Mathematics Questions and Answers - Class 8 End Term Exams Term 1 2023 Set 5

QUESTIONS

1. What is 30030030 written in words?
   1. Three million thirty thousand and thirty
   2. Thirty million thirty thousand and thirty 
   3. Thirty million three hundred thousand and thirty
   4. Three hundred million thirty thousand and thirty
2. What is the total value of digit 9 in the number 589513265?
   1. Million
   2. Ninety thousands
   3. Nine hundred thousands
   4. Nine million
3. The side of a square plot of land is 27m.
   What is the area in ares?
   1. 729
   2. 72.9
   3. 72900
   4. 7.29
4. What is the value of 93276543269458 + 4003002?
   1. 10061198
   2. 10549014
   3. 125971134
   4. 125878134
5. What is the next number in the pattern
   3, 5, 8, 13, 21,.............................
   1. 22
   2. 33
   3. 34
   4. 50
6. What is the value of 3³/₄ + 1¹/₅ of 2²/₃?
   1. 1⁶¹/₆₄
   2. 1¹¹/₆₄
   3. 8¹/₃
   4. 12
7. What is the place value of digit 7 in the number 3498.69997?
   1. Ten thousands
   2. Thousands
   3. Hundred thousandths
   4. Tenths
8. What is the difference between the square of 36 and the square root of 16?
   1. 1552
   2. 1300
   3. 1292
   4. 20
9. The price of a book was Shs 120. The price was increased by 25%, what is the price after the increase?
   1. Shs 150
   2. Shs 130
   3. Shs 160
   4. Shs 90
10. The figure drawn is made of a trapezium and a circle drawn inside it.
    
    What is the area not covered by the circle?
    (Таkе π = ²²/₇)
    1. 154cm²
    2. 224cm²
    3. 250cm²
    4. 308cm²
11. What is the value of
    2.5+0.9 of 2.5-1.142 ?
    1. 0.218
    2. 1.718
    3. 3.608
    4. 1.45
12. The diagram below represents a plot of land. If four strands of wire were used to fence the plot.
    
    What length of wire was used?
    (Таkе π = ²²/₇)
    1. 330m
    2. 1320m
    3. 1250m
    4. 1600m
13. A room measures 12m by 8m by 3m. Its walls were painted green. What is the area painted?
    1. 412m²
    2. 288m²
    3. 216m²
    4. 120m²
14. What is the sum of the vertices and faces of an open cuboid?
    1. 18
    2. 17
    3. 13
    4. 10
15. Below is a travel table from Kakamega to Bungoma.
    
    John started his journey from Kakamega to Bungoma but stopped at Ekero to get lunch. How much more fare did he pay than if he had travelled straight?
    1. Shs 70
    2. Shs 93
    3. Shs 216
    4. Shs 123
16. The hire purchase price of a motorbike was 25% more than its marked price. A customer bought it by paying a deposit of Shs 30000 and 8 equal installments of Shs 5000. Calculate the marked price of the motorbike.
    1. Shs 84000
    2. Shs 56000
    3. Shs 40000
    4. Shs 14000
17. Muhandia bought the following items from a shop:
    2³/₄kg of rice @ shs 120.00
    4 loaves of bread for shs 160.00
    ³/₄ kg of sugar@shs 130.00
    How much did she add the shopkeeper if she gave 5-one hundred shilling notes?
    1. Shs 587.50cts
    2. Shs 412.50cts
    3. Shs 97.00cts
    4. Shs 87.50cts
18. What is the value of
    3a(b+c) + ab
          a+b
    where a = 3, b=a-1 and c=2b?
    1. 60
    2. 54
    3. 12
    4. 10⁴/₅
19. Seth deposited Shs 180000 in a bank which gave him a simple interest of Shs 7200 after 1 year. At what rate per annum were the charges?
    1. 4%
    2. 6%
    3. 12%
    4. 15%
20. Jane woke up at 6:15a.m after sleeping for 8 hours and 30 minutes. At what time did she go to bed in 24 hour clock system?
    1. 0945hrs
    2. 1015hrs
    3. 2215hrs
    4. 2145hrs
21. What is the value of ¹/₄ + ¹/₂ of ¹/₂ + (²/₃ - ¹/₆)?
    1. ⁹/₁₆
    2. ³/₄
    3. 1¹/₆
    4. 1¹/₂
22. Eight pupils of Mukambi Primary School scored the following marks in a Mathematics test: 80%, 60%, 64%, 54%, 48%, 70%, 80% and 76%. What is the modal score?
    1. 56%
    2. 67%
    3. 70%
    4. 80%
23. What is the value of
    5p + 4 < 4p - 6 ?
         3           2
    1. p > 13
    2. p> 15
    3. p<31
    4. p>40
24. Construct a triangle PQR such that line PQ 6cm, angle PQR = 50° and angle PRQ 60°. What is the measure of line PR?
    1. 9.0cm
    2. 6.8cm
    3. 6.1cm
    4. 5,2cm
25. On a map whose scale is 1:25000, a rectangular piece of land measure 6cm by 8cm. What is the area of the plot in hectares?
    1. 3
    2. 48
    3. 300
    4. 6
26. Five labourers were paid a total of Shs 9000 after working for 6 days. How much money will the same number of people be paid if they work for 30 days?
    1. Shs 54000
    2. Shs 45000
    3. Shs 36000
    4. Shs 1800
27.  A square photograph of area 81cm² was enclosed in a square frame of side 11cm as shown below.
    
    What is the width of the frame?
    1. 1cm
    2. 2cm
    3. 4cm
    4. 8cm
28. The diagram shown below is a closed cylinder.
    
    What is its surface area? (Тakе π =²²/₇)
    1. 1188cm²
    2. 3080cm²
    3. 1230cm²
    4. 6169cm²
29. The pie chart below shows how Shikuku used his piece of land.
    
    If tea is grown in an area covering 7150 square metres. How much more land is used for grazing than for beans?
    1. 660m²
    2. 330m²
    3. 6160m²
    4. 6490m²
30. Roy paid Shs 8000 for a camera after a discount of 20% had been allowed. How much more could he have paid if he had been allowed a discount of 10%?
    1. Shs 1000
    2. Shs 4000
    3. Shs 9000
    4. Shs 10000
31. A tractor's wheel has a radius of 84cm. If it travels a distance of 6336cm, how many revolutions will it make?
    1. 12
    2. 24
    3. 36
    4. 84
32. Bonny bought a bicycle for Shs 3200. He later sold it making a profit of 10%. For how much did he sell it?
    1. Shs 2880
    2. Shs 3310
    3. Shs 3520
    4. Shs 3210
33. A salesman earns a commission of 5% of the value of goods he sells above. Shs10000. One day he sold goods worth Shs 50000, how much did he get as commission?
    1. Shs 2000
    2. Shs 1600
    3. Shs 2500
    4. Shs 6000
34. In the figure below, line AB is parallel to line CD. Angle FAE= 47° and angle AFG = 122°.
    
    What is the size of angle FED?
    1. 47°
    2. 58°
    3. 61°
    4. 75°
35. A train 600m long took 2 minutes to completely pass by a signal. What is its speed in km/h?
    1. 5km/h
    2. 18km/h
    3. 30km/h
    4. 300km/h
36. A half of the population in a country is 36404235. If in 10 year's time there will be 9565115 newborns. What will be the new population in the country?
    1. 36404245
    2. 45969350
    3. 72808470
    4. 82373585
37. What is the ratio 2:5 expressed as a decimal correct to 3 decimal places?
    1. 4.500
    2. 2.50
    3. 0.286
    4. 0.400
38. Which one of the following properties is true for a right angled triangle?
    1. The largest angle is adjacent to the longest line
    2.  The largest angle is opposite the smallest angle
    3. Two of its sides are perpendicular to each other
    4. Interior angles are complementary 
39. Peter used a ladder to paint the top of a wall. The bottom of a ladder is 6m away from the wall. The ladder touched the wall at a height of 8m, what was the length of the ladder?
    1. 12m
    2. 10m
    3. 15m
    4. 13m
40. A cylindrical tin of diameter 21cm is filled with milk to a height of 15cm.
    
    What is the amount of milk in the container in litres?
    (Тakе π =²²/₇)
    1. 5192.775 litres
    2. 519.2775 litres
    3. 51.92775 litres
    4. 5.192775 litres
41.  The figure below is a triangular prism.
    
    What is its volume in cm³?
    1. 1440cm³
    2. 1920cm³
    3. 2400cm³
    4. 4800cm³
42. Mark had a circular shamba whose radius was 21m. He fenced it using posts with 2m intervals. How many posts did he use if he left a gate measuring 2m?
    1. 32
    2. 64
    3. 33
    4. 66
43. What is 843.9972 rounded off to the nearest hundredths?
    1.  843.99
    2. 844.00
    3. 844.000
    4. 844.99
44.  What is the product of GCD and the LCM of 24, 30 and 42?
    1. 168
    2. 120
    3. 5040
    4. 280
45. What is the value of n in the equation 5n+3(n-4)=36?
    1. 8
    2. 6
    3. 5
    4. 3
46. Mjomba travelled from his home to the shopping centre as shown below.
    
    What was the difference in speed of travel before the stop and after his stop in km/h?
    1. 33¹/₃
    2. 40
    3. 66²/₃
    4. 6²/₃
47. A trader has 5 tonnes of salt. She packed the salt into 250g packets. How many packets did she get? 
    1. 20000
    2. 5000
    3. 100
    4. 50
48. Using a pair of compasses and a ruler, construct a triangle UVW such that VW = 7cm, UV = 8cm and UW = 6cm. Draw a circle which passes through U, V and W.
    What is the length of the radius of the circle?
    1. 2.0cm
    2. 2.1cm
    3. 3.9cm
    4. 4.2cm
49. The stack below was dipped in a red dye.
    
    How many cubes could be painted 3 sides?
    1. 12
    2. 6
    3. 8
    4. 54
50. The shapes below show a sequence of a pattern.
    
    Which of the following will be the next in the pattern?
    

MARKING SCHEME