Mathematics Questions And Answers - Class 8 End of Term 2 2021 Set 2

MATHEMATICS
STD 8
END OF TERM 2

1. Which one of the following is eleven million four hundred thousand six hundred and eleven in symbols?
   1. 11400161
   2. 11040611
   3. 11400611
   4. 11004611
2. What is the place value of digit 5 in the number 645732?
   1. 5000
   2. Hundreds
   3. Ten thousands
   4. Thousands
3. What is the Highest Common Factor of 48, 72 and 54?
   1. 6
   2. 12
   3. 32
   4. 864
4. What is 5798923 rounded off to the nearest thousands?
   1. 5790000
   2. 5799000
   3. 5798000
   4. 579800
5. What is the next number in the sequence below?
   1½, 2 ¹/₆, 2 ⁵/₆, 3½, ____
   1. 4 ¹/₆
   2. 4 ¹/₃ 
   3. 4 ¹/₂
   4. 5 ¹/₆
6. What is the square root of 5 ⁴/₉?
   1. 1 ⁷/₉
   2. .2 ¹/₃
   3. 2 ²/₃
   4. ⁷/₉
7. Which one of the following computations gives a fraction equivalent to  7/9?
   1.  5 x 2 
        6x3
   2.   7x3  
        3 x 9.
   3.   9-2   
      11 + 2
   4.   7X2  
      18 + 2
8. In the figure below, BCDE is a quadrilateral. Line ABC is a straight line. Line AC is parallel to ED and line EB is parallel to DC. Angle AEB = 80° and EDC = 125°.
   
   Find the value of angle EAB.
   1. 55°
   2. 135°
   3. 45°
   4. 80°
9. What is the least number that should be added to 3661 to make it divisible by 8?
   2. 5
   3. 2
   4. 3
10. What is the value of:
    4.5+ 3.6 x 1.2 + 1.36
           0.5 
    1. 20.36
    2. 19.32
    3. 19.00
    4. 10.18
11. The price of a suit was increase by Shs.400. If this was 20%, what was the price of the suit before the increase?
    1. Shs. 2400
    2. Shs. 2000
    3. Shs. 1800 
    4. Shs. 1600 12.
12. 1.5 tonnes of sugar were packed in 750g packets. How many packets were obtained?
    1. 2
    2. 200
    3. 2000
    4. 20 
13. What is the perimeter of the figure below given that OB is the diameter of the semi circle? (π=²²/₇)
    
    
    1. 120cm 
    2. 140cm
    3. 126cm
    4. 112cm
14. The difference of two numbers is 850. The smallest number is 717. What is the other number?
    1. 1467
    2. 1667
    3. 1567
    4. 133
15. Kamau is three times as old as his sister Ten years ago, their total age was 24 years How old will Kamau be in 3 years times?
    1. 36 years
    2. 11 years
    3. 14 years
    4. 33 years 
16. What is the value of:
    ab²(c² - 2a)
             c
    where a = b + 3, b = c - 2 and c = 4. 
    1. 55
    2. 30
    3. 15
    4. 70
17. The figure below shows a triangle
    
    What kind of a triangle is it?
    1. Right angled triangle.
    2. Equilateral triangle
    3. Scalene triangle
    4. Isosceles triangle
18. Alice bought 15 cartons of milk. A carton contains thirty six-500ml packets of milk. How many litres of milk did Alice buy altogether?
    1. 27000L
    2. 54000L
    3. 270L
    4. 450L
19. What is the value of w in the equation.
    W+1 + 3 = 6?
       2
    
    1. 2
    2. 5
    3. 4
    4. 8
20. Construct triangle ABC in which AB = 6.5cm, AC = 5cm and angle ACB = 60°. What is the length of line CB?
    1. 5.2cm
    2. 4.9cm
    3. 5.9cm
    4. 6.9cm
21. The area of the trapezium below is 648cm2.Line AB is 24cm and the perpendicular height is 18cm.
    
    Find the length of line DC
    1. 72cm
    2. 96cm
    3. 24cm
    4. 48cm
22. Adagi bought a watch for Shs. 342 after he was allowed a discount. If the marked price was Shs. 360, what was the percentage discount?
    1. 5%
    2. 18%
    3. 22%
    4. 6 1/9%
23. The temperature of ice was 14° below the melting point. It was heated to a temperature of 68°C. What was the rise in temperature?
    1. 54°C
    2. 72°C
    3. 68°C
    4. 82°C
24. The length of a rectangle is 36cm. Itsdiagonal is 45cm. Calculate its perimeter?
    1. 126cm
    2. 162cm
    3. 81cm
    4. 61cm
25. Three traffic signals are set to flash at intervals of 24 min, 30 min and 36 min. It they flashed together at 9:10a.m, at what time had they flashed together before?
    1. 3:10pm
    2. 9:16am
    3. 10:40pm
    4. 3:10am
26. What is the area of the shaded part in the figure below?
    
    
    1. 20cm²  
    2. 72cm²
    3. 30cm² 
    4. 36cm²
27. Kemunto bought the following items from a shop:
    2kg of rice at Shs. 75.
    3 packets of flour at Shs. 120.
    2 ¹/₂ kg of sugar at Shs. 50.
    2 packets of coffee for Shs. 150.
    She paid for the items with two-sh.500 notes. What balance did she get?
    1. Shs. 785
    2. Shs. 65
    3. Shs. 215
    4. Shs. 225
28. The ratio of men to women in a meeting was 4:5. There are 70 more women than men in the meeting. How many women were there?
    1. 350
    2. 630
    3. 280
    4. 400
29. What is the perimeter of the figure below. The diameter of the semi-circle is 10cm (Take = 3.14)
    
    
    1. 32.55cm
    2. 30.55cm
    3. 23.44cm
    4. 29.55cm
30. A book seller sold Distinction Mathematics text book for Shs. 720 making a 10% loss. How much would he have sold the book to make 20% profit?
    1. Shs. 880
    2. Shs. 800
    3. Shs. 960
    4. Shs. 864 
31. A circular pond has an area of 2464m². It was fenced round using five strands of wire. What is the length of the wire used? 1=22%,
    1. 789m
    2. 280m
    3. 176m
    4. 880m
32. A motorist travelled at a speed of 60km/h for 2hrs. He then increased the speed by 10km/h for other 2 hours. What was the average speed for the whole journey?
    1. 65km/h
    2. 64km/h
    3. 70km/h
    4. 68km/h 
33. What is the sum of the mean and the mode of the following numbers?
    4, 5, 6, 7, 5, 9, 5, 8,5
    1. 6
    2. .5
    3. 10
    4. 11
34. Simplify:
    1/2(2x - 14 - 6) + 1/4(8x + 36y + 12)
    1. 3x + 2y - 6
    2. 3x + 2y + 6
    3. 3x + 2y
    4. 3x + 16y +6
35. 8 workers were expected to take 24 days to complete some work. Two failed to turn up. How many more days did the work take the remaining workers to complete the work?
    1. 32
    2. 8
    3. 18
    4. 6 
36. The perimeter of the triangle below is 36cm.
    
    What is the area of the triangle above?
    1. 60cm
    2. 120cm
    3. 30cm
    4. 65cm
37. Luka borrowed Shs. 25500 from a bank that charged simple interest at a rate of 15 % p.a. If he paid all the money after 8 months, how much did he pay?
    1. Shs. 25050
    2. Shs. 2550
    3. Shs. 2813
    4. Shs. 2635 
38. A length of 5cm was drawn on a map to represent a river of 80km long. What is the scale of the map?
    1. 1:16000000
    2. 1:1600000
    3. 1:160000
    4. 1:16000
39. After paying a commission of 7% of the price of a vehicle to an agent, the owner of the vehicle was left with Shs. 232500. How much was paid to the agent?
    1. Shs. 17500
    2. Shs. 17275
    3. Shs. 16275
    4. Shs. 25000
40. In the figure below, line MN = MT, angle NMT = 40°, angel PTN = 30° and angle PNT = 70°
    
    What is the measure of angle MPT?
    1. 30°
    2. 100°
    3. 80°
    4. 70°
41. The area of a square piece of land is 0.64ha. What is its perimeter in metres?
    1. 80m
    2. 320m
    3. 6400m
    4. 8000m
42. Naliaka bought 1000 bananas at Shs. 5 each. On the way, 43 bananas got spoilt. She sold the rest in piles of 11 bananas at Shs. 88 each pile. What was the profit made?
    1. Shs. 6656
    2. Shs. 1656
    3. Shs. 5000
    4. Shs. 2656
43. Timothy bought a T.V set through a hire purchase terms by paying a deposit of Shs. 9500 followed by 20 monthly installments of Shs. 920 each. If the cash price was Shs. 24000, how much more than the cash price did he pay for the TV set?
    1. Shs. 3900
    2. Shs. 13580
    3. Shs. 15100
    4. Shs. 5600
44. The figure below shows a right-angled triangle YXZ. Line XY = 6.5cm, MY = 2.0cm and ZM = 7.5cm. 7.5cm
    
    What is the area of triangle MZY?
    1. 6.5cm
    2. 13.5cm
    3. 6.0cm
    4. 18.5cm
45. What is twice the value of:
    ¹/₂  of  ³/₄ + ¹/₈ (⁷/₉ - ²/₃) ÷ ¹/₄?
    1. ³¹/₃₆
    2. ³¹/₇₂
    3. ¹/₄
    4. ¹⁷/₁₈
46. What is the surface area of the solid drawn below?(π=²²/₇)
    
    
    1. 50016cm
    2. 30800cm
    3. 2992cm
    4. 5632cm
47. What is the total value of digit 3 in the number? 6835290
    1. 3000
    2. Ten thousands
    3. Thirty thousand
    4. 300000 
48. The table below shows distance in km between different towns. Thika 80 Kenol 113 1140 Sagana 160 120 40 Karatina What is the distance from Sagana to Thika via Kenol?
    
    
    1. 40km
    2. 160km 
    3. 113km
    4. 220km
49. Mr. Stephen paid Shs. 1800 for an item after he was allowed a discount of 10%. How much was the marked price?
    1. Shs. 2000
    2. Shs. 1980
    3. Shs. 1620
    4. Shs. 2180
50. The graph below shows the journey of a motorist.
    
    What was his average speed for the whole journey?
    1. 60km/h
    2. 48km/h
    3. 72km/h
    4. 100km/h

MARKING SCHEME

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