Mathematics Questions and Answers - Class 8 Mid Term 2 Exams 2023 Set 5

1. What is twenty million three hundred thousand two hundred and four and four hundredths in symbols?
   1. 203002004.4
   2. 20300204.04
   3. 20300204.4
   4. 20302004.04
2. Wht is 87.987 rounded off to the nearest hundredths?
   1. 87.09
   2. 88.00
   3. 87.99
   4. 87.98
3. What is the value of ½(¾ +¹/₈) + ¼ × ²/₉?
   1. ⁷/₁₆
   2. ²/₇
   3. ⁷/₁₈
   4. ⁴/₁₇
4. What is the total value of digit 5 after the product of 0.27 and 0.15?
   1. Thousands
   2. Tens of hundredths
   3. 0.0005
   4. Hundred of thousandths
5. Kipchoge went round the truck represented below fifteen times.
   
   What distance did he cover in km?
   (Take л = ²²/₇)
   1. 6600
   2. 6.6
   3. 0.6
   4. 66
6. A loaded lorry with bags of maize weighs 5.6 tonnes. Each bag of maize weighs 70kg. Calculate the weight of the empty lorry if the number of bags of maize were 60.
   1. 4.2 tonnes
   2. 4.7 tonnes
   3. 1.4 tonnes
   4. 1.3 tonnes
7. A fish pond has a length of 2.5m, width 0.5m and height 1.5m. What is the capacity of the fish pond in litres?
   1. 1.875
   2. 1875000
   3. 1875
   4. 0.1875
8. Wairimu sold 550 items at sh 120 each in the month of January. In the following month she sold the items less 15%. How much money did she earn from her sales in the following month?
   1. sh 56100
   2. sh 9900
   3. sh 54200
   4. sh 81900
9. What is ²/_9, ⁴/₇, ¹/₃ and ⁵/₁₁ in ascending order?
   1. ¹/_3, ⁴/₇, ²/₉,⁵/₁₁
   2. ¹/_3, ⁵/₁₁, ²/₉, ⁴/₇
   3. ⁵/₁₁,¹/_3, ⁴/₇, ²/₇
   4. ²/₉, ¹/₃, ⁵/₁₁,⁴/₇
10. The area of a right angle is 56.1cm². If the height is 5.6cm, what is the base of the triangle?
    1. 17cm
    2. 19cm
    3. 28cm
    4. 27cm
11. The figure below represents a cylindrical tank of water.
    
    What is the total surface area of the tank?
    
    
    1. 76.61m²
    2. 63.07m²
    3. 71.61m²
    4. 30.03m²
12. What is the value of; ½x + 27x = 36
    1. 1¹⁷/55
    2. 2¹⁷/₅₅
    3. 1⁷/₉
    4. 1¹/₃
13. The temperature of an ice cube was -27°C. It was heated at the rate of 4°C per minute for 9 minutes. What was the final temperature after the 9th minute?
    1. 63°C
    2. 9°C
    3. 36°C
    4. 40°C
14. The Hillux company hired 18 men to paint a section of a building in 4 days. If six men failed to attend the work from the start of the work, how many more days did the rest have to complete the work?
    1. 6
    2. 8
    3. 2
    4. 4
15. A shopkeeper stored sugar in 2kg containers. 1kg containers and ½kg containers. If he had 500kg of sugar and the 2kg containers and 1kg container were 150 and 100 respectively. How many containers of ½kg did the shopkeeper store?
    1. 100
    2. 400
    3. 200
    4. 50
16. In the figure below line PQ is parallel to line RS. Lines AB and DC are transversal.
    
    
    If angle S is 70° what is the value of angle n?
    1. 50°
    2. 70°
    3. 110°
    4. 105°
17. A square prism has a total surface area of 432cm². What is the area of its base?
    1. 12cm²
    2. 132cm²
    3. 288cm²
    4. 144cm²
18. What is the next number in the sequence below?
    0.3, 2.3, 5.3, 10.3, 17.3,_____
    1. 22.9
    2. 26.3
    3. 28.3
    4. 33.3
19. What is the value of a² + c ;
                                     a + b
    when a = b − 1, b = c + 3, c = 2?
    1. 2
    2. 3½
    3. 3
    4. 4½
20. Mary bought the following items from a shop:
    2½kg of sugar @sh 120
    3½kg of rice @ sh 110.
    2-2kg packets of maize flour @sh 100
    750g of tea leaves @sh 160 per kg
    4 bars of soap for sh 320
    She paid with 2-one thousand shilling notes. How much balance did she obtain?
    1. sh 1005
    2. sh 1325
    3. sh 585
    4. sh 675
       
21. In the figure below lines RF is parallel to line GH. GI and IH are equal sides and angel GIH is 50°
    
    What is the value of FEG?
    1. 115°
    2. 65°
    3. 50°
    4. 130°
22. Maina travelled from Usenge to Bondo at a speed of 72km/h for 2½ hours. He rested for 30 minutes and continued his journey to Kisumu at a speed of 60km/h to cover the distance of 120. What was the average speed for the whole journey?
    1. 132km/h
    2. 73¹/₃ km/h
    3. 66km/h
    4. 60km/h
23. A section of a road 27km long is represented on a map by 3cm. What is the scale used?
    1. 1:900
    2. 1:9000
    3. 1:90000
    4. 1:900000
24. In a meeting there were 403 more women than men. There were 207 more children than women. If there were 117 men in the meeting, how many children were there?
    1. 324
    2. 610
    3. 727
    4. 520
25. What is the value of 0.27 × 0.36 × 54 ? 
                                     0.09 × 0.4 × 6.3
    1. 23.1
    2. 2.31
    3. 231
    4. 0.231
26. The ratio of boys to girls in a school is 2:3. There are 240 more girls than boys. How many pupils are in that school altogether?
    1. 720
    2. 1200
    3. 840
    4. 760
27. The pie chart below represents how Mwende spends her monthly salary.
    
    If Mwende's salary is sh 10800 per month, how much does she spend on food than savings?
    1. sh 3900
    2. sh 7200
    3. sh 6000
    4. sh 1500
28. The marked price of a suit in VISCOT shop is sh 3800. Otieno bought the suit for sh 3496. What was the percentage discount he was allowed?
    
    1. 8%
    2. 2½%
    3. 5%
    4. 12%
29. Mwangi deposited a certain amount of money in a financial institution that paid a simple interest rate of 2% p.a. After 5 years, Mwangi earned an interest of sh 4500. How much money did he deposit?
    1. sh 70000
    2. sh 65000
    3. sh 55000
    4. sh 45000
30. The diagram below represents a rectangular solid with a cylindrical hole of radius 2.1cm drilled through.
    
    What is the volume of the solid?
    1. 150cm³
    2. 84cm³
    3. 21.4cm²
    4. 80.7cm²
31. What is the value of; 29 −14 +96 ÷ 4 x 48?
    1. 9
    2. 5
    3. ⁷/₁₂
    4. 1167
32. A lady attended a business seminar from the morning of 28th December 2015 to the morning of 4th March 2016. How many days did she spend at the seminar?
    1. 68
    2. 66
    3. 67
    4. 69
33. A room measuring 8m long by 6m wide was fitted with square tiles whose area is 400cm2 each. How many tiles were used along the length of the room?
    1. 20
    2. 40
    3. 30
    4. 1200
34. What is the simplest form of the expression below?
    ³/₅(p − 5q) + ²/₃(3p + 5q)
    
    1. 2p − q
    2. ³/₅p + q
    3. 1⁴/₅p − 5q
    4. 1⁴/₅p − q
35. Draw triangle XYZ where X=6cm. Angle XYZ=60° and angle YZX=70°. Draw a circle touching its sides: Measure the length of the diameter.
    
    
    
    
    1. 6.4cm
    2. 3.2cm
    3. 3.6cm
    4. 6.8cm
36. In a class of 45 pupils, each pupil took two-2d1 packets of milk twice a week. How many litres of milk did the pupils take in two weeks?
    1. 360L
    2. 720L
    3. 36L
    4. 72l
37. The area of the Trapezium ABCD below is 112cm²
    
    
    What is the lenght of line BC?
    1. 10cm
    2. 8cm
    3. 6cm
    4. 15cm
38. Three boys contributed some money to buy a textbook. Onyango contributed a quarter. Rono contributed a third and Waga a sixth of the price. They found that sh 90 were still needed to buy the book. What was the price of the book?
    1. sh 360
    2. sh 270
    3. sh 210
    4. sh 120
39. The mean mass of eight pupils is 37.5kg. Six of the pupils weigh 30kg, 39kg, 34kg, 35kg, 40kg and 38kg. If the remaining two pupils had equal masses, what is the median mass of the pupils?
    1. 38kg
    2. 33.5kg
    3. 38.5kg
    4. 45kg
40. The figure below is a right angled triangle BAC. The area of the triangle is 84cm².
    
    What is the length of line AC?
    1. 31cm
    2. 25cm
    3. 24cm
    4. 12cm
41. The marked price of a bed is sh 12000. If it is bought on cash, a 10% discount is offered. If bought on hire purchase price, a deposit of sh 5000 is paid and the remaining amount is paid in 11 equal monthly instalments of sh 900. How much more does one pay on hire purchase than cash?
    1. sh 4100
    2. sh 2900
    3. sh 5600
    4. sh 3900
42. What is the value of √12.96 − (0.9)² + 4?
    1. 18.79
    2. 20.14
    3. 13.21
    4. 2.47
43. The fare from Kisumu to Nairobi was sh 1500. It was increased by 10% and then later decreased by 20%. What is the current fare from Kisumu to Nairobi?
    1. sh 1650
    2. sh 1950
    3. sh 1980
    4. sh 1320
44. The table below shows the arrival and departure time of a plane in different towns.
    

    Towns	Arrival time	Depature time
    H		0830hrs
    I	0845hrs	0850hrs
    J	0920hrs	0935hrs
    K	1035hrs	1040hrs
    L	1055hrs	1105hrs
    M	1110hrs	1125hrs

    
    How long did the plane take from town J to M?
    1. 1hr 50min
    2. 1hr 30min
    3. 1hr 35min
    4. 2hrs 5min
45. Complete the trapezium below ABCD. Such that line AB is parallel to DC. Angle DAB = 90°, line AD = line DC = 4cm. Measure length of line BC.
    
    
    
    1. 3cm
    2. 4.2cm
    3. 5cm
    4. 5.7cm
46. A saleslady earns sh 9600 per month. She is also offered a 3% commission on the value of goods she sells above sh 100000. In a certain month, she sold goods worth sh 450000. How much money in total did she earn that month?
    1. sh 10500
    2. sh 13500
    3. sh 23100
    4. sh 20100
47. What is the area of the shaded part in the figure below?
    
    1. 297m²
    2. 147m²
    3. 157m²
    4. 307m²
48. A trader bought 600 pineapples at sh 120 for every five pineapples. During transportation, 60 pineapples got spoilt. He sold the remaining at sh 150 for every 6 pineapples. What percentage loss did he make?
    1. 12½%
    2. 5%
    3. 6¼%
    4. 2½%
49. A square plot of side 26m long has a gate of 6m. It is fenced using four strands of wire. What was the total length of the wire used?
    1. 416m
    2. 360m
    3. 392m
    4. 410m
50. The graph below shows how Peter and James travelld from town K town J.
    
    How many more kilometres had Peter to cover when James arrived?
    1. 40km
    2. 26km
    3. 20km
    4. 32km

MARKING SCHEME

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