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

QUESTIONS

1. What is 84 308 420 written in words?
   1. Eighty four million, thirty eight thousand, four hundred and twenty.
   2. Forty eight million, three hundred and eighty thousand, four hundred and twenty.
   3. Eighty four million, three hundred and eighty thousand, four hundred and twenty.
   4. Eighty four million, three hundred and eight thousand, four hundred and twenty.
2. What is the place value of digit 5 in the number 46 589 321?
   1. Millions
   2. Hundreds of thousands
   3. Tens of thousands
   4. Thousands
3. Which of the following statements is correct?
   1. 38.4% is greater than ⁵/₁₃  
   2. ⁵/₁₃  is smaller than 38.4%
   3. ⁵/₁₃ is greater than 38.4%
   4. 38.4% is equal to ⁵/₁₃ 
4. What is the value of
   36 (45 − 39) + 8 x 3 ?
               72 ÷ 6
   
   1. 20
   2. 40
   3. 12
   4. 6
5. What is the sum of the total values of digit 7 and 4 in the number 573 248?
   1. 69 960
   2. 40
   3. 70 000
   4. 70 040 
6. What is 2 699 276 rounded off to the nearest ten thousand?
   1. 2 690 000
   2. 2 700 000
   3. 2 600 000
   4. 2 699 000
7. What is the difference of the largest and the smallest 6-digit number formed using the digits 3, 2, 0, 8, 6 and 9?
   1. 1 190 009
   2. 986 320
   3. 782 63
   4. 203 689
8. The table below represents the sales of milk in litres by a vendor in five days. The sale for Tuesday is not shown.
   

   DAYS OF THE WEEK	MON	TUE	WED	THUR	FRI
   NUMBER OF LITRES	36		25	29	38

   One litre of milk was sold for sh. 50.00. The vendor got a total of sh 8 650.00. How many more litres did the vendor sell on Tuesday than on Thursday?
   1. 16 litres
   2. 6 litres
   3. 8 litres
   4. 12 litres
9. In a school, the primary bell rings after every 35 minutes, while the Junior Secondary bell rings after every 40 minutes. If the two bells rang together at 8.20 am, at what time did they ring together next?
   1. 2.00pm
   2. 3.00 pm
   3. 12.00 pm
   4. 1.00 pm
10. What is the value of √1.1664?
    1. 0.108
    2. 1.08
    3. 10.8
    4. 108
11. What is the next number in the sequence below?
    5.46, 1.25, 4.46, 1.35, ______________________
    1. 1.26
    2. 1.45
    3. 3.46
    4. 3.36
12. What is the simplified form of
    3 (5p + 3q − r) + 4 (3p − 2q + 2r) ?
    1. 27p + q + 5r
    2. 27p + 17q + 11r
    3. 3p − 17q+11r
    4. 27p − q + 5r
13. Waithaka obtained a total of 250 marks in English, Kiswahili and Mathematics. His score in English was half the score obtained in Mathematics. The score in Mathematics was 30 more than the score obtained in Kiswahili. If the score obtained in Kiswahili was represented by x, which one of the following equations can be used to get the value of x?
    1. 2½x + 30 = 250
    2. 5x + 30 = 25
    3. 5x + 45 =250
    4. 2½x + 45 = 250
14. The marked price of an article was sh. 600. Ali paid sh. 510 for the article after being given a discount. What percentage discount did he get?
    1. 17.64%
    2. 15%
    3. 85%
    4. 82.36%
15. A motorist started her journey on Monday at 10.30 pm. She arrived at her destination after 7 hours and 45 minutes. On what day and at what time did she arrive at her destination in 24 hour clock system?
    1. Tuesday, 1815 hours
    2. Monday 1815 hours
    3. Tuesday, 0615 hours
    4. Monday, 0615 hours .
16. The top of a ladder, 13 metres long, leans on a vertical wall. The ladder touches the wall at a height of 12 metres. What is the horizontal distance from the bottom of the ladder to the wall?
    1. 5 m
    2. 3 m
    3. 1 m
    4. 7 m
17. In the figure below lines PQ and RS are parallel. Lines MN and TV are transversal lines.
    
    Which of the following angles is equal to angle d?
    1. j, i and e
    2. z, n and l
    3. w, t and z
    4. t, w and e
18. What is the Greatest Common Divisor of 60, 75 and 90?
    1. 900
    2. 15
    3. 12
    4. 180
19. In a bus, ³/₅ of the passengers were women. ¼ of the remainder were men and the rest were children. If there were 18 children, how many men passengers were in the bus?
    1. 60
    2. 12
    3. 6
    4. 72
20. The price of an item increased from sh. 600 to sh. 720. What was the percentage increase?
    1. 20%
    2. 10%
    3. 15%
    4. 30%
21. The perimeter of a rectangular field is 92 metres. The length of one side is 18 metres. What is the area of the field?
    1. 1 656m²
    2. 540m²
    3. 828 m²
    4. 504m²
       
22. What is the value of 4t² − 5p + 2r when t = 4, p = 2r and r = t − 1?
    1. 40
    2. 20
    3. 30
    4. 1023.
23. A closed cylindrical tank has a radius of 1.05 metres and a height of 1.2 metres. What is the surface area of the tank?
    1. 11.385 m²
    2. 14.85 m²
    3. 7.92 m²
    4. 4.158 m² 
24. Frank is now two years older than his wife and twenty two years older than his son. What will be their total age 5 years if the son's age is x years?
    1. 3x + 42
    2. 3x + 52
    3. 3x + 75
    4. 3x + 57
25. An empty box weighs 1.5 kg. Kimani packed books in the box until the total weight was 9 kg. If each book weighed 250 g, how many books were packed?
    1. 6
    2. 20
    3. 30
    4. 45
26. Kalonzo bought ten bags of potatoes sh.1 200 per bag. He spent sh. 1 000 on transport. He later used one bag of potatoes for home consumption and sold the rest at sh.1 800 per bag. How much profit did he make?
    1. Sh. 5 000
    2. Sh. 2 500
    3. Sh. 3 200
    4. Sh. 4 800
27. What is the value of x in the equation ?
    3(x+2) + 1 = 7?
        2
    1. 3
    2. 2
    3. 4
    4. 6
28. The hire purchase price of a T.V set is 20% more than the cash price. The cash price is sh. 25 000. Otieno paid sh. 3 000 as monthly instalment for eight months. How much had he paid as deposit if he bought it on hire purchase?
    1. Sh. 6 000
    2. Sh. 4 000
    3. Sh. 1 000
    4. Sh. 8 000
29. Jeruto bought the following items:
    3 packets of maize flour at sh. 170 each.
    2 loaves of bread @sh.120.00
    2 kg of sugar for sh.240.00
    4 bars of soap @sh. 180.00
    How much did she spend to buy the items above?
    1. Sh. 1 950.00 
    2. Sh. 2 410.00
    3. Sh. 1 710.00
    4. Sh. 1 630.00
30. Construct triangle CAB in which line AB=7 cm, angle CAB = 70° and angle ABC = 40°. Draw a circle that touches points A, B and C. Measure the radius of the circle. 
    1. 1.8 cm
    2. 3.6 cm
    3. 7.2 cm
    4. 14.4.cm
31. The figure below represents a fish pond
    
    The fishpond is to be fenced all round using four strands of wire. What length of the wire in metres is required? (Тake π = ²²/₇)
    1. 156 m
    2. 428 m
    3. 308 m
    4. 624 m
32. Forty litres of milk was given to a class of 80 pupils to share equally. How many decilitres of milk did each pupil get?
    1. 5 dl
    2. 50 dl
    3. 0.5 dl
    4. 0.05 dl 
33. A motorcyclist took 15 minutes to travel from his home to the market at a speed of 60 km/hr. He took 20 minutes to travel from the market to his home. What was his speed on the return journey?
    1. 75 km/hr
    2. 30 km/hr
    3. 45 km/hr
    4. 90 km/hr
34. A rectangular tank is 3.6 m long, 2.5m wide and 1.2 m high. How many litres of water can it hold when half full?
    1. 10 800 litres
    2. 5 400 litres
    3. 10.8 litres
    4. 5.47 litres
35. The length of one of the parallel sides of a trapezium is 36 cm and the perpendicular height is 14 cm. If the area of the trapezium is 420 cm², what is the length of the other parallel side?
    1. 48 cm
    2. 60 cm
    3. 42 cm
    4. 24 cm
36. The figure below represents a quarter of a circle with center O. The radius of the circle is 14 cm.
    
    What is the area of the shaded part? 
    1. 56 cm²
    2. 154 cm²
    3. 98 cm²
    4. 308 cm³
37. A car dealer paid sh. 20 000 to an agent as a commission for the sale of a car. The commission was 5% of the price of the car. How much money did the dealer remain with from the sale of the car?
    1. Sh. 100 000 
    2. Sh. 120 000
    3. Sh. 380 000
    4. Sh. 400 000
38. The table below shows the postal rates for sending money orders.
    

    VALUE OF ORDER	COMMISSION ( in shs)
    Not exceeding 500  501 - 1 000  1 001 - 3 000  3 001 - 5 000  5 001 - 10 000  10 001 - 20 000  20 001 - 30 000	35.00   54.00   84.00   97.00   128.00   155.00   206.00

    Musa paid school fees for his children who were in different schools, one money order, sh. 8 600 and the other sh. 15 400. How much altogether did he pay at the post office?
    1. Sh. 24 000
    2. Sh. 24 283
    3. Sh. 28 300
    4. Sh. 24 206
39. The following are properties of a certain quadrilateral:
    1. All sides are equal.
    2. Each interior angle is a right angle.
    3. Diagonals bisect each other at 90°
    4. Has only one pair of parallel line.
       Which of the above properties is common in both a rhombus and a square?
       1. ii, iv
       2. iii, iv
       3. i, iv 
       4. i, iii
40. The figure below represents a rectangular plot of land drawn to a scale 1: 1000
    
    What is the actual area of the plot in hectares?
    1. 1.8 hectares
    2. 180 hectares
    3. 1 800 hectares
    4. 18 000 hectares
41. In a class, the ratio of the number of boys to girls is 3:5. What is the percentage of the number of boys in the class?
    1. 62.5%
    2. 60%
    3. 37.5%
    4. 20%
42. A trader borrowed sh. 150 000 from a lending institution that charges simple interest at the rate of 8%p.a. How much should he pay back at the end of two years?
    1. Sh. 174 000
    2. Sh. 174 960
    3. Sh. 24 000
    4. Sh. 24 960
43. The pie chart below shows how Keter spent his salary.
    
    If Keter earned a salary of sh.72 000, how much more did he spend on loan payment than on savings?
    1. Sh. 18 000
    2. Sh. 4.000 
    3. Sh. 30 000
    4. Sh. 10 000
44. The stack of cubes below was dipped in paint.
    
    How many cubes did not get paint at all?
    1. 120
    2. 96
    3. 60
    4. 24
45. Fifteen men can complete digging a shamba in 12 days. How many more men are required to complete the same job in 10 days?
    1. 3
    2. 13
    3. 18
    4. 5
46. Mwangi and Maina shared the profit from the sale of a bull in the ratio 2:3. If the profit was sh. 20 000, how much money did Maina receive?
    1. Sh. 8 000
    2. Sh. 15 000
    3. Sh. 12 000
    4. Sh. 5 000
47. The figure below represents the net of a solid.
    
    If the net is folded to form the solid, how many edges will the solid have?
    
    1. 6
    2. 8
    3. 5
    4. 9
48. In the figure below, ABCDE is a straight line. Lines BC, CD and CF are equal. Angle FDE = 130°.
    
    What is the size of the angle ABF?
    1. 140°
    2. 150°
    3. 130°
    4. 100°
49. The graph below shows a journey made by a lorry from town A to town B and back.
    
    What was the average speed for the whole journey?
    1. 25 km/hr
    2. 50 km/hr
    3. 30 km/hr
    4. 80 km/hr
50. There is a 20% loss when an article is sold at sh. 720.00. At what price should it be sold to make a profit of 5%?
    1. Sh. 956
    2. Sh. 1 015.00
    3. Sh. 900
    4. Sh. 945.00

MARKING SCHEME

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