Mathematics Questions and Answers - Class 8 End of Term 1 Exams 2022 Set 1

QUESTIONS

1. Which of the following is 3 246 254 in words?
   1. Three million two hundred and forty six thousand, two hundred and fifty four.
   2. Three hundred and forty six thousand, two hundred and fifty four hundred.
   3. Three million two hundred and fifty six thousand two hundred and fifty four.
   4. Thirty two million four hundred and six million four hundred and sixty two thousand and fifty four.
2. What is 687.879 rounded off to the two decimal place?
   1. 687.87 
   2. 687.88 
   3. 688.00 
   4. 687.00
3. A family consumes 3-500 ml packets of milk daily. How many litres did they consume in January and February of 2021? 
   1. 87 litres
   2. 90 litres
   3. 88.5 litres
   4. 91.5 litres
4. What is the place value of digit 4 in the number 364 892?
   1. Ten of thousands
   2. Hundreds of thousands
   3. Hundreds
   4. Thousands
5. What is the value of 3(4² - 2²) - 5 * 6:2?
   1. 21 
   2. 30 
   3. 45
   4. 25
6. Jasmin bought the following items from a shop.
   3 kg sugar @ sh.115.
   3kg rice @ sh.80
   1½ kg cooking fal for sh.180
   3 packets of milk @ sh.60
   How much did he spend on the items?
   1. Sh 655
   2. Sh 945
   3. Sh 855
   4. Sh 1 035
7. What is the size of angle ABC on the triangle below?
   
   
   1. 104°
   2. 76°
   3. 59°
   4. 52°
8. What is the square of the number 1²/₃?
   1. ⁵/₃
   2. ²⁵/₉
   3. 2⁷/₉
   4. 4¹/₆
9. What is the next number in the sequence
   2, 3, 5, 8, 13,.........?
   1. 20
   2. 19
   3. 23
   4. 21
10.  What is the simplest form of
    3(x+1)+ 2(x+4)?
    1. 5x + 11
    2. 5x + 5
    3. 6x + 10
    4. 5x + 13
11. The table below shows the bus time table
    

    Town	Arrival Time	Departure time
    A		7:30am
    B	8:45 am	9:00am
    C	11:25am	11:35am
    D	12:40pm	1:00pm
    E	2:25pm

    How long did the bu.. take form town B to town D.
    1. 3 hrs 55 min
    2. 3 hrs 40 min
    3. 4 hrs
    4. 3 hrs 20 min
12. The perimeter of a rectangular plot is 240 metre. The length of the plot is 70m long. What is the width of the plot?
    1. 100 m
    2. 140
    3. 50 m 
    4. 55
13. What is the area of a circle whose diameter is 28 cm?
    1. 2 464 cm²
    2. 616 cm²
    3. 176 cm
    4. 88 cm²
14. What is the value of ³/₅ ÷ 1²/₅ of ³/₄ ?
    1. ⁴/₇
    2. ²/₃
    3. 1²/₇
    4. ³/₇
15. The marked price of a cupboard is Sh12 000. Chumo was given 15% discount, how much did he pay?
    1. Sh.13 800
    2. Sh. 1 800
    3. Sh. 10 200
    4. Sh. 18 000
16. What is the L.C.M of 12, 18 and 27?
    1. 3
    2. 108
    3. 216
    4. 180
17. A cylindrical container has a radius of 28 cm and a height of 30 cm. What is its capacity in litres?
    1. 73 9201
    2. 739.21
    3. 73.921
    4. 7.3921
18. The fractions ³/₈, ²/₅ , ⁵/₈ , ¹/₂ are to be arranged from the SMALLEST to the LARGEST. Which one of the following is the CORRECT order?
    1. ⁵/₈, ¹/₂, ²/₅ , ³/₈
    2. ⁵/₈, ³/₈, ²/₅ , ¹/₂
    3. ¹/₂,²/₅ ,³/₈, ⁵/₈
    4. ³/₈, ²/₅ , ¹/₂, ⁵/₈
19. Which of the following statements is NOT TRUE about a rhombus?
    1. All angles are equal
    2. Diagonals are not equal 
    3. Two pairs of parallel lines
    4. Diagonals bisect at right angles.
20. The table below shows the amount of milk in litres delivered for six days
    

    mon	tue	wed	thur	fri	sat
    36	42	38	29	49	36

    In which two consecutive days was delivered highest?
    1. Tuesday and Wednesday
    2. Friday and Saturday
    3. Monday and Tuesday
    4. Wednesday and Thursday
21. Construct a triangle ABC such that line AB=6cm BC= 5.5 cm and angle ABC = 58º
    What is the length of line? 
    1. 8 cm
    2. 4 cm
    3. 5.5 cm
    4. 6.5 cm
22. What is the value of Y in the equation
    5y +4= 3y +20?
    1. 16
    2. 12 
    3. 4
    4. 8
23. How many faces and edges do a square pyramid have?
    1. 4 faces 8 edges
    2. 8 faces 5 edges 
    3. 5 faces 8 edges
    4. 8 faces 4 edges
24. Twelve men can do a job in 15 days. How long would it take 6 men?
    1. 30
    2. 12
    3. 15
    4. 9
25. Which of the following sets of measurement will form a right angle?
    1. 3 cm, 5 cm, 6 cm
    2. 8 cm 15 cm, 17 cm
    3. 12 cm, 13 cm, 16 cm
    4. 6 cm, 8 cm, 12 cm
26. An empty carton has a mass of 0.5 kg. The carton is packed with 60 books cach 0.375 kg. What is the mass of such 10 cartons in kg? 
    1. 230 kg
    2. 23 kg 
    3. 22.5 kg
    4. 225 kg
27. Susan bought a cow at sh 18 000 and later sold it making 20% profit. What was the selling price?
    1. Sh 24 000
    2. Sh 25 200
    3. Sh 16 800
    4. Sh 21 600
28. The table below shows the amount of milk delivered in one week.
    

    mon	tue	wed	thur	fri	sat	sun
    68	83	67	73	58	63	83

    What was the modal milk delivery?
    1. 83
    2. 67
    3. 73
    4. 58
29. Njagi deposited Shs 150 000 in a bank that paid a simple interest at the rate of 5%. How much interest did the money earn after two years? 
    1. Sh 15 000
    2. Sh 165 000
    3. Sh 7 500
    4. Sh 157 500
30. In a campaign meeting there were 240 men. The number of women was twice the number of men and the number of youths was three times the sum of men and women. How many people attended the prayer rally?
    1. 2 160
    2. 720
    3. 2880
    4. 1 440
31. The hire purchase price of a T. V is Shs. 28 000. Wanjira paid Shs.4 000 as deposit and the rest in 12 equal monthly instalments. How much was cach instalments? 
    1. Sh 24 000
    2. Sh 3 000
    3. Sh 1 200
    4. Sh 2 000
32. What is the length of the diagonal of a rectangle whose length is 24 cm and a width of 7 cm?
    1. 26 cm
    2. 28 cm
    3. 25 cm
    4. 19 cm
33. Work out √0.0169
    1. 0.013 
    2. 0.13
    3. 1.3
    4. 13
34. A salesman earns a basic salary of 12 000. He is also paid 5% commission on all the sales he makes. In one month he solds goods worth Sh 200 000. How much did he carn in total that month?
    1. Sh 12 000
    2. Sh 13 000
    3. Sh 22 000
    4. Sh 25 000
35. On a map a distance of 8 km is represented by 4cm. What is the scale used?
    1. 2: 200
    2. 2: 2000
    3. 2: 20 000
    4. 2: 200 000
36. What is the value of 24 ÷ 3 + 4 x 5 - 8 + 4 x 10+1
    1. 41
    2. 9 
    3. 131
    4. 7
37. Wanjiru bought xoranges while Atieno bought 5 oranges more than Wanjiru. Naliaka bought two times the oranges bought by Atieno. Which of the following expression shows the total number of oranges bought by them?
    1. 3x + 15
    2. 2x + 10
    3. 3x + 10
    4. 4x + 15
38. What is the area of the triangle below?
    
    
    1. 120 cm²
    2. 240 cm²
    3. 272 cm²
    4. 136 cm²
39.  A tank has a volume of 2.08 m. How many litres does it hold when half full?
    1. 2 080 litres
    2. 1 040 liters
    3. 208 litres
    4. 104 liters
40. What is the sum of G.C.D and L.C.M of 16, 20, 24?
    1. 4 
    2. 288
    3. 240
    4. 244
41. Wanjala spent ¹/₄ of the salary on food ¹/₃ on rent, ³/₄ of the remainder on school fees and the rest on transport. If the salary is Sh 48 000, how much did he spend on transport?
    1. Sh 24 000 
    2. Sh 12 000 
    3. Sh 5000
    4. Sh 16 000
42. The area of a square is 2 500 m². What is the perimeter of the square? 
    1. 200 m
    2. 400 m
    3. 100 m
    4. 300 m
43. A motorist travelled a distance of 360km in 4 hours. What was the speed in m/s?
    1. 30 m/s
    2. 25 m/s
    3. 15 m/s
    4. 36 m/s
44. Okong'o bought 3 hens at Sh 650. He sold each at Sh 800. How much profit did he make?
    1. Sh 150
    2. Sh 300
    3. Sh 450
    4. Sh 600
45. A water tank has a volume of 28 ml. How many litres does it hold?
    1. 280 0001
    2. 28 0001
    3. 2 8001
    4. 2801
46. A mecting started at 8:30 cm, if the meeting lasted for 6 hrs 25 mins. At what time in 24 hours system did it end?
    1. 1 455hrs
    2. 2:55 pm
    3. 1355 hrs
    4. 3:55 pm
47. What is the surface area of an open cylinder whose radius is 21 cm and a height of 25 cm.
    1. 1386 cm²
    2. 2772 cm²
    3. 6072 cm²
    4. 4686 cm²
48. The figure below shows a pattern of the shape?
    
    Which of the following is the next shape in the pattern?
    
49. The pie chart below shows how Karani spent his salary.
    
    If the salary was Sh 48 000. How much did he spend on savings?
    1. Sh 8 000 
    2. Sh 12 000
    3. Sh 9 600 
    4. Sh 18 400
50. The graph below shows the journey by Wabati from town A to town B?
    
    What was the average speed for the whole journey?
    1. 15 km/h 
    2. 30 km/h
    3. 120 km/h
    4. 45 km/h

MARKING SCHEME