four strands of barbed wire. What was the total length of the barbed wire used?
    
    1. 280 metres
    2. 4 675 metres
    3. 1 120 metres
    4. 18 700 metres
17. A matatu arrived at Kisumu from Nyeri on Thursday at 0430hrs. If the journey took 8¾, hours, on which day and time did the matatu depart from Nyeri? 
    1. Wednesday, 7.45am
    2. Wednesday, 7.45pm
    3. Thursday, 1. 15am
    4. Thursday, 1.15pm
18. In the figure below, line AB is parallel to DC. Lines EF and PQ are transversal lines.
    
    Which of the following statements is true?
    1. Angle (k = m) (corresponding angles)
    2. Angles (t = u) (vertically opposite angles)
    3. Angles (m = u) (alternate angles) 
    4. Angles (v + t) = 180° (co-interior angles)
19. The table below shows the quantity of milk in litres delivered by a farmer for one week. The amount of milk delivered on Friday is not indicated.
    

    Day of the week	Mon	Tue	Wed	Thur	Fri	Sat	Sun
    Amount in litres	60	75	50	67	___	50	68

    The average amount of milk delivered that week was 65 litres. What was the amount of milk delivered on Friday?
    1. 85ℓ
    2. 65ℓ
    3. 75ℓ
    4. 95ℓ
20. The following are properties of a quadrilateral:
    1. All sides are equal.
    2. Diagonals are equal and bisect each other at 90°
    3. Interior angles add up to 360°
    4. Each interior angle is a right angle.
       Which of the following properties describe a rhombus?
       1. i, iv
       2. ii, iv
       3. i, iii
       4. ii, iii
21. The parallel lines of a trapezium are 36cm and 28cm. The perpendicular distance between the parallel lines is 22cm. Calculate the area of the trapezium.
    1. 740cm²
    2. 704cm²
    3. 1 008cm²
    4. 792cm²
22. Simplify: 3(4p − 3q) + 2(2p − q)
    1. 16p − 7q
    2. 16p + 11q
    3. 16p + 7q
    4. 16p − 11q
23. A map is drawn to a scale of 1:20 000. What is the distance of a road which is 35cm on the map in kilometres?
    1. 7km
    2. 70km
    3. 700km
    4. 0.7km
24. Ronaldo, Messi and Mbappe scored goals for their team during a football match. Ronaldo scored k goals while Messi scored twice as many goals as Ronaldo. Mbappe scored two goals more than Messi. How many goals were scored altogether by the players?
    1. 5k − 2
    2. 2k + 2
    3. 5k + 2
    4. 3k − 2
25. What is the value of 2 (k − b)
                                           t
    when t = 4, b = t +1 and k = 2t?
    1. 1¼
    2. 1½
    3. 1¹/₈
    4. 1¹/₃
26. Construct triangle ABC in which line AB=7cm, BC= 5cm and angle ABC = 120°. Join line A to C. Draw a perpendicular bisector of line AB and let the bisector meet line AC at K. Measure the distance KC.
    1. 6.2cm
    2. 10.5cm
    3. 6.6cm
    4. 2.6cm
27. An open cylindrical tank has a radius of 3.5 metres and a height of 1.5 metres. The inside of the tank was painted. What area of the tank was painted?
    1. 71.5m²
    2. 57.75m²
    3. 110m²
    4. 38.5m²
28. In the year 2022, the number of pupils in a school was 1 200. In 2023, the number of pupils increased by 40%. How many pupils are there?
    1. 480
    2. 1 608 
    3. 720
    4. 1 680
29. The figure below represents a plot of land bounded by two straight edges and two semicircles. Three strands of wire were used to fence the plot. 
    
    What was the length of the wire used?(Take π = ²²/₇)
    
    1. 0.94km
    2. 2.82km
    3. 940km
    4. 2 820km
30. A company sold 4.5 tonnes of sugar in 2kg packets. How many packets were sold?
    
    1. 2 500
    2. 225
    3. 250
    4. 2250
31. The diagram below represents a block  of wood, a cuboid in shape.
    
    Calculate the surface area of the block.
    
    1. 15 232cm²
    2. 9 452cm²
    3. 69 360cm²
    4. 12 320cm² 
32. Onyango paid sh. 1 452 for an item after getting sh. 198 as a discount. What percentage discount did he get?
    
    1. 13.6%
    2. 14.2%
    3. 12%
    4. 15%
33. A cylindrical container has a radius of 14cm and a height of 80cm. How many litres of water can it hold when full?
    1. 4.928ℓ
    2. 49.28ℓ
    3. 492.8ℓ
    4. 49 280ℓ
34. The diagram below represents a plot of land which is parallelogram in shape.
    
    What is the area of the plot in Ares?
    1. 360
    2. 432
    3. 180
    4. 270
35. Christopher deposited sh. 160 000 in bank that earned simple interest at the rate of 8% p.a. How much money was in his account at the end of 18 months?
    1. Sh. 23 040
    2. Sh. 19 200
    3. Sh. 183 040
    4. Sh. 179 200
36. Kirimi used a ladder to climb to the top of a wall. He placed the bottom of the ladder 10 metres away from the wall. The ladder touched the wall at a height of 24 metres. What was the length of the ladder?
    1. 34 metres
    2. 32 metres 
    3. 26 metres
    4. 40 metres
37. Irene bought a hen for sh. 400. After a few months, she sold it for sh. 560. Calculate the percentage profit made.
    1. 28⁴/₇%
    2. 40%
    3. 20%
    4. 14²/₇%
38. Musau and Mutiso shared some money in the ratio of 5:3. The amount of money shared was sh. 120 000. How much did Mutiso receive?
    
    1. Sh. 80 000
    2. Sh. 40 000
    3. Sh. 75 000
    4. Sh. 45 000
39. The marked price of TV set was sh. 48 500. Wanjala bought it on hire purchase by paying a deposit of sh. 15 000 and eight equal monthly instalments of sh. 5 000 each. How much more did he pay on hire purchase?
    1. Sh 6 500
    2. Sh 5 500
    3. Sh 7 500
    4. Sh 8 500
40. The production of beans in a farm decreased from 1 800 bags in year 2015 to 1 500 bags in the year 2016. What was the ratio decrease?
    1. 1:6
    2. 6:5
    3. 5:6
    4. 5:1
41. 12 men can complete digging a shamba in 20 days. How many days can it take to dig the same shamba if 2 men fail to turn up?
    
    1. 120 days
    2. 24 days
    3. 16²/₃ days
    4. 100 days
42. Construct triangle PQR in which line PQ=5.5cm, PR= 6cm and angle PQR = 60°. Draw a circle that touches the vertices of the triangle. Measure the radius.
    1. 2.7cm
    2. 4.3cm
    3. 1.5cm
    4. 3.5cm
43. A salesman earns a commission of 12% in every sales of goods above sh. 10 000. How much did he earn if he sold goods worth sh. 250 000?
    1. Sh. 28 800
    2. Sh. 2 880
    3. Sh. 30 000
    4. Sh. 3 000
44. The pie chart below shows the number of cars, pickups, lorries and vans assembled at Nairobi Factory in one month.The factory assembled 120 pickups. How many vans were assembled?
    
    The factory assembled 120 pickups. How many vans were assembled?
    1. 270
    2. 360
    3. 330
    4. 1080
45. The table below shows inland postal charges for letters.
    

    Weight of the letter	Sh.	Cts
    Up to 20g Over 20g to 50g 55 Over 50g to 100g Over 100g to 250g Over 250g to 500g Over 500g to 1 kg Over 1 kg to 2kg	31  55  86  113  145  193  224	00  00  00  00  00  00  00

    Patrick posted two letters each weighing 100g and another one weighing 1.8kg. How much did he pay at the post office?
    1. Sh. 310.00
    2. Sh. 450.00
    3. Sh. 337.00
    4. Sh. 396.00
46. A motorist driving at a speed of 80km/hr was expected to arrive in time in town B, 300km away. After driving for 1½ hours, the car got a puncture and it took 15 minutes to change the wheel. At what speed did he drive after changing the wheel if he had to arrive at the expected time?
    1. 100km/hr
    2. 90km/hr
    3. 120km/hr
    4. 80km/hr
47. In the figure below, ABC and ADE are straight lines. Line AB = BD = BC. Angle BDA = 55°
    
    What is the measure of angle CDE?
    
    1. 110°
    2. 60°
    3. 70°
    4. 90°
48. Which one of the following statements is true about the number of faces and edges of an open cuboid? It has 
    1. 5 faces and 12 edges. 
    2. 6 faces and 12 edges.
    3. 5 faces and 8 edges.
    4. 8 faces and 12 edges.
49. Decrease sh. 600 by 17%
    1. Sh. 702.00
    2. Sh. 617.00
    3. Sh. 498.00
    4. Sh. 716.00
50. The travel graph drawn below shows Oticno's journey from town A to town B. a distance of 500km
    
    Calculate the average speed for the whole journey.
    1. 75km/hr
    2. 62½km/hr
    3. 80½km/hr 
    4. 90km/hr

MARKING SCHEME

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