Mathematics Questions and Answers - Class 8 Mid Term Exams Term 2 2023 Set 1

QUESTIONS

1. Write 2500000.02 in words.
   1. Twenty five million and two tenths
   2. Two million five hundred thousand and two tenths
   3. Two million five hundred thousand and two hundredths
   4. Twenty five millions and two hundredths
2. What is the total value of digit 6 in the number 1657832
   1. sixty thousand
   2. six hundred thousand
   3. 60000
   4. 6000
3. What the place value of digit 5 after working out 25 ÷ 8
   1. Thousandths
   2. Hundredths
   3. Tenths
   4. Ones
4. What is the difference in the value between the LCM of 18 and 24 and the GCD of GCD of 36 and 48
   1. 72
   2. 64
   3. 84
   4. 60
5. A butcher delivered meat to Mirema school from 20^th December 2019 to 15^th March 2020. How many days did he deliver the meat?
   1. 86
   2. 87
   3. 85
   4. 88
6. The figure below represents Mwende's piece of land.
   
   60 m
   80 m
   What is its area in square metres?
   Use π = 3.14.
   1. 3925 m²
   2. 6325 m²
   3. 2400 m²
   4. 8725 m²
7. A fruit seller had some oranges for sale. He gave out 12 of them to his friends. He packed the rest in piles of 5. He later found that he required 2 more oranges order to have 15 piles. How many oranges in order to have 15 piles. How many oranges did he have at the beginning?
   1. 75
   2. 85
   3. 73
   4. 61
8. Work out
   
   
   1. 6¹/₄
   2. 6³/₄ 
   3. 8³/₄ 
   4. 8¹/₂
9. Which one of the following number patterns increases by one thousand only?
   1. 89275, 88275, 87275, 86257
   2. 25897, 25997, 26097, 26197
   3. 58297, 58397, 58497, 58597
   4. 79582, 80585, 81582, 82582
10. What is the value of
    ³/₄ of (12 x 54 ÷ 6) ÷  4 + 7¹/₄
    1. 20¹/₄
    2. 7¹/₄
    3. 27¹/₂
    4. 27¹/₄
11. A meeting was attended by men, women and youths. A third of the attendants were youths. Two fifth were woman and the rest were men. If there were 64 men how many people were there altogether?
    1. 16 
    2. 240
    3. 256
    4. 280
12. A man deposited sh 16000 in a bank. After 4 years, he withdrew sh 3000 which was the interest that remained after the bank had deducted sh 200 for service charge. At what rate was the bank giving the simple interest?
    1. 10%
    2. 7½%
    3. 5%
    4. 2½%
13. The figure below represents the design of a window. It consists of two circular metal rings each of diameter of 35 cm and a rectangular metal frame. The two circular rings are connected to each other and to the frame by metal rods each measuring 10 cm. Calculate the total length of the metal used to make the window?
    
    1. 310 cm
    2. 380 cm
    3. 450 cm
    4. 600 cm
14. The height of an isosceles triangle is 12cm. Each of the two equals sides measures 13cm. What is the area of the triangle?
    1. 120cm²
    2. 78cm²
    3. 60cm²
    4. 156cm²
15. What is the value of
    2.4 x 3.2 x 1.5
    7.2 ÷ 0.9 × 0.8
    1. 18
    2. 1.8
    3. 36⁴/₉
    4. 36.4
16. In the year 2020, a farmer harvested 560 bags of maize. This was 20% decreased from the number of bags of maize harvested the previous year. How many bags of maize did the farmer harvest in the two years?
    1. 700
    2. 1400
    3. 1120
    4. 1260
17. Nelly is twice as old as her son. If Nelly's age is represented by (x+12) years, what will be the sum of their ages in 3 years to come?
    1. 1½x + 12
    2. 1½x + 21
    3. 1½x + 24
    4. 1½x + 15
18. What is ¹/₃(6x − 12p) + ¼(16x + 8p) in its simplified form.
    1. 6x − 2p
    2. 6x + 2p
    3. 6x + 6p
    4. 6x − 6p
19. A trader sold an item for sh. 720 making a loss of 20%. For how much would he have sold it to make a profit of 10%?
    1. sh. 900
    2. sh. 990
    3. sh. 950
    4. sh. 1000
20. What is the surface area of the figure drawn below.
    
    1.  1360 cm²
    2.  1200 cm²
    3. 800 cm²
    4. 880 cm²
21. If p=7, t=5 and x=3. What is the value of 3(3p − 2t)+(tx² − 2p)
    1. 64
    2. 128
    3. 211
    4. 244
22. What is the value of y in the equation
    2(2y+2) − 2 = 6
         3
    1. 5
    2. 3½
    3. 5½
    4. 6½
23. A customer paid sh 640 for a jacket after receiv] a discount of 20%. How much more would he have paid, had he received a discount of 10%?
    1. sh. 240
    2. sh. 160
    3. sh. 800
    4. sh. 80
24. A plane arrived at Nairobi on Monday at 0115 hrs. The journey from Lagos took 8 hours 30 minutes. On which day and time had the plane taken off from Lagos.
    1. Monday 4.45 p.m
    2. Monday 4.45 a.m
    3. Sunday 4.45 p.m
    4. Sunday 4.45 a.m
25. An empty carton weighs 1.25 kg. It was packed with 15 text books each weighing 225g. What would be the total mass of 20 such cartons containing 15 such textbooks?
    1. 67.5 kg
    2. 92.5 kg
    3. 68.75 kg
    4. 4.625 kg
26. Solve the value of K in the equation
    2(3k − 7) + 20 = 3(k+12)
    1. 12
    2. 6
    3. 5
    4. 10
27. The number of sheep and goats in a farm are in the ratio 2:5 respectively. There are 60 more goats than sheep. How many sheep are there in the farm?
    1. 40
    2. 150
    3. 24
    4. 36.
28. Below is a right angle triangle drawn using the scale 1:5000
    
    What is the distance round the triangle in metres?
    1. 60000
    2. 6000
    3. 600
    4. 60
29. 24 workers were hired to complete constructing a wall in 15 days. Six of them never turned up right from the first day. How many more days did the ones who turned up take to construct the wall?
    1. 20
    2. 5
    3. 4
    4. 2
30. A woman bought the following items from a supermarket.
    • 2 rolls of tissue papers @ sh. 45
    • 500 ml packet of milk at sh 120 per litres
    • 3 loaves of bread each sh 70
    • 2 kg packet of maize flour at sh 140 per packet
    • 1½ kg of rice at sh. 120 per kilogram.
      She paid for the items using two- sh 500 notes. What was her balance?
      1. sh. 680
      2. sh. 180
      3. sh. 320
      4. sh. 380
31. The length and width of a rectangular tank measures 2m by 1.5m. It was half full of water. If it contained 6000 litres, what is the height of the tank?
    1. 2m
    2. 5m
    3. 3m
    4. 4m
32. The mean mass of 8 boxes is 10kg. Seven of them weighs, 12kg 10kg 11kg 8kg 12kg 10kg and 7kg. What is the sum of the mode and the median mass of the 8 boxes?
    1. 20kg
    2. 21kg
    3. 19kg
    4. 22kg
33. Below is a pie chart representing the number of text books given out to Grade 7 learners.
    
    If the learners received 49 pre technical books, how many more Art than Mathematics books did they received?
    1. 7
    2. 14
    3. 21
    4. 28
34. A motorist left town A at 10:30 a.m. After travelling for 2 hours at a speed of 60 km per hour, he stopped to for 30 minutes to fuel his car. He then proceeded with the journey and arrived at his destination at 2:30 p.m if he covered a distance of 240 km, at what speed did he travel the second part of his journey?
    1. 120 km/h
    2. 30 km/h
    3. 60 km/h
    4. 80 km/h
35. A man borrowed sh 50000 from a bank which charged compound interest at the rate of 10% p.a. He paid back the money in two years. How much interest did he pay back?
    1. sh. 500
    2. sh. 10000
    3. sh. 10500
    4. sh. 60500
36. The figure below represents Mboni's cylindrical water tank. It was three-quarter full of water.
    
    How many more litres of water were required to fill the tank?
    1. 13220L
    2. 15400L
    3. 7700L
    4. 30800L
37. Construct a rhombus whose sides measures 7 cm and an obtuse angle of 130°. Draw the diagonals. What is the length of the shorter diagonal?
    1. 12.7 cm
    2. 5.9 cm
    3. 9.5 cm
    4. 8.2 cm
38. A dairy cow produces 25 litres of milk every day. A fifth of it is fed to the calf. Four litres are consumed by the family. The farmer sells the remaining milk to a local hotel at a rate of sh 55 per litre. How much money did he get from the amount of milk sold in the months of January and February year 2020.
    1. sh. 944
    2. sh. 51920
    3. sh. 81125
    4. sh. 52800
39. In the figure below, line AB is parallel to EC. Line CF = FD, Angle ABC = 62° and Angle CAF = 30° 
    
    What is the size of angle ACF
    1. 26°
    2. 68°
    3. 62°
    4. 84°
40. The marked price of a generator is sh. 15000. Amina bought it after receiving a discount of 10%. Kelly bought the same type of generator on hire purchase terms. He paid a deposit of sh. 9000 followed by 8 equal monthly instalment of sh 1250 per month. How much more did Kelly pay for the generator than Amina?
    1. sh. 5500
    2. sh. 7000
    3. sh. 1500
    4. sh. 4000
41. How many more cubes would be required to complete this stack
    
    1. 86 
    2. 100
    3. 72
    4. 88
42. Cylindrical tins with a radius of 5cm and a height of 12cm. They are packed in upright position in a carton measuring 50 cm by 40 cm and a height of 48cm. How many such tins can fill the carton?
    1. 20
    2. 60
    3. 80
    4. 40
43. The area of a rectangle is 540 cm2. Its length measures 36 cm. What is the diagonal of the rectangle in centimetre.
    1. 13 cm
    2. 26 cm
    3. 39 cm
    4. 48 cm
44. A fish Pond was fenced round using poles 6m apart. If a total of 36 poles were used calculate the distance round the fish Pond.
    1. 216 m
    2. 210 m
    3. 6 m
    4. 180 m
45. In the figure below ABDE is a parallelogram. Line AD=AC Angle BEF = 100°
    
    What is the size of angle CAB
    1. 100°
    2. 130°
    3. 150°
    4. 140°
46. Meliza works as a salesgirl for a certain company. She is paid a commission of 5% on value of goods sold above sh 70000. If her basic salary is sh 11000, how much did she earn in a month which she sold goods worth sh 200000?
    1. sh. 6500
    2. sh. 10000
    3. sh. 17500
    4. sh. 21000
47. Which one of the following nets can be folded to form a rectangular prism.
    
48. The table below shows the postal charges of small packets.
    

    Mass of packet	African countries	European countries	North and south America
    Not over 50g	100	160	200
    Not over 100g	150	250	330
    Not over 250g	200	360	400
    Not over 500g	260	480	550
    Not over 1kg	330	600	720
    Not over 2kg	400	750	900
    Each additional 1kg up to 5kg	200	250	300

    Kimberly sent a small packet weighing 1.5 kg to his friend in Britain (Europe) and another one weighing 3kg to his wife in North America. How much was he charged at the post office?
    1. sh. 1500
    2. sh. 1650
    3. sh. 1950
    4. sh. 1620
49. A rhombus measures 13 cm each side one of the diagonals measures 24 cm. What is the measure of the other diagonal?
    1. 5 cm
    2. 10 cm
    3. 12 cm
    4. 15 cm
50. A team of 62 players were chosen to represent the country in a regional ball game event. There were 22 foot ball players, 8 players in Volley ball, 10 players in Netball and 4 players in Hockey. The rest played Handball. The information was represented on a bar graph. Which one of the bar graph correctly represents the above information
    

MARKING SCHEME

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