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

1. Write six million six hundred and nine thousand nine hundred and nine and nine hundredths in numerals?
   1. 6609609.09
   2. 6609909.09
   3. 6660999.9
   4. 6609909.009
2. What is the place value of digit 2 in the product of the value of digit 4 multiplied by the total value of digit 3 in the number 57438?
   1. Ones
   2. Thousands
   3. Tens
   4. Hundreds
3. What is the next number in the sequence below?
   113, 94, 77, 64, 53, _______________?
   1. 46
   2. 62
   3. 44
   4. 40
4. What is the value of:
   24 ÷ 3 + 4 x 5 − 8 ÷ 4 x 10 + 1?
   1. 7
   2. 9
   3. 41
   4. 131
5. In a shop 90kg of sugar were repacked into 200g packets and 500g packets. If there were 250 packets of 200g each, how many packets were there altogether?
   1. 80 packets
   2. 230 packets
   3. 330 packets
   4. 100 packets
6. Which of the following measurements can be used to draw a right angle triangle?
   1. 5cm, 12 cm, 15cm
   2. 3cm. 6 cm, 7cm
   3. 9cm, 16cm, 25 cm
   4. 7cm, 24cm, 25cm
7. The base of a rectangular water tank measures 2.2m by 1.5m. Its height is 3m. How much water can it hold when half full?
   1. 9900 L
   2. 4500 L
   3. 9000 L
   4. 4950 L
8. Find the area of the figure below.
   
   1. 490m²
   2. 336m²
   3. 154m²
   4. 254m²
9. The sum of three consecutive numbers is 69. Which is the largest number?
   1. 20
   2. 22
   3. 21
   4. 19
10. Calculate the volume of an open tin whose diameter is 1.4m and its height is 2m.
    1. 30800
    2. 308
    3. 3080000
    4. 308000
11. The area of a protractor is 308cm². What is the perimeter of the protractor? (π =n ²²/₇)
    1. 44
    2. 28
    3. 72
    4. 88
12. A meeting was attended by 3670 people. The number of men was twice that of children and 30 less than that of women. How many women attended the meeting?
    1. 1245
    2. 2586
    3. 3149
    4. 1486
13. The area of a square carpet is 4m². Four such carpets completely covers a square room. Calculate the perimeter of the room.
    1. 8m
    2. 12m
    3. 16m
    4. 24m
14. The area of the figure below is 104 cm².
    
    What is the length of line AB?
    1. 20cm
    2. 204cm
    3. 10cm
    4. 12cm
15. What is the value of:
    2 − 1¼ of 7¹/₅ ÷ 45?
    1. 3
    2. 1¹/₅ 
    3. 1⁴/₅ 
    4. 3⁴/₅ 
16. The marked price of a shirt is sh. 500. Wanyama was given a 15% discount when he bought it. He then sold it making a profit of 10% profit. For how much did he sell the shirt?
    1. Sh. 475
    2. Sh. 425
    3. Sh. 625
    4. Sh. 467.50
17. A society had 3.6 ha of land. 0.6 ha of the land was set for construction of roads. The rest was subdivided into equal plots each measuring 60m by 50m. How many plots were obtained?
    1. 50
    2. 12
    3. 10
    4. 5
18. A man shared his pieces of land between his two sons such that the elder son got ³/₅ of the land. What is the ratio of the land belonging to the younger son to that of the older son?
    1. 3:5
    2. 2:3
    3. 3:8
    4. 5:3
19. The hire purchase of a T.V set is 40% more than the cash price. The cash price is sh. 20000. Joy paid sh. 2100 as a monthly installment for 10 months. How much was the deposit paid?
    1. Sh. 8000
    2. Sh. 13000
    3. Sh. 7000
    4. Sh. 100020.
20. What is the value of: 1.5 + 0.9 of 2.5 − 1.42 ?
                                                   0.4
    1. 5.824
    2. 5.85
    3. 5.88
    4. 10. 85
21. What is the size of the reflex angle XYZ?
    
    1. 318°
    2. 218°
    3. 42°
    4. 324°
22. The temperature of frozen ice was −45°c. It was heated until the temperature rose by 68°c. What was the final temperature of water?
    1. 53°c
    2. 23°c
    3. 113°c
    4. −53°c
23. Nyoro left his home for Nyeri at 0815 hrs. He arrived at Nyeri at 1045hrs. If the distance between his home and Nyeri was 120km. Calculate the average speed.
    1. 30km/h
    2. 48km/h
    3. 60km/h
    4. 300km/h
24. The floor of a room measuring 6m by 4.5m by 3m high is completely covered by square tiles each of side 30cm. How many tiles are there?
    1. 300
    2. 30
    3. 640
    4. 280
25. Marion had sh. 40000. She deposited the whole amount in a financial institution that pays simple interest at the rate of 4% p. a. She withdrew all her interest after 28 months. How much money did she withdraw?
    1. Sh. 42400
    2. Sh. 2400
    3. Sh. 36400
    4. Sh. 4200
26. Round off 799.9875 to the nearest tenths. 
    1. 800
    2. 799.9
    3. 800.0
    4. 790.9
27. A train took 20 sec to pass through a tunnel. If the length of the tunnel was 0.6km. What was its speed in meters per second?
    1. 15m/s
    2. 30 m/s
    3. 25 m/s
    4. 45 m/s
28. In Sunrise Academy, pupils were asked to choose their favorite food among mukimo, githeri and chips. The information was represented in a pie chart as show below.
    
    If 280 pupils like chips, how many more pupils like mukimo than githeri?
    1. 120
    2. 40
    3. 200
    4. 80
29. 12 men can do a piece of work in 20 days. After working for 4 days, 4 more men were employed. How many less days will the work take?
    1. 12
    2. 8
    3. 16
    4. 4
30. Constant a triangle WXY with XY = 7cm,WY = 8cm and WX = 6cm. Draw the angle bisectors of angle YWX and angle WXY to meet at P. Construct a circle touching the edges of the triangle. Measure its radius.
    1. 4cm
    2. 6.4cm
    3. 2cm
    4. 3.2cm
31. 3.2 cm on a map represents an actual length of 9.6km on the actual ground. What is the scale used?
    1. 1:3000000
    2. 1:3000
    3. 1:300000
    4. 1:30000000
32. In the triangle ABC below, BD = BC. Angle ABC = 50° and angle DCA = 25°. Line BDA is a straight line. Find the size of angle CAB.
    
    1. 30°
    2. 65°
    3. 50°
    4. 40°
33. A rectangular field has an area of 0.6 ha. If the length measures 120m, how long is its diagonals?
    1. 130m
    2. 13m
    3. 50m
    4. 24m
34. Solve the value of p
    1⁄2 (12p − 6) − 2p + 12 = 30
    1. 20
    2. 10
    3. 16
    4. 8
35. Oliech bought the following items from a wholesale shop.
    2kg of rice @sh 120
    2-2 kg packets of wheat flour @sh 140
    1 kg of sugar @sh 124
    2 packets of leaves for sh. 120.
    Oliech paid using two notes of sh 500. How much balance did he receive?
    1. Sh 824
    2. Sh 124
    3. Sh 114
    4. Sh 176
36. Tap A takes 6 minutes to fill a tank while tap B takes 8 min to empty the same tank. If both taps are opened at the same time, how long will they take for the tank to be full?
    1. 12min
    2. 1 min
    3. 14min
    4. 24 min
37. Three pupils gave out some money to buy a textbook. Mary gave sh 20 more than Atieno white Peter gave twice as much as Atieno. If Mary gave sh m, which of the following expressions represents the total amount given by the three pupils?
    1. 4m +60
    2. 4m.+ 20
    3. 4m − 60
    4. 4m − 40
38. The mass of 8 pupils were recorded as
    35kg, 32kg, 28kg, 25kg, 38kg, 23kg, 40kg and 37kg.
    What was the median mass?
    1. 30
    2. 33¹/₂ 
    3. 33¹/₄ 
    4. 32¹/₅ 
39. What is the value of:
    0.51 × 3.25
           1.7
    1. 0.975
    2. 975
    3. 97.5
    4. 9.75
40. Jelimo sold an item for sh. 144 making a loss of 10% .At what price must he sell it to make a profit of 20% ?
    1. Sh 160
    2. Sh192
    3. Sh 172.80
    4. Sh 158.4041.
41. Work out:
     ÷ ¹/₃ 
    
    1. ¹/₆ 
    2. 7
    3. ¹/₉ 
    4. 2¹/₃ 
42. The price of a coat was reduced by 800 shillings. If this represents 20% of the marked price, what was the marked price of the coat?
    1. Sh. 80
    2. Sh. 1600
    3. Sh. 4000
    4. Sh. 1200
43. A rectangular container measures 80cm by ⁴/₅ m by 0.5m. Calculate it's capacity when half full.
    1. 160 L
    2. 320 L
    3. 200L
    4. 400 L
44. Kimani slept fir 9hr 45 min. He woke up at 0500 hrs: What had he slept?
    1. 2.45 pm 
    2. 7.15 pm
    3. 7.55 pm
    4. 7.15 am
45. Below are properties of a quadrilateral. 
    1. Interior angles add up to 360°
    2. Has two pairs of parallel lines.
    3. Diagonals are equal and meet at a right angle.
       What figure is described above.
       1. Rhombus
       2. Square
       3. Trapezium
       4. Rectangle
46. The perimeter of the isosceles triangle UVW shown below is 50cm. Find its area.
    
    1. 60cm²
    2. 120cm²
    3. 96cm²
    4. 136cm²
47. A semi-circular plot of land of diameter 36m was fenced round. Poles were erected all round at interval of 4m. How
    many poles were used?
    1. 37
    2. 35
    3. 38
    4. 36
48. What is the value of 0.294 correct to 2 decimal places
    1. 0.73
    2. 0.72
    3. 7.25
    4. 0.07
49. Given that Ty = 16.5 × 0.2
                                     4
    and Y = 8.25, what is T?
    1. 0.1
    2. 0.01
    3. 1
    4. 10
50. The graph below shows the journey followed by a cyclist travelling from town A to B.
    
    Calculate his average speed for the whole journey.
    1. 64 km/h
    2. 8km/h
    3. 16km/h
    4. 12km/h

MARKING SCHEME

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