Mathematics Questions and Answers - Class 8 Mid Term 2 Exams 2023 Set 4

1. What is 5014.15 written in words?
   1. Five thousand and fourteen and fifteen
   2. Five thousand and fourteen and fifteen hundredths.
   3. Fifty thousand and fourteen and fifteen hundredths.
   4. Fifty thousand and fourteen and fifteen 
2. What is the number 19.9968 rounded off to the nearest hundredths?
   1. 20.0
   2. 19.10
   3. 20.00
   4. 19.99
3. What is the value of 
   3(4²+ 2²) − 5 x 6 ÷ 2?
                 3 × 5
   1. 4
   2. 30
   3. 0.3
   4. 3
4. What is the product of the total value of digit 3 and the total value of digit 9 in the number 7643982?
   1. 2700000
   2. 270000
   3. 27000
   4. 2700
5. What is the value of
   5²/₃ ÷ (⁵/₈ − ¹/₂) × ²/₁₅ ÷ 1¹/₅? 
   1. ⁷/₁₅₀
   2. 5¹/₂₇ 
   3. ²⁷/₁₃₆ 
   4. 5²⁷/₁₃₆ 
6. Draw a rhombus KLMO whose sides are 5cm and angle KLM 65°. What is half the length of the shorter diagonal?
   1. 5.4cm
   2. 42.3cm
   3. 4.6cm
   4. 2.7cm
7. What is the LCM of 18, 28 and 84 written in its prime factors?
   1. 2² x 3 x 7²
   2. 2² x 3² x 7²
   3. 2² x 3² x 7
   4. 2 x 3² x 7²
8. Which group of the following decimals increases by hundredths?
   1. 0.2345, 0.3345, 0.4345, 0.5345
   2. 0.5219, 0.5319, 0.5419, 0.5519
   3. 0.3149, 0.3159, 0.3169, 0.3179
   4. 0.4451, 0.4452, 0.4453, 0.4454
9. Which one of the following models folded will have the same number of faces and vertices?
   
10. The price of a skirt including a 16% sales tax is Shs 2320. What is the price of the skirt before the tax?
    1. Shs 2691.20
    2. Shs 1948.80
    3. Shs 2000
    4. Shs 320
11. Six hundred pupils of Makindu School were each given 10dl packets of milk each day for 10 days. How many litres of milk were given altogether?
    1. 600
    2. 60000
    3. 60
    4. 6000
12. What is the value of x in the equation
    2x + 3 = 3 − x ?
         4
    1. 1.5
    2. 2.5
    3. 2.0
    4. 3.0
13. Njima spent 20% of his income on food and ¹/₃ of the remainder on school fees. If he was left with Shs 5600, what was his income?
    1. Shs 1050
    2. Shs 4480
    3. Shs 6720
    4. Shs 10500
14. Ojwang bought a radio on hire purchase terms. He made a deposit of Shs 2700 and the rest in 12 equal monthly instalments. The hire purchase price of the radio was 20% more than the marked price. Given marked price as Shs 16000, how much was each monthly instalment?
    1. Shs 1375
    2. Shs 1600
    3. Shs 3200
    4. Shs 16500
15. In the figure below, ABDC is a rhombus of side 17cm, BD is 30cm long.
    
    What is the length of AC?
    1. 8cm
    2. 16cm
    3. 2.0
    4. 15cm
16. Onteri bought the following items from a shop;
    4kg of sugar @ Shs 120
    ½kg onions @ Shs 180 per kg
    Four-2kg packets of maize flour @ Shs 110
    A bar of soap @ Shs 150
    ½kg of salt for Shs 50
    He paid for the items using three-five hundred shilling notes. How much balance did he get?
    1. Shs 1210
    2. Shs 290
    3. Shs 1650
    4. Shs 150
17. The diagram below represents Okero's piece of land.
    
    What is its perimeter?
    1. 51m
    2. 55m
    3. 44m
    4. 33m
18. Construct triangle ABC in which line AB = 8cm. Angle ABC = 120° and line BC 6cm. Draw the perpendicular bisectors of line BC and line AB.Let the bisectors meet at point Q. What is the length of line QB?
    1. 6.5cm
    2. 7.5cm
    3. 6.0cm
    4. 7.0cm
19. During an election Ng'ang'a, Otieno, Maina and Wamalwa contested for a seat. Maina received 16241 which was 5627 votes more than Ng'ang'a and 3569 votes less than Otieno. If the total number of people who voted was 79223 and 968 votes were spoilt, how many votes did Wamalwa get?
    1. 31590
    2. 10614
    3. 19810
    4. 32658
20. What is the value of
    5.1 x 0.006 x 6.5 ?
          3.4 x 0.13
    1. 0.45
    2. 45
    3. 0.045
    4. 4.5
21. A map is drawn on a scale of 1:50000. What is the actual area of a rectangular plot of land in hectares represented by a length of 8cm and width of 5cm on the map?
    1. 40
    2. 1000
    3. 100
    4. 200
22. A saleslady carns a basic salary of Shs 9000. She is also given a 10% commission on the value of goods sold above Shs 150000. In one month she got a total carning of Shs 16000. What were the total sales?
    1. Shs 70000
    2. Shs 80000
    3. Shs 220000
    4. Shs 165000
23. What is the value of the expression
    y²(2x − w)
      xw + y
    if y = x+4, w = ½(y + x) and x=4?
    1. 4
    2. 6
    3. 8
    4. 2
24. The diagram below is an open trough used to feed animals.
    
    The outer surface of the trough was painted. What area was painted?
    (Тakе π=²²/₇)
    1. 11.88m²
    2. 5.94m²
    3. 7.48m²
    4. 4.4m²
25. The table below shows the arrival and departure time of a bus travelling between Kisii and Kisumu.
    

    Station	Arrival time	Departure time
    Kisii	______	6.30a.m.
    Suneka	9.00 a.m	9.15 a.m
    Oyugis	12.20 p.m	12.30 p.m
    Ahero	1.30 p.m	1.45 p.m
    Kisumu	3.15 p.m	____________

    How long does it take the bus to travel from Kisii to Ahero?
    1. 7hr 15min
    2. 7 hours
    3. 6 hours
    4. 6hrs 15min
26. Mutuma borrowed some money at a simple interest rate of 10% p.a. After 24 months he paid a total of Shs 20000 as interest. How much had he borrowed?
    1. Shs 100000
    2. Shs 80000
    3. Shs 140000
    4. Shs 120000
27. What is the next number in the pattern below?
    69, 86, 106, 129,____________
    1. 149
    2. 155
    3. 146
    4. 152
28. The headteacher of Bidii Academy attended a workshop for twelve days. If the workshop started on Thursday 25th of February 2015, when did it end?
    1. 7^th March 2015
    2. 10^th March 2015
    3. 9^th March 2015
    4. 8^th March 2015
29. What is the value of (2¹/₄)² + ?
    1. 5¹/₁₆ 
    2. 8⁵³/₈₀ 
    3. 7⁵³/₈₀ 
    4. 2³/₅ 
30. A fruit vendor sold 44 more bananas than oranges. He sold one banana at Shs 4 and one orange at Shs 5. His total sales amounted to Shs 500. What percentage of the total sales was obtained from the sale of oranges?
    1. 64%
    2. 45%
    3. 55%
    4. 36%
31. The figure below represents a square piece of land ABCD.
    
    What is the area of the shaded part if each side of the land measures 56m?
    (Тake π = ²²/₇)
    1. 1904m²
    2. 1232m²
    3. 4368m²
    4. 3136m²
32. In a class there are three girls for every two boys. If there are 12 more girls than boys how many pupils were absent on a day when 48 pupils were present?
    1. 12
    2. 2
    3. 240
    4. 60
33. There is a loss of 30% when an item is sold at Shs 4200. At what price must it be sold in order to make a 10% profit?
    1. Shs 14000
    2. Shs 6600
    3. Shs 5460
    4. Shs 2400
34. Figure ABCD is a trapezium in which angle ABC= 130°, <BCA 30°. Triangle CAD is a right angled triangle.
    
    What is the size of angle ADE?
    
    1. 20°
    2. 70°
    3. 110°
    4. 120°
35. A farmer tied a cow using a rope 14m on a peg to graze. The following day he tied a goat using a rope 7m on the same peg to graze. How much more area was the cow likely to graze than the goat?
    1. 616m²
    2. 154m²
    3. 770m²
    4. 462m²
36. Which of the following is not a property of a right angled triangle?
    1. Two sides are perpendicular.
    2. Two sides of its angles are acutc.
    3. The longest side is opposite the largest angle.
    4. The smallest angle is opposite the longest side.
37. A trade sold 0.625 of the number of goats he had to a butcher. How many goats was he left with as a percentage?
    1. 62.5%
    2. 37.5%
    3. 38.5%
    4. 0.375%
38. Each diagonal of a rectangular lawn is 15m. If one side is 12m, what is the perimeter of the lawn?
    1. 42m
    2. 54m
    3. 21m
    4. 108m
39. What is the expression
     4(x−2y)+2x−5y. 
    8(4y−x)−10y+8x 
    in the simplest form?
    1.   6x−3y  
       22y−16x
    2. 6x−13y_
          22y
    3.   6x−13y  
       40x −18y
    4.   6x−13y  
        22y+16x
40. Sheila paid Shs 80000 for a motorbike after getting a discount of 20% on the marked price. How much would she have paid if she had been given a 10% discount?
    1. Shs 1000000
    2. Shs 72000
    3. Shs 64000
    4. Shs 90000
41. The figure below shows lines AE, BF, CG and DH which intersect at point O.
    
    What is the size of angle HOG?
    1. 60°
    2. 40°
    3. 50°
    4. 30°
42. What is ⁴/₅, 25%, 0.5, 1¹/₄ arranged in descending order?
    1. 25%, 0.5, ⁴/₅, 1¹/₄
    2. 1¹/₄, ⁴/₅, 0.5, 25%
    3. ⁴/₅, 1¹/₄, 25%, 0.5
    4. 0.5, 1¹/₄, ⁴/₅ ,25%
43. In a class, the ratio of the number of boys to girls is 5:3. What is the percentage of boys in that class?
    1. 166²/₃%
    2. 62¹/₂%
    3. 60%
    4. 40%
44. 18^th July 2014 was a Sunday. Which day was 20^th September the same year?
    1. Monday
    2. Tuesday
    3. Saturday
    4. Sunday
45. Jenny had the following denominations in her cash box.
    150 - One shilling coins
    20- Five shillings coins
    40 - Fifty shillings notes
    100 - Hundred shilling notes
    5- Two hundred shillings notes
    She changed all the money to fifty shilling notes. How many notes did she get?
    1. 562
    2. 256
    3. 652
    4. 265
46. Six men working at the same rate can complete painting a house in 8 days. How many more days will it take 4 of the men to complete the same piece of work?
    1. 12
    2. 6
    3. 3
    4. 5
47. The mean of 7 numbers is 5. Six of the numbers are 2, 3, 1, 2, 7, 8. Work out the median of the numbers?
    1. 2
    2. 2.5
    3. 3
    4. 5
48. Below is a rectangular tank not drawn to scale. It is ²/₃ full of water.
    
    How many mmore litres are needed to fill it?
    1. 25000
    2. 12500
    3. 37500
    4. 125000
49. A room measures 7m long by 6m wide by 4m high. If the door and windows occupy 20m² and its walls were painted, what area was painted in m²?
    1. 104
    2. 188
    3. 132
    4. 84
50. Below is a travel graph of a motorist from town J to K and back.
    
    What was his average speed for the whole journey in m/s?
    1. 60m/s
    2. 90m/s
    3. 25m/s
    4. 16²/₃ m/s

MARKING SCHEME

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