Mathematics Questions and Answers - Class 8 End Term Exams Term 1 2023 Set 4

QUEATIONS;

1. Write 97 600 306 in words.
   1. Nine hundred and seventy six thousand -three hundred and six.
   2. Ninety seven million, six hundred thousand three hundred and six.
   3. Ninety seven thousand, six hundred and three thousand and sixty.
   4. Ninety seven million, sixty thousand three hundred and six.
2. Work out 45312 x 456 and give the place value of digit zero.
   1. Tens of thousands
   2. Hundreds
   3. Millions
   4. Hundred of thousands
3. What is the total value of digit 3 in the following number; 499.437
   1. Hundreds
   2. 0.0003
   3. ³/₁₀ 
   4. 0.03
4. What is half the product of the LCM and the GCD of 12, 16 and 18? 
   1. 288
   2. 148
   3. 290
   4. 144
5. Convert 0.125 to percentage?
   1.  12.5%
   2. 125%
   3. 0.125% 
   4. ¹²⁵/₁₀₀₀  
6. What is 746.4793 rounded off to  the nearest tenths?
   1. 746
   2. 747.5
   3. 746.48
   4. 746.5
7. What is the product of √ 7¹/_{9 and}  (⁴/₅)² 
   1. ⁶⁴/₉ 
   2. 1⁵³/₇₅  
   3. 2²/₁₅  
   4. ¹⁶/₂₅ 
8. Work out  0.64 x  2.8              = ?
                  0.014 x 0.032
   1. 40 000
   2. 4000
   3. 0.004
   4. 0.04
9. During an election, there were four candidates P, Q, R and S. Candidate R received 8921 votes which was 2356 votes more than what S received and 5230 votes less than what Q received. The total number of valid votes cast was 40155, how many votes did P receive?
   1. 29 637 
   2. 10 518 
   3. 15 486
   4. 14 151
10. What is the value of ¹/₃(2¹/₂ x 4⁴/₅-7¹/₂) ?
    1. 19¹/₂
    2. 17¹/₄ 
    3. 1¹/₂ 
    4. 3¹/₂  
11. What is the value of 8+0.02+1.35x0.4
    1. 400.54
    2. 40.54
    3. 160.54 
    4. 405.4
12. Onyango has 120 animals; Due to drought 20% of the animal died, how many animals did he remain with? 
    1. 140
    2. 24
    3. 120
    4. 96
13. Arrange the following fractions in ascending order ⁵/₁₁ , ³/₇ ,⁶/₁₃ ,²/₅ ,⁴/₉ , ?
    1. ⁶/_13,,⁵/₁₁ ,⁴/₉ ,³/₇ ,²/₅ ,
    2. ⁵/₁₁ ,²/₅ ,³/₇ ,⁶/₁₃ ,⁴/₉ 
    3. ²/₅ ,³/₇ ,⁴/₉ ,⁵/₁₁ ,⁶/₁₃ 
14. What is the perimeter of the rectangle below?
    
    1. 136cm
    2. 68cm
    3. 1021cm
    4. 13cm
15. The figure below shows a water trough. Which is open at the top it was painted on the outside. What was the area painted?(π=²²/₇)
    
    1. 3.985m²
    2. 2.585m²
    3. 2.2m²
    4. 4.785m²
16. What is the volume of the cuboid drawn below in m³?
    
    1. 630cm³
    2. 6300cm³
    3. 63m³
    4. 6.3m³
17. A wheel covers a distance of 44metres after making 10 revolutions. What is the radius of the wheel in metres? (Take  π=²²/₇)
    1. 0.7m
    2. 1.4m
    3. 2.2m
    4. 7.0m
18. Karaba's stride is 170cm. How many strides will he make to cover 391m?
    1. 2.3
    2. 561
    3. 66470
    4. 230
19. A cylindrical container below has a diameter of 2.8m. The container has water water to a height of 1.5m. How much more water in litres is needed to fill the container? (π = ²²/₇)
    
    1. 1293 litres
    2. 9240 litres
    3. 22176 litres
    4. 21176 litres
20. The marked price of an item is sh. 16000. The hire purchase price is 5% more than the marked price. The cash price is sh. 1500 less than the marked price. How much less than the cash price than the hire purchase price of the item?
    1. sh. 2000 
    2. sh. 3000
    3. sh. 23000
    4. sh. 1500
21. Which of the sets below will NOT form a right angled triangle?
    1. 14cm by 48cm by 50cm
    2. 2.5cm by 6cm by 6.5cm
    3. 4 cm by 6cm by 9cm
    4. 2cm by 16cm by 20cm
22. Makasi bought the following items from a kiosk.
    3kg of rice @sh. 42
    1kg of sugar@sh. 68
    2¹/₂kg of tomatoes @sh.15
    3 loaves of bread for sh. 90
    If she paid for the items using a sh. 500 note, how much should Makasi add in order to get a balance of sh. 200?
    1. sh. 20 
    2. sh. 21.50
    3. sh. 178.50
    4. sh. 321.50
23. A meeting started at 12:55pm and took 3 hours 45 minutes. At what time in the 24 hour clock system did the meeting end?
    1. 1600hrs 
    2. 0910hrs
    3. 1540hrs
    4. 1640hrs
24. Duncan deposited sh. 8000 in a bank that gave simple interest as a rate of 12% per year. How much interest had his money earned at the end of 2¹/₂ years?
    1. sh. 2400 
    2. sh. 3600
    3. sh. 10400
    4. sh. 4800
25. What is the name of the solid formed after folding the net drawn below?
    
    1. Triangular prism
    2. Triangular pyramid
    3. Square based pyramid
    4. Wedge
26. What is the value of: (23805 - 2600 + 3025 -5625)÷5?
    1. 18605
    2. 2511
    3. 3721
    4. 4761
27. Which one of the following statements is true about the diagram?
    
    1.  e+d+c=180°
    2.  a+b+d=180°
    3. b+c+d=180°
    4. b+e+c=180°
28. An Air-craft flies at a speed of 648km/h. What was its speed in metres per second?
    1. 2332 m/s 
    2. 900m/s
    3. 360m/s
    4. 180m/s
29. What is the sum of the square of 5 and the square root of 1600?
    1. 25
    2. 40
    3. 65
    4. 45
30. The pie chart below shows how Kamau spends his salary. If he saves sh. 2800 how much does he spend on transport?
    
    1.  sh. 2400
    2.  sh. 4000
    3. sh. 3600
    4. sh. 14 400
31. The mean score of eight pupils is 75%. Six of the pupils scored 60%, 78%, 68%, 70%, 80% and 76%. If the remaining two pupils scored equal marks, what was the median score of the eight pupils?
    1. 77%
    2. 76% 
    3. 73%
    4. 84%
32. On a map whose scale is 1:50000 a rectangular piece of land measures 3cm by 2cm. What is the size of this piece of land in hectares.
    1. 15
    2. 150
    3. 1500
    4. 15000
33. The table below shows the fares between Nairobi to Nyeri.
    
    Kimeu and his wife travelled from Nairobi to Karatina but had a stop-over at Thika. How much did they pay for the journey?
    1. sh. 160
    2. sh. 400
    3. sh. 420
    4. sh. 320
34. Solve the equation ^x+1/₄ + ^x/₃ =2
    1. 8
    2. 2
    3. 4
    4. 3
35. What is the next number in the sequence
    9, 10, 14, 23, 39,
    1. 48
    2. 64
    3. 15
    4. 135
36. What is the value of 9²(8² - 3²)?
                                      3² × 11
    1. 45
    2. 9
    3. 15.
    4. 54
37. Simplify: 4(8x+12y)-3(4x-9y)
    1. 20x + 21y
    2. 20x + 75y
    3. 10x-21y
    4. 10x-75y
38. The table below shows commission charg on sending money by money order.

    Value of order sh	Ordinary commission	Express commission
    upto 500	45.00	65.00
    501-1000	50.00	123.00
    1001 - 2000	70.00	150.00
    2001-3000	110.00	230.00
    3001-5000	200.00	400.00
    5001-10000	235.00	517.00
    10001-20000	320.00	620.00

    How much will Onyango pay at the post office to send sh. 5400 by ordinary mone order and sh. 13200 by express money orde
    1. sh. 820 
    2. sh. 19455
    3. sh. 18600
    4. sh. 85
39. The figure below is a semi circle of diamet 14 metres.
    
    What is the perimeter of the figure.(Takeπ=²²/₇)
    1. 77m
    2. 22m
    3. 58m
    4. 36m
40. The charges of sending an inland telegram were as follows: The first 10 words cost sh 10. Each extra word sh. 1.00. A commissio: of 15% on the total is also charged. How much was paid for the following telegram?
    GAD KILOVI BOX 200 MALABA COMI NAKURU URGENTLY NEKESA
    1. sh. 12.65 
    2. sh. 10.00 
    3. sh. 11.50
    4. sh. 10.35
41. Construct a triangle ABC of lengths AB = 3.5cm, AC-5cm and BC=4cm. Construc a circle touching the points. Find the radius of the circle.
    1. 5.6cm
    2. 1.2cm
    3. 2.8cm
    4. 2.4cm
42. If p 1, r 2 and s=3
    33 p2 xp  -  ³/₄r + ²/_p + ¹⁰/₄₅ 
    1. 2⁵/₆ 
    2. 35⁵/₆ 
    3. 34 ¹/₃ 
    4. 34¹/₆ 
43. What is the square of the square root of 225?
    1. 15
    2. 25
    3. 225
    4. 50625
44. A son is x years old. If the father is 18 years older than the son, what is the sum of their ages?
    1. 2x-18
    2. 2x+18
    3. x + 18
    4. x-8
45. Find the area of the shaded part (π=²²/₇)
    
    1. 1078cm3
    2. 1872cm2
    3. 1470cm2
    4. 784cm2
46. Find the value of 3 ¹/₂+2¹/₃ 
    1. 2/3
    2. 8¹/₆ 
    3. 1¹/₂ 
    4. 1¹/₆ 
47. The sketch below shows the possible routes to school from Agoi's home. Calculate the difference in distance from home to school via the health centre than via the market in kilometres.
    
    1.  0.26km
    2. 13km
    3. 1.56km
    4. 1.3km
48. The table below shows the number of litres of milk delivered to a cooling plant during one week. Use it to answer questions 48 and 49.

    Days of the week	Sun	Mon	Tue	Wed	Thurs	Fri	Sat
    Number of litres	54	55	52	58	56	59	51

    Which two consecutive days was the total amount of milk delivered the least?
    1. Thursday and Friday
    2. Sunday and Monday
    3. Friday and Saturday
    4. Saturday and Sunday
49. What is the mean of litres delivered during the week?
    1. 51
    2. 55
    3. 56
    4. 59
50. Which is the next shape in the pattern?
    
    

MARKING SCHEME

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

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