Mathematics Questions and Answers - Class 8 Mid Term 2 Exams 2023 Set 3

1.  What is 6085307 written in words?
   1. Sixty million eight hundred and fifty three thousand three hundred and seven.
   2. Six million eight hundred and five thousand three hundred and seven.
   3. Six million eighty five thousand three hundred and seven.
   4. Six million eighty five thousand and thirty seven
2. What is the total value of digit 1 in the difference between nine million and eight thousand and seventy six?
   1. 1000
   2. 10000
   3. 100000
   4. 100
3. The figure below shows an isosceles triangle.
   
   What is its area in cm^2?
   1. 60cm²
   2. 255cm²
   3. 30cm²
   4. 120cm²
4. What is the value of: 9² + 129 − 48?
                                         3        
   1. 12
   2. 44
   3. 22
   4. 76
5. What is the value of;
   ⁷/₈ of 2²/₇ − (1³/₁₆ − ³/₈) ?
   
   1. ¹³/₁₆
   2. 1 ³/₁₆
   3. 2 ¹³/₁₆
   4. 2
6. What is 569.997 rounded off to the nearest hundredths?
   1. 570.00
   2. 570.99
   3. 569.10
   4. 567.99
7. The figure below shows a triangular prism.
   
   What is its volume?
   1. 2100cm³
   2. 4760cm³
   3. 1520cm³
   4. 2380cm³
8. What is the value of the reflex angle FLM in the figure below?
   
   
   1. 87°
   2. 107°
   3. 273°
   4. 187°
9. Musichi bought the following items from a shop.
   4 packets of milk @ sh. 65.
   - 2 loaves of bread @ sh. 80.
   - Two - 2kg packets of wheat flour @ sh. 195.
   - 3 packets of salt for sh.60
   - 1 1⁄2 kg of sugar @ sh. 180 per kg.
   How much balance did he receive if he paid for the items using three - 500 shilling notes?
   1. Sh. 240
   2. Sh. 360
   3. Sh 300
   4. Sh 140
10. What is the area of the shaded region in the figure below?
    1. 154cm²
    2. 42cm²
    3. 56cm²
    4. 308cm²
11. What is the value of x in:
    3x  ₊ 2( x − 3) = 1
     4          6
    
    1. 12/₁₃
    2. 2 ½
    3. ^13/₂₄
    4. 1 ¹¹/₁₃
12. What is the shortest length of a material from which equal pieces of 18m, 30m and 36m can be divided without a remainder?
    1. 360m
    2. 160m
    3. 6m
    4. 180m
13. The area of a square piece of land is 3136m². What is twice its perimeter?
    1. 224m
    2. 448m
    3. 12544m
    4. 56m
14. Which of the following groups of decimals increases by hundredths?
    1. 0.1234, 0.2234, 0.3234, 0.4234
    2. 0.6219, 0.6319, 0.6419, 0.6519
    3. 0.3049, 0.3059, 0.3069, 0.3079
    4. 0.2451, 0.2452, 0.2453, 0.2456
15. Draw triangle EAC in which line EA=5cm and line EC = line AC 4.5cm. Construct a circle touching points E, A and C. Find the radius of the circle.
    1. 2.7cm
    2. 1.8cm
    3. 3.1cm
    4. 3.5cm
16. What is the value of; 436.352 ÷ 6.8?
    1. 68.014
    2. 6.814
    3. 68.14
    4. 681.04
17. In Kwanzu's farm, there were 44 more cows than sheep. The number of goats were half that of sheep. If there were q sheep, which expression correctly represents the total number of animals on the farm?
    
    1. 2¹/₂q − 44
    2. 2q − 44
    3. 2¹/₂q + 44
    4. 1¹/₂q + 44
18. What is the next number in the sequence below?
    9, 10, 19, 29, 48,____
    
    1. 59
    2. 77
    3. 56
    4. 58
19. A bus left town Q at 2230hrs on Monday. It took 8 ³/₄ hrs to reach town R. When did it reach town R?
    1. Tuesday 7:15am
    2. Monday 7:15pm
    3. Tuesday 7:15pm
    4. Monday 7:15am
20. The following are properties of a certain quadrilateral.
    1. Opposite angles are equal.
    2. Diagonals are not equal and bisects each other at right angles.
    3. Opposite sides are equal.
    4. All sides are equal.
       Which quadrilateral is being described above?
       1. Square
       2. Rectangle
       3. Trapezium
       4. Rhombus
21. Kimengich's salary increased from 40000 to 50000. What was its ratio increase?
    1. 5:4
    2. 2:3
    3. 4:5
    4. 3:2
22. Dina spent ¹/₃ of his salary on food, ¹/₄ of the reminder on school fees. She spent ¹/₂ of the amount spent on school fees on rental payments and the rest was saved. If she saved sh.15000, how much money did she spent on school fees?
    1. Sh. 36000
    2. Sh. 6000
    3. Sh. 12000
    4. Sh. 9000
23. Which of the following sets of measurements will form a right angled triangle?
    1. 7cm, 12cm, 13cm
    2. 4cm, 7½cm, 8½
    3. 4cm, 12cm, 12 ½cm
    4. 9cm, 16cm, 25cm
24. A lorry was packed with cartons each containing 500g and 250g packets of sugar. The total weight of the packets was 900kg. If the number of 500g packets was 800, how many packets were in the lorry altogether?
    1. 1200
    2. 2000
    3. 2800
    4. 3600
25. Jerusa drove from 7:30am to 11:00am at an average speed of 68km/h before repairing a puncture which took her 45minutes. She then continued with the journey covering 306km at a speed of 72km/h. What was her average speed for the whole journey?
    1. 70km/h
    2. 70½ km/h
    3. 64km/h
    4. 57⁵/₁₉km/h
26. The figure below shows a cylinder whose curved surface area is 968cm² and its height is 22cm. What is its diameter?
    
    
    
    1. 14cm
    2. 7cm
    3. 44cm
    4. 28cm
27. Landi sold an item for sh. 9900 and made a 10% loss. What was the cost price of the item?
    1. Sh. 9910
    2. Sh. 900
    3. Sh.11000
    4. Sh. 9810
28. Forty two men were hired to repair a bridge in 14 days. After working for 4 days, seven men got sick and were
    laid off. How long did it take to finish the job completely?
    1. 16 days
    2. 16 ⁴/₅ days
    3. 12 days
    4. 84 days
29. Which is the smallest number that can be subtracted from 538715 to make it divible by 11?
    1. 4
    2. 1
    3. 3
    4. 0
30. The hire purchase price of a printer is 30% more than the cash price. Okoth bought it on hire purchase terms by paying a deposit equal to 14% of the cash price and equal monthly installments for twenty nine months. How much was each monthly instalment if the cash price of the printer was sh.47000?
    1. Sh. 1393.79
    2. Sh. 2042.06
    3. Sh. 6580.00
    4. Sh. 1880.00
31. The table below shows the number of shorts and shirts made in one week by a tailor.
    

    Day	Mon	Tue	Wed	Thur	Fri	Sat	Sun
    Shorts	45	40	50	45	40	20	15
    Shirts	25	35	20	20	25	70	8

    
    If sh.95 is paid for each short made and sh.115 for each shirt made, on which day was the tailor paid most?
    1. Tuesday
    2. Saturday
    3. Sunday
    4. Wednesday
32. Which is the correct order of writing the fractions ²/₅, ¹/_6, ½, and ²/₃  in descending order
    1. ¹/_6, ²/_5, ½, ²/₃ 
    2. ²/_3, ½, ²/_5, ¹/₆
    3. ²/_5, ²/₃, ¹/_6, ½
    4. ²/_3, ½, ²/₅, ¹/₆
33. A sales agent is paid a basic salary of sh.24,000 plus a commission of 12% on the value of goods sold above sh.100,000. What was the total sales in the month he earned a total of sh.43,680?
    1. Sh. 264000
    2. Sh. 31680
    3. Sh. 164000
    4. Sh. 167680
34. In the figure below, line AC is parallel to line DG. Line EB = line Bf and angle ABE = 54°. What is the size of angle EBF?
    
    
    1. 126°
    2. 54°
    3. 108°
    4. 72°
35. Wanda borrowed sh.120000 and paid after two years. If he was charged simple interest at the rate of 15% p.a, how much money did he pay back?
    1. Sh. 158700
    2. Sh. 156000
    3. Sh. 84000
    4. Sh. 36000
36. The diagonals of a rhombus measure 9cm and 12cm. What is the area of the rhombus?
    1. 108cm²
    2. 54cm²
    3. 225cm²
    4. 42cm²
37. What is the value of w in the inequality; 3w − 17< 2w −  3?
    1. w<14
    2. w<4
    3. w>7
    4. w>4
38. Tuto paid sh.36000 for a tablet after getting a 20% discount on the marked price. What was the marked price?
    1. Sh. 7200
    2. Sh. 45000
    3. Sh. 43200
    4. Sh. 9000
39. The circle graph below shows how Wairimu spends her salary.
    
    If she spends sh.4500 on rent, how much more does she spend on food than on rent?
    
    
    1. Sh. 1000
    2. Sh. 5500
    3. Sh. 100
    4. Sh. 10000
40. The figure below is part of a parallelogram MUNA. Complete the parallelogram.
    
    What is the length of the shorter diagonal?
    
    1. 7.5cm
    2. 7.0cm
    3. 5.5cm
    4. 6.2cm
41. A business lady bought 12 trays of eggs at sh.350 per tray. On the way all eggs in two trays broke. She sold the rest of the eggs at sh.12. If each tray contained 30 eggs, how much was her loss?
    1. Sh. 3600
    2. Sh. 600
    3. Sh. 320
    4. Sh. 4200
42. A road measuring 23cm on a map has an actual length of 92km. What was the scale used?
    1. 1:400
    2. 1:4000
    3. 1:40000
    4. 1:400000
43. The stack below was painted all over except the bottom. How many cubes were painted on two faces only?
    
    
    
    1. 12
    2. 36
    3. 14
    4. 8
44. A family uses five 500ml packets of milk everyday. How many deciliters of milk did the family use in the months of February and March 2023?
    1. 14.75dl
    2. 14750dl
    3. 1475dl
    4. 1.475dl
45. What is the value of; 4.2 x 0.65 x 1.6?
                                      6.4 x 1.3 x 0.07
    1. 750
    2. 0.75
    3. 75
    4. 7.5
46. Tap A can fill a tank in 18 minutes while tap B can fill the same tank in 16 minutes. Tap C can empty the same tank in 12 minutes. How long would it take to fill the tank if the three taps were opened at the same time?
    1. 1 ¹/₅minutes
    2. 2 minutes
    3. 28 ⁴/₅minutes
    4. 1 ¼minutes
47. The figure below shows a net of a certain solid. Which solid will be formed if the net is folded?
    
    
    
    1. 1¹/₅ minutes
    2. 2 minutes
    3. 28 ⁴/₅
    4. 1¹/₄
48. What is the value of x in the figure below if its perimeter is 56cm?
    
    
    1. 24
    2. 50
    3. 12
    4. 10
49. The mean of six numbers is 9. Five of these numbers are 3, 8, 12, 4 and 19. What is the sum of the mode and
    median of the numbers?
    1. 9
    2. 16
    3. 8
    4. 17
50. The graph below show two motorists travelling from different towns a distance of 350km.
    
    How far apart were the two motorists at 11am?
    
    1. 315km
    2. 100km
    3. 215km
    4. 200km

MARKING SCHEME

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