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

QUESTIONS

1. Which of the following is 20060409 written in words?
   1. Twenty million six thousand four hundred and nine
   2. Twenty million sixty thousand four hundred and nine
   3. Twenty million six hundred thousand four hundred and nine
   4. Twenty million sixty thousand and forty nine
2. Which of the following statements is correct?
   1. ¹/₄ < 0.25
   2. ⁴/₅ > ⁷/₈
   3. 0.36 > 0.063
   4. ¹/₂ < ²/₅
3. What is the difference between the total values of the digits in the thousand and hundreds position in the number 385240?
   1. 200
   2. 4800
   3. 5000
   4. 5200
4. What is the value of
   (48365 - 12000 + 4 + 2035) - 625 x 8
   1. 38330
   2. 50365
   3. 52400
   4. 42400
5. A farmer had 2800 goats in his farm. He sold ⁵/₇, of the goats on the first day and then sold ¹/₅, of the remainder the following day. How many goats were sold?
   1. 2000
   2. 640
   3. 2160
   4. 160
6. Which is the next number in the pattern
   8, 21, 38, 57, 80,...............
   1. 105
   2. 107
   3. 109
   4. 103
7. A trader sold 19322 bags of wheat in the second week which was 2476 bags less than what he sold in the first week. In the third week he sold 542 more bags than he sold in the first week. How many bags did he sell altogether?
   1. 53556
   2. 59900
   3. 56032
   4. 63460
8. What is the value of:
   
   
   1. 10.5
   2. 110.5
   3. 65.5
   4. 55.5
9. What is 859.9975 rounded off to the nearest hundredths?
   1. 859.99
   2. 860
   3. 859.00
   4. 860.00
10. In a race, Koech takes 12 seconds to runs round a field, Mutuku takes 15 seconds while Muchiri takes 18 seconds to run round the same field. If the three athletes start together after how many seconds will they be together again?
    1. 3
    2. 45
    3. 3240
    4. 180
11. In a farm, on average 6 dairy cows produce 144litre of milk per week. In four weeks the cows produced 1920 litres of milk. How many dairy cows are in the farm?
    1. 480
    2. 20
    3. 14
    4. 26
12. What the squareroot of 26.01?
    1. 4.9
    2. 0.51
    3. 5.1
    4. 0.49
13. The area of a rectangular piece of land is 250 square metres. Its width is 12.5m. What is the perimeter of the piece of land?
    1. 20m
    2. 65m
    3. 40m
    4. 32.5m
14. A building block weighs 2kg 250g. How many such blocks can be loaded into a lorry which can carry 2.7 tonnes?
    1. 12
    2. 120
    3. 1200
    4. 12000
15. The figure below represents a piece of land?
    
    What is the area of the piece of land?
    (Take π = ²²/₇)
    1. 896m²
    2. 850.5m²
    3. 632m²
    4. 1484m²
16. Gotini used a ladder to paint the top of a wall. He placed the bottom of the ladder 2¹/₂, metres away from the wall. The ladder touched the wall at a height of 6 metres. What was the length of the ladder?
    1. 8¹/₂ m
    2. 13 m
    3. 42¹/4 m
    4. 6¹/₂ m 
17. A bus left Kitale on Friday at 8:30 p.m. It took 7h 50minutes to reach Nairobi. On what day and time in 24 hours clock system did he reach Nairobi?
    1. Saturday 0420h
    2. Friday 0420h
    3. Friday 1620h
    4. Saturday 1620h
18. A room has a base of measuring 7.5m by 6m. It has a height of 3m. The walls of the room were painted. If the doors and window occupied a total area of 11m², calculate the total area painted.
    1. 81m²
    2. 70m²
    3. 125m³
    4. 160m²
19. A cylindrical water tank of diameter 0.8m has a height of 3.5m. What is the volume of the container in cubic metres?
    (Take π = ²²/₇)
    1. 8.8
    2. 4.4
    3. 1.76
    4. 7.04
20. The figure below represents a flower garden.
    
    Calculate the distance round the plot in metres (Take π = 3.14)
    1. 161.4
    2. 193.8
    3. 146.4
    4. 178.8
21. A cylindrical tank whose diameter is 70cm has a height of 80cm. How many litre of water can it hold when three quarter full?
    (Take π = ²²/₇)
    
    1. 308
    2. 231
    3. 77
    4. 154
22. Letayo drove from town M at an average speed of 72km/h and took 2h 30minutes to reach town N Kamau drove the same distance and took 3 hours. At what speed was Kamau driving?
    1. 86.4km/h
    2. 48km/h
    3. 90km/h
    4. 60km/h
23. What is the value of
    p + 2n - r
            m
    Where p =5, m = 2p n=p +9 and r=n +6
    1. 2.5
    2. 2
    3. 6.2
    4. 5.8
24. Which one of the following expression is the simplified form of
    2(3n+m) + 4n
     4(n+2m) -m
    1. 7n+2m
         n+m
    2. 10n+m
        4n+ m
    3. 7n+m
       2n+m
    4. 10n+2m
        4n+7m
25. What is the value of x in the equation
    3(2x+2) = 6
           5
    1. 2
    2. 2¹/₃
    3. 4
    4. 3²/₃
26. Maria bought n bananas and Rehema bought 4 more banana than Maria. Okello bought twice the number of bananas bought by both Maria and Rehema. The total number of bananas bought altogether was 30. Which one of the following equation can be used to find the number of bananas Rehemal bought?
    1. 6n+12=30
    2. 4n+8=30
    3. 2n+6=30
    4. 3n+6=30
27. In the figure below construct a perpendicular bisector of line PS. Let the line intersect PS at N and meet line QR at M
    
    What is the size of acute angle QNM?
    1. 145°
    2. 35°
    3. 45°
    4. 135°
28. The ratio of boys to girls in a certain school is 4:5. If there are 240 boys how many more girls than boys are in the school?
    1. 300
    2. 60
    3. 540
    4. 140
29. What is the value of
    3⁵/₆ - ¹/₃ + 1³/₄ ÷ ⁷/₁₂
    
    1. ¹/₂
    2. 6¹/₂
    3. 6
    4. 3¹/₂
30. The figure below is part of a parallelogram PQRS. Complete the parallelogram
    
    What is the length of QS?
    1. 10.3cm
    2. 8.7cm
    3. 6.8cm
    4. 7.5cm
31. Triangle EFG below is a isosceles triangle. The length EF = EG = 13cm and FG= 24cm
    
    What is the area of the triangle?
    1. 120cm²
    2. 60cm²
    3. 156cm²
    4. 312cm²
32. The diagram below is a net of a solid
    
    Which one of the following statements is true about the number of faces, edges and vertices for the solid?
    1. 4 faces, 9 edges and 4 vertices 
    2. 5 faces, 8 edges and 5 vertices 
    3. 4 faces, 6 edges and 4 vertices
    4. 5 faces, 9 edges and 6 vertices
33. Which one of the following statements is true for both a trapezium and a square? 
    1. Opposite sides are equal
    2. Have only one pair of parallel sides
    3. The sum of interior angles is 360°
    4. Diagonals bisect each other at right angles
34. A fruit vendor bought 300 pineapples at sh 240 for every 5 pineapples. She sold the pineapples at sh 60 each. how much profit did she make?
    1. sh 32400
    2. sh 3600
    3. sh 18000
    4. sh 14400
35. The price of an item was increased from sh 4000 to sh 5000. What was the percentage increase?
    1. 125%
    2. 80%
    3. 25%
    4. 20%
36. A father shared part of his money to his three children Hamisi, Ochieng and Kibet. Ochieng received,²/₅ of the money while Hamisi received ¹/₄ of the money. Kibet received ⁴/₇, of remaining amount. What fraction of the money remained?
    1. ⁷/₂₀
    2. ³⁸/₁₄₀
    3. ¹/₅
    4. ³/₂₀
37. The prices of items sold in a shop were as follows:
    1kg of sugar@sh 160
    1 kg of rice @ sh 150
    1 kg of cooking fat @sh 180
    1 loaf of bread @sh 60
    1 packet of milk @sh 65
    Helina bought 2kg of sugar, 1¹/₂kg of rice, ¹/₂kg of cooking fat, 3 loaves of bread and 2 packets of milk. She gave the shopkeeper a sh 1000 note. How much more money did she have to add inorder to get a balance of sh100 note?
    1. sh 65
    2. sh 935
    3. sh 35
    4. sh 25
38. The figure below is a map of a forest drawn to a scale of 1:250000
    
    What is the actual perimeter of the forest in kilometres?
    1. 30
    2. 300
    3. 3
    4. 3000
39. A company give a commission on sales above sh 50,000. In a certain month a salesgirl received a commission of sh8000 after selling goods worth sh250000. What was the percentage commission offered?
    1. 2²/₃%
    2. 3¹/₅%
    3. 5%
    4. 4%
40. A farmer harvested 1500bags of maize. He sold 0.6 of the bags and donated 0.25 of the remainder to a childrens home. He then kept the rest. How many bags of maize were kept?
    1. 600
    2. 150
    3. 450
    4. 900
41.  The table below shows inland postal charges for letters
    

    Mass of letter	sh	cts
    Up to 20g	25	00
    Over 20g upto 50g	30	00
    Over 80g upto 100g	35	00
    Over 100g upto 250g	50	00
    Over 250g upto 500g	85	00
    Over 500g upto 1kg	135	00
    Over 1kg upto 2kg	190	00

    Kirigo posted two letters each weighing 100g and another one weighing 1kg. How much money did she pay at the post office?
    1. sh 170 
    2. sh 290
    3. sh 205
    4. sh 240
42. Fifteen painters can paint a number of houses in 12 days. How many less days would it take 20 painters working at the same rate to paint the houses?
    1. 24
    2. 9
    3. 4
    4. 3
43. The cash price of a bicycle is sh 8000. The hire purchases price is 150% of the cash price. Ali bought the bicycle on hire purchase by paying a deposit of sh 2400 and equal monthly installments of sh800. In how many months did he pay the instalment?
    1. 18
    2. 15
    3. 12
    4. 10
44. The graph below shows Kuigat's journey from Nairobi to Nyeri. On his way he stopped in two places
    
    What was Kuigat's average speed in km/h between the time he left the first stop and the time he arrived at the second stop?
    1. 100km/h
    2. 150km/h
    3. 75km/h
    4. 83,km/h
45. Abdi packed 30 carton each containing 24 bottles of Juice. The amount of Juice in each bottle was 500ml. What was the total amount of the Juice, in litres packed by Abdi?
    1. 360
    2. 3600
    3. 36000
    4. 360000
46.  What is the value of:
    2.8 + 3 - 0.5 x 3.2
                0.4
    1. 4.2
    2. 1.8
    3. 10.5
    4. 25.9
47. Amani deposited sh 80000 in a financial institution that paid simple interest. At the end of 3 years this money had amounted to sh 92000. At what rate per annum was the simple interest awarded?
    1. 15%
    2. 38¹/₂%
    3. 4⁸/₂₃%
    4. 5%
48. In the figure below line PQ and RS are parallel. Lines TU and WW are transversals
    
    What is the size of angle n?
    1. 56°
    2. 130°
    3. 50°
    4. 68°
49. The number of crates of soda sold in one week are as listed below.
    8, 10, 11, 18, X 16, 8
    If the total number of crates of soda sold in the seven days was 84, calculate the median sale
    1. 15 
    2. 12
    3. 11
    4. 8
50. The figure below show a pattern of shapes.
    
    Which one of the shapes below should be drawn in the blank box above to continue?
    

MARKING SCHEME