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

QUESTIONS

1. Which one of the following is 1100000.002 written in words? 
   1. One million, one hundred thousand and two hundredths.
   2. One million one hundred thousand point zero zero two
   3. Eleven million one hundred thousand and two thousandths.
   4. One million, one hundred thousand and two thousandths
2. What is the place value of digit 8 after working out 0.256÷32?
   1. Thousandths
   2. 8.192
   3. 0.008
   4. Hundredths 
3. What is the value of 21(24 − 17) + 7?
                                           7
   1. 21
   2. 28
   3. 22
   4. 5
4. What is the value ³/₄ − ¹/₂ + ( ³/₄ − ²/₅) ÷ 2⁴/₅?
   1. ¹/₈ 
   2. ³/₁₄
   3. ³/₈
   4. ⁹⁹/₂₀₀
5. What is the quotient of the least common multiple of 36 and 48 and the highest common factor of 27 and 18?
   1. 1296
   2. 16
   3. 15
   4. 54
6. A farmer had 320 goats. He sold ³/₈ of the goats to a butcher. He also sold ²/₅ of the remaining goats to other farmers and he
   remained with the rest. How many less goats did he remain with?
   1. 80
   2. 72
   3. 120
   4. 40
7. In one week a farmer milks an average of 8 litres of milk from every dairy goat in his farm. In six weeks, he milked 432 litres. How many dairy goats are there in the farm?
   1. 72
   2. 54
   3. 7
   4. 9
8. What is the value of 4 − 2.5 x 0.6 + 0.25?
                                               0.5
   1. 7.5
   2. 3.75
   3. 5.5
   4. 11.5
9. A tank had 100001 of water. A family used 12½% of the water in two weeks. How much more water remained than it was used?
   1. 1250L
   2. 7500L
   3. 8750L
   4. 7000L
10. A cultural show was attended by 1204 male adults, 2864 more female adults than males and 6437 children. How many more children than adults attended the show?
    1. 5272
    2. 2369
    3. 10505
    4. 1165
11. Achuko had x pumpkins. He sold 0 6 of the pumpkin. He gave out 0.5 of the remainder to children's home and remained with the rest. If he was left with 240 pumpkins, what was the total number of pumpkins before?
    1. 1200
    2. 1440
    3. 960
    4. 1920 
12. What is the next number in the pattern below?
    77³/₄, 54³/₄, 35³/₄, 18³/₄, ______________
    1. 7¾
    2. 13¾
    3. 5¾
    4. 6¾
13. What is 4999 rounded off to the nearest ten thousands?
    1. 5000
    2. 0
    3. 10000
    4. 4000
14. The length of the diagonals of a rhombus WXYZ are WY= 10cm and XZ = 24cm.
    
    What is the perimeter of the rhombus?
    1. 68cm
    2. 104cm
    3. 52cm
    4. 240cm
15. The area of trapezium PQRS below is 120cm². RQ 16cm and SP = 24cm.
    
    What is the length of side PQ?
    1. 10cm
    2. 6cm
    3. 8cm
    4. 5cm
16. A cylindrical container has a circumference of 44cm and a height of 4m. How much water in litres can it hold when full?
    1. 246.4L
    2. 61600L
    3. 616L
    4. 61.6L
17. An encyclopedia book has 455 sheets of paper and a cover. Each sheet of paper has a mass of 5 grams and the cover has mass of 15g. What is the mass of the book in kilo grams?
    1. 2.275
    2. 0.229
    3. 2.29
    4. 0.227 
18. A watch gains 5 seconds every hour. It was set correct on Monday at 8.15 am. What time was it showing on Friday the same
    week at 8.15 am?
    1. 8.07 am
    2. 8.23 am
    3. 8.25 am
    4. 8.05 m
19. What is the area of the shaded part in the figure below?
    
    
    1. 21cm²
    2. 98cm²
    3. 77cm²
    4. 175cm² 
20. The figure below shows a wooden solid. What is the surface area of the solid?
    (Usе л = ²²/₇ )
    
    
    1. 770cm²
    2. 357cm²
    3. 654cm²
    4. 577cm²
21. Rono cycled a distance of 9km from home to town. He then cycled back home. The whole journey took 120 minutes. What was the average speed for the whole journey in m/s?
    1. 2½ 
    2. 9
    3. 5
    4. 15
22. The length of a rectangular piece of land is 120m. Its diagonal is 130m long. The land was fenced using 4 strands of barbed wire. What was the total length of the wire?
    1. 2000m
    2. 680m
    3. 1360m
    4. 1440m
23. Muthoni paid sh. 6300 for a machine after she was allowed a discount of 10%. How much more would she have paid had she been allowed a discount of 5 %?
    1. sh. 7000
    2. sh. 350
    3. sh. 6650
    4. sh. 650
24. In the figure below line AB is parallel to CD. Line EC = ED line CF = FD, angle CED = 96° and angle ECH = 97°.
    
    What is the size of angle GFH?
    1. 55°
    2. 110°
    3. 84°
    4. 70°
25. Karim bought the following items from a supermarket
    2¼ kg of maize flour @sh 80 per kg
    Three loaves of bread for sh. 180
    4 packets of milk @sh. 55
    Two kilograms of beans @sh. 100
    She paid for all the items using a sh. 1000 note. How much more money should she give to the cashier to be given a balance of sh. 250?
    1. sh. 220
    2. sh. 80
    3. sh. 30
    4. sh. 50
26. The figure below is a prism with a triangular cross section.
    
    What is the product of faces, vertices and edges of the prism?
    1. 20
    2. 270
    3. 240
    4. 216
27. A sales agent is paid a basic salary of sh. 26000 plus a 7% commission on value of goods sold above sh. 60000. In one month she earned a total of sh. 47000. What was the value of goods sold?
    1. sh. 300000
    2. sh. 360000
    3. sh. 240000
    4. sh. 30200
28. The following are properties of quadrilaterals:
    1. Diagonals are unequal
    2. Some angels are equal
    3. Diagonals bisect each other but not perpendicularly.
    4. Interior angles add upto 360°
    5. Diagonals bisect the angles
       Which pair of properties are true about a rectangle and a parallelogram?
       1. (iii), (iv)
       2. (ii), (v)
       3. (iii), (v)
       4. (i), (iv)
29. A trader borrowed sh. 100000 from a bank that charged a simple interest at a rate of 10% p.a. How much did he pay back after 18 months?
    1. sh 15000
    2. sh. 180000
    3. sh. 115000
    4. sh. 280000
30. Myola bought 200 lemons each sh. 4. She paid sh. 200 for transport to the market. She sold the lemons making a profit of 40%. What was the selling price of each lemon?
    1. Sh. 5
    2. sh. 6
    3. sh. 8
    4. sh. 7
31. The perimeter of an Isosceles triangle below is 50cm. It has a base of 16cm.
    
    What is its area?
    1. 400cm²
    2. 60cm²
    3. 120cm²
    4. 200cm²
32. The marked price of a dry cleaner is sh. 40,000. The cash price of the same machine is 10% less than the marked price. The hire purchase price is 20% more than the marked price. Makos bought the machine on hire purchase. How much more than cash price did he pay?
    1. sh. 12000
    2. sh. 36000
    3. sh. 4000
    4. sh. 48000 
33. In a shop there are radios, televisions and laptops. The number of radios is two times the number of televisions. The number of laptops is eight less than that of televisions. If the number of televisions is t, how many electronics are there altogether?
    
    1. t + 10
    2. 2t − 6
    3. 5t − 8
    4. 4t − 8
34. The mean of 8 numbers is 4½. Seven of these numbers are 3, 5, 2, 6, 0, 4 and 8. What is the median of the 8 numbers?
    1. 8
    2. 5
    3. 4.5
    4. 36
35. The pie chart below shows how Benson utilizes his 72 hectares of land.
    
    How many more hectares are under maize than passion fruits?
    1. 24 ha
    2. 6 ha
    3. 18 ha
    4. 42 ha
36. The scale used in a map is 1:1000. What is actual area of a piece of land represented by the figure below in ares?
    
    1. 7.5
    2. 0.06
    3. 600
    4. 6
37. The table below shows the number of pupils absent from a class of 40 pupils in one week.
    

    	Mon	Tue	Wed	Thur	Fri
    Boys	3	1	2	3	0
    Girls	2	2	3	3	1

    What was the class total attendance in the whole week?
    1. 180
    2. 18
    3. 179
    4. 200
38. In a farm the ratio of goats to sheep is 4:3. the ratio of sheep to cows is 2:1. There are 24 cows. How many goats are there?
    1. 48
    2. 112
    3. 64
    4. 136
39. Four tractors can plough a piece of land in 18 days. How many less days can six such tractors take to plough the same piece of land?
    1. 12
    2. 6
    3. 8
    4. 30 
40. What is 14w + 4 <16w − 8 in simplest form?
    1. w < 6
    2. w < 2
    3. w > 2
    4. w > 6 
41. What is ⁶/₇(21p+28) − ⁸/₉(18p − 18) in simplest form?.
    1. 34p+ 8
    2. 2p − 40
    3. 2p + 40
    4. 34p − 8
42. What is the value of K in the equation below
    k + 2k + 1 = 4
    6         2  
    1. 3
    2. 3⁶/₇
    3. 4
    4. 3²/₇ 
43. In the figure below EFGH is a rhombus and FGJ is a triangle. Angle GFJ = 76°.
    
    What is the size of angle HEF?
    1. 52°
    2. 128°
    3. 108°
    4. 76°
44. The perimeter of the figure below is 48m. 
    
    What is the length of the figure?
    1. 32m
    2. 14m
    3. 6m
    4. 16m
45. Which of the following sets of measurements will not form a right angled triangle?
    1. 2½cm,6cm, 6½cm
    2. 0.5cm, 1.2cm, 1.3cm
    3. 6cm, 8cm, 12cm
    4. 8cm, 15cm, 17cm
46. Given that a= 2, b = 4, c = 8 and d = 5. What is the value of
    a² (bc − d²). ?
       a² + 2b
    1. 2¹/₃ 
    2. ⁷/₁₀ 
    3. 11
    4. 4
47. The figure below shows a stack made of cubes. It was deeped in paint. How many cubes had two faces painted?
    
    
    1. 100
    2. 32
    3. 8
    4. 20
48. The table below shows postal charges for sending letters and postcards. 
    

    Type of article	Weight step	East African zone	Rest African zone	Europe, Middle   and near East	Australia, America   and far East
    Letters Max weight 2kg	Upto 20g Over 20g to 100g Over 100g to 250g Over 250g to 500g  Over 500g to 1kg Over 1kg to 2kg	sh.     ct.  40     00  80     00 135    00  240   00  400   00  650   00	sh.     ct.   45      00   95      00  155     00   280    00   480    00   795    00	sh.    ct.     50     00    100    00    180    00    320    00    530    00    860    00	sh.      ct.   60       00  130      00   230     00   410     00   680     00  1090    00
    POSTCARDS	Standard size  Large size	20     00   50     00	25     00    60     00	30     00     70     00	35      00    85      00

    Salen sent the following letters and post cards:-
    1. Two letters weighing 195g; One to Uganda and another to America
    2. A large size post card to Europe.
       How much did she spend for postage?
       1. sh. 455
       2. sh. 450
       3. sh. 760
       4. sh. 435
49. The figure below shows patterns in a circle. What is the next pattern?
    
50. The graph below shows journey by a lorry driver and a car driver from town W to X.
    
    How far from town X was Musa when they met?
    1. 140km
    2. 80km
    3. 120km
    4. 100km

MARKING SCHEME

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