Mathematics Questions and Answers - Class 8 Opener Exams Term 1 2023 Set 6

QUESTIONS

1. Which one of the following is seventy eight million, seventy eight thousand, seven hundred and eighty in numerals?
   1. 78 078 078
   2. 78 780 780
   3. 78 708 780
   4. 78 078 780
2. One side of a square plot of land is 48m. What is the area of the plot?
   1. 192m³
   2.  2 304m³
   3. 16m³
   4. 256m³
3. Arrange number 3 016 048, 3 160 480, 3 016 408 and 3 016 480 in an ascending order correctly.
   1. 3 016 408, 3 016 480, 3 160 480 3 016 048
   2. 3 160 480, 3 016 480, 3 016 408, 3 016 048
   3. 3 016 048, 3 016 408, 3 016 480, 3 160 480
   4. 3 160 480, 3 016 408, 3 016 048, 3 016 480
4. What is the place value of digit 0 in the product of 38 and 29?
   1. Tens.
   2. Hundreds.
   3. Thousands.
   4. Ones.
5. Three containers of milk have a capacity of 16 litres, 12 litres and 24 litres respectively. The milk was repacked into smaller containers of equal capacity. What is the large container which was be used to repack the milk?
   1. 48 litres
   2. 24 litres
   3. 8 litres
   4. 4 litres
6. What is the smallest number that should be added to 538 722 to make it divisible by 11?
   1.  2
   2. 3
   3. 4
   4. 5
7. What is 21.428 rounded off to the nearest hundredths?
   1. 21.4
   2. 21.42
   3. 21.43
   4. 21.00
8. What is the value of: 4¹/₃ -3¹/₄, of 2¹/₃+3¹/₄?
   1. 1³/₄
   2. 1³/₄
   3. 1²/₃
   4. 1¹/₂
9. How many groups of hundreds are there in the total value of digit 7 in the number 576 4287
   1. 70
   2. 70 000
   3. 7 000
   4. 700
10. What is the next number in the pattern?
    5, 9, 18, 43, 92,............
    1. 213
    2. 196
    3. 173
    4. 203
11. Three disco lights flash light at intervals of 15 seconds, 30 seconds and 48 seconds. After how many minutes will they flash light together again?
    1. 240 minutes
    2. 4 minutes
    3. 60 minutes
    4. 15 minutes
12. Kinoti used 13 bags of fertilizer in each of his 8 gardens of coffee. Eighteen bags of fertilizer remained in the store. How man bags of fertilizer were in the store altogether?
    1. 104
    2. 86
    3. 122
    4. 39
13. Amani spent ¹/₁₀, of her salary on rent ²/₅, on food and ³/₈ on other expenses and saved the rest. What fraction of her salary did she save?
    1. ¹/₈
    2. ¹/₄
    3. ¹/₁₆
    4. ¹/₅
14. In the figure below, line PQ and RS are parallel lines. Line AB and CD are transversal lines.
    
    Which of the following angles is equal to angle k? 
    1. p. r and t
    2. v, t and q
    3. w, J and p
    4. I, y and w
15. The length and width of a rectangle are (2p+3) cm and (p-5)cm respectively. Whethe perimeter of the rectangle?
    1. (3p-2) cm
    2. (6p-4)cm
    3. p (6p-16)cm
    4. D. (6p + 16)cm
16. Which of the following properties is common in both a square and a rectangle.
    1. Diagonals bisect each other at a right angle
    2. All sides are equal.
    3. Each interior angle is a right angle.
    4. The sum of interior angles adds up to two right angles.
17. A bus left Mandera for Nairobi on Tuesday at 1935hrs. The bus arrived at Nairobi on Wednesday at 0530hrs. How long did the journey take?
    1. 9 hours 55 minutes.
    2. 10 hours 25minutes.
    3. 14 hours 5 minutes.
    4. 6 hours 45 minutes.
18. The longest side of a right angled triangle is 17m. What are the possible lengths of the two shorter sides?
    1. 10 metres and 7 metres
    2. 6 metres and 12 metres
    3. 5 metres and 12 metres
    4. 8 metres and 15 metres
19. Sudi's plot of land is in the shape of a trapezium PGHK as shown below.
    
    What is the area of the plot in hectares?
    1. 0.132ha
    2. 1.32ha
    3. 13.2ha
    4. 132ha
20. What is the value of 2(4a+3b)+3(2a +b) when a-3 and b=2?
    1. 60
    2. 90
    3. 50
    4. 80
21. A school bought desks for the pupils. The first 50 desks cost sh. 500 each and the rest cost sh. 300 each. How much did the school spend altogether?
    1. Sh. (300t+40 000)
    2. Sh. (300t+20 000)
    3. Sh. (300t+ 10 000)
    4. Sh. (300t 15 000)
22. The following are properties of a certain quadrilateral:
    1. Opposite sides are equal and parallel
    2. Diagonals are varied but don't bisect at right angles.
    3. The sum of interior angles adds up to 360
       Which one of the following figures is being described above?
       1. Parallelogram
       2. Rectangle
       3. Rhombus
       4. Square
23. What is the value of p in the equation
    5(p-4)=3(p-2)?
    1. 4
    2. 9
    3. 2
    4. 7
24. Which digit is in the place value of thousandths in the number 5 642.98731?
    1. 5
    2. 7
    3. 3
    4. 6
25. What is the value of:
    13.3 x 10.87
      1.2 x 0.7
    1. 1.71
    2. 0.171
    3. 171.7
    4. 17.1
26. A cylindrical container has a volume of 9 240m³ and a height of 15 metres. What is the diameter of the container in metres?
    1. 28m
    2. 14m
    3. 7m
    4. 56m
27. A room measuring 12m long, 8m wide and 5m high had all the walls painted. What was the total area of the walls that were painted?
    1. 392m²
    2. 480m²
    3. 200m²
    4. 240m²
28. A school was supplied with 4 000 packets of milk. Each packet had a capacity of 5 decilitres. How many litres were supplied to the school?
    1. 20L
    2. 200L
    3. 20 000L
    4. 2000L
29. What is ⁵/₁₆ as a percentage?
    1. ⁵/₁₆%
    2. 31¹/₄%
    3. 3¹/₅%
    4. 3¹/⁴%
30. What is the value of √0.0361?
    1. 0.19
    2. 0.019
    3. 0.0019
    4. 1.9
31. A trader sold an item for sh. 1 848 making a loss of 12%. How much was the buying price of the item?
    1. Sh. 2 500.00
    2. Sh. 2 520.00
    3. Sh. 252.00
    4. Sh. 2 100.00
32. A pastoralist had 650 goats in the beginning of the year 2022. Due to famine, 20% of the goats died. How many goats were left by the end of the year?
    1. 130
    2. 450
    3. 520
    4. 510
33. A square based tank of sides 6 metres has a height of 4 metres. The tank contains water to a height of 3 metres. How many litres of water are required to fill the tank?
    1. 144 000/
    2. 36 000/
    3. 108 000/
    4. 48 0001
34. Santero invested sh. 150 000 in a bank.
    The bank paid a simple interest at the rate of 12% per annum. How much interest did he earn at the end of two years?
    1. Sh. 18 000
    2. Sh. 168 000
    3. Sh. 186 000
    4. Sh. 36 000
35. The cash price of a water tank is sh. 28 500. The hire purchase price of the tank is sh. 3 500 more than the cash price. Mwangi bought the tank on hire purchase terms. He paid a deposit of sh. 6000 and the remaining balance in five ual monthly instalments. How much was each instalment?
    1. Sh. 5 200
    2. Sh. 4 500
    3. Sh. 3 800
    4. Sh. 6 300
36. Increase sh. 600 by 25%.
    1. Sh. 750
    2. Sh. 1 200
    3. Sh. 1 350
    4. Sh. 950
37. A parallelogram has a base length of 24cm and a perpendicular height of 15cm. Calculate the area of the parallelogram.
    1. 180cm²
    2. 360cm²
    3. 240cm²
    4. 420cm²
38. The floor of an office measures 5m by 4.5m. A carpet laid on the floor is 0.25m from the wall all around. What area of the floor is left uncovered?
    1. 22.5m²
    2. 5.0m²
    3. 2.3125m²
    4. 4.5m²
39. A salesman earns a basic salary of sb. 15 000 per mouth plus an 8% commission on all the sales he make in a month. In a certain month, the salesman sold goods worth sh. 150 000. How much did he earn altogether that month?
    1. Sh. 27 000
    2. Sh. 165 000
    3. Sh. 12 000
    4. D. Sh: 38 000
40. A road measuring 6cm on a map has an actual distance of 18km. What is the scale used in drawing the map?
    1. 1:3 900
    2. 1: 30 000
    3. 1:300 000
    4. 1: 3 000 000
41. Mrs. Otieno paid sh. 20 400 for a elevision set after she was given a discount of 15%. What was the marked price of the television set?
    1. Sh. 3 600
    2. Sh. 24-000
    3. Sh. 28 400
    4. Sh. 17 340
42. The table below shows a train travel timetable from station P to station M.
    

    Station	Arrival time	Departure time
    P	_______	0725hrs
    Q	0900hrs	0941hrs
    R	1107hrs	1132hrs
    S	1313hrs	1343hrs
    M	1450hrs	_______

    Between which two stations did the train take the shortest time?
    1. P and Q
    2. Q and R
    3. R and S
    4. S and M
43. A pupil scored the following marks during his KCPE results:
    Mathematics 86%
    English 94%
    Kiswahili 90%
    Science 84%
    SST & Religious Education 66%
    The marks were represented on a pie chart. What angle represented the score in Science?
    1. 72°
    2. 57°
    3. 74°
    4. 77°
44. A pipe has a radius if 14cm. The length of the pipe is 80cm. What is the surface area of the pipe?
    1. 3 520 cm³
    2. 8 272 cm³
    3. 7 040 cm³
    4. 4 752 cm³
45. A country exported 8 520 bags of avocado.
    If each bag weighed 80kg, how many tonnes of avocado were exported?
    1. 68.161
    2. 681.61
    3. 6 8161
    4. 68 1601
46. Mbae bought a cow for sh. 7 500 and sold it later at sh 8 100. What was the percentage profit made?
    1. 18%
    2. 7¹/₅%
    3. 7¹¹/₂₇%
    4. 8%
47. Five men can complete digging a certain piece of land in 12 hours. How long would it take if 8 men were hired to dig the same land at the same rate?
    1. 19¹/₅ hours
    2. 4'/hours
    3. 7%,hours
    4. 20%,hours
48. The heights of seven boys in a class were as follows: 139cm, 148cm, 141cm, 147cm, 143cm, 141cm and 142cm. Calculate the mean height of the boys.
    1. 143cm
    2. 141cm
    3. 138cm
    4. 142cm
49. John and James shared sh. 75 000 in the ratio of 7:8. How much did James receive?
    1. Sh. 25 000
    2. Sh. 50 000
    3. Sh. 35 000
    4. Sh. 40 000
50. The graph below show a journey of a cyclist from home to town, a distance of 100km, and back.
    
    What was his average speed for the whole journey?
    1. 40km/hr
    2. 25km/hr
    3. 30km/hr
    4. 35km/hr

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