Mathematics Questions and Answers KCPE 2022 Prediction Papers Set 3

Questions

1. Which of the following number is three million two hundred and seven thousand two hundred and seventy?
   1. 3 270 207
   2. 3 207 207
   3. 3027 270
   4. 3 207 270
2. What is 2.78989 rounded off to three decimal places?
   1. 2.789 
   2. 2.790
   3. 2.799
   4. 2.780
3. Nyatoro went for holiday from 7th September to 28th December 2020. For how many days was he on holiday?
   1. 112
   2. 111
   3. 113
   4. 110
4. What is the difference between the total value of digit 6 and digit 9 in the number 26389422
   
   1. 3
   2. 599 100
   3. 600 900
   4. 638 042
5. What is the sum of edges and vertices of a triangular prism?
   1. 15
   2. 20
   3. 13 
   4. 16
6. Joel borrowed Sh.200 000 from a Sacco that charged simple interest at the rate of 6% per annum. How much in total did he pay after two years?
   
   1. Sh.24 000
   2. Sh. 12 000
   3. Sh.224 000
   4. Sh.212 000
7. What is the next number in the pattern? 0.8, 1.6, 3.2, 6.4, ___
   1. 9.6
   2. 13.8
   3. 12.4
   4. 12.8
8. What is the sum of LCM and GCD of 30,36,48?
   
   1. 726 
   2. 720
   3. 6
   4. 714
9. A rectangular plot measures 80m by 60m What is twice the length of the diagonal?
   1. 100m 
   2. 200m
   3. 120m
   4. 240m
10. Achieng’ bought the following items from a shop.
    1. 4 packets of wheat flour al sh.130
    2. 3¹/₂ kg sugar @ sh.120
    3. 3 bars of washing soap @sh.105
    4. 1 kg salt for sh.45
    5. 3 rolls of tissue for sh. 750
       If she paid using 2 - 1000 shilling notes, how much balance did she get?
       1. Sh. 1 450
       2. Sh.1 750
       3. Sh.550
       4. Sh.250
11. The triangle ABC below has been drawn to scale
    
    What is the size of angle BCA?
    1. 47°
    2. 88°
    3. 46°
    4. 90°
12. What is the value of (0.5 ÷ 0.2+0.25)/(1.25 x 2)
    1. 0.11
    2. 1.1
    3. 11
    4. 110
13. In the year 2019 Wafula harvested 840 bags of maize. In the year 2020 the harvest increased by 40%. What if he sold all the maize for the two years at sh.2 400. How much money did he get?
    1. Sh.2016
    2. Sh.4 838 400
    3. Sh.2 822 400
    4. Sh.1 176
14. The fractions ³/₇ , ⁴/₉, ³/₈ and ⁵/₆ are to be arranged in order from the smallest to the largest. What is the correct order?
    1. 5/6, 4/9, 3/7, 3/8 
    2. 4/9, 3/8, 3/7, 5/6
    3. 5/6, 3/7, 3/8, 4/9
    4. 3/8, 3/7, 4/9, 5/6
15. A distance of 9km is represented by 3cm on a map. What is the scale used?
    1. 1:3 000
    2. 1:30 000
    3. 1:300 000
    4. 1:3 000 000
16. What is the value of 7(82-62) +81 ÷ 27?
    1. 199
    2. 17
    3. 1375
    4. 209
17. What is the value of
    3(2x+4) -6 = 8 ?
        4 
    1. 71/3 
    2. 82/3
    3. 62/3
    4. 32/3
18. Njagi sold an item for sh. 1 530 after making a 15% loss. What was the cost price of the item?
    1. Sh.1 830
    2. Sh.2 400
    3. Sh.2000
    4. Sh. 1 800
19. Twenty four litres of milk was shared equally to 60 pupils. How many decilitres did each get?
    1. 0.4
    2. 4 
    3. 40
    4. 400
20. What is the simplest form of the expression
    3(2x+4y)+2(4x+3y)
         2x-2y+4y
    1.     14x+18y      
             2x+2y
    2.      7x+9y      
            x+y
    3.    7x+9y   
           x+y
    4.    14x+18y   
           2x+6y
21. A certain quadrilateral has the following properties.
    1. Some angles are equal.
    2. Has all sides equal.
    3. Diagonals bisect each other at right-angle.
    4. Two sets of parallel lines.
       The quadrilateral described above is a
       1. square
       2. Rhombus
       3. Parallelogram 
       4. Rectangle
22. An aeroplane flew from Cairo on Tuesday at 9:10pm and landed at Pretoria 8 hours later. At what time did the plane land at Pretoria?
    1. Wednesday 5:50pm
    2. Tuesday 5:50pm
    3. Wednesday 5:50am
    4. Tuesday 5:50am
23. Terry and Tracy shared some money such that Terry got 3/7 of the money. What is the ratio of Tracy share to the total?
    1. 3:4 
    2. 4:3 
    3. 3:7
    4. 4:7
24. What is the surface area of a closed cylinder whose diameter is 28cm and a height of 20cm, given in m2
    1. 0.2992m²
    2. 2992m²
    3. 1760m²
    4. 0.1760m²
25. Karisa paid sh.10 560 for a generator after getting 12% discount. What was the marked price?
    1. Shs 15 000
    2. Shs 10 800
    3. Shs 12 000
    4. Shs 9 292.80
26. The diagram below shows an isosceles triangle whose perimeter is 100cm. Lin AB=32cm
    
    What is the area of the triangle?
    1. 960cm
    2. 480cm
    3. 120cm 
    4. 544cm
27. Nine pupils scored the following marks in a test.
    47.32. 37, 39, 43, 42, 36, 38
    What was their mean score?
    1. 38
    2. 39
    3. 42
    4. 37
28. Ahmed is twice as old as Hassan but eight years younger than Kassim. It Hassan is r years, what will be the sum of their ages in 6 years to come?
    1. 5x +26
    2. 5.x +8
    3. 4x +26 
    4. 4x+18
29. In the figure below line ABC is a straight line. Line EB=EC-ED. Line BE is parallel to line CD.
    
    What is the size of angle BCD?
    1. 63°
    2. 54°
    3. 117°
    4. 126°
30. The hire purchase price of a generator includes a deposit of sh.4 000 and eight equal monthly instalments of sh 2500. If the hire purchase price of the generator is 20% more than the marked price, what is the marked price?
    1. Sh.24 000
    2. Sh.28 800
    3. Sh.30 000
    4. Sh.30 000
31. The perimeter of a square is 224m. What is its area?
    1. 56m² 
    2. 50176m²
    3. 112m²
    4. 3136m²
32. What is the value of
    8(52-32)+9 x 4
         √16
    1. 164 
    2. 82
    3. 20.5
    4. 41
33. The figure below shows a quarter a circle cut out from a square.
    
    What is the area of the remaining part of the square? (Take a=3.14)
    1. 125cm²
    2. 1600cm²
    3. 344cm²
    4. 314cm²
34. An open rectangular tank measures 1.2m long by 0.9m wide by 2.0m high. What is its capacity when full?
    1. 2.16 
    2. 21.6
    3. 216
    4. 2160
35. At a prayer rally there were 2850 children. The number of women was half the number of men who were a third of children. How many people attended the prayer rally altogether?
    1. 3800
    2. 4275
    3. 4700
    4. 4550
36. Jane a saleslady earns a basic salary of sh.12 000. She is also paid a 5% commission on all the sales she makes. How much money did she earn in a month she sold goods worth sh.250 000?
    1. Sh.24 500
    2. Sh.12 500
    3. Sh.125 000
    4. Sh.30 000
37. The pie chart below shows the number of animals at Hassan farm.
    
    If there are 1400 goats how many more chicken than cows are there?
    1. 1000 
    2. 200
    3. 1200
    4. 7200
38. A tank was full of water. When 144 litres are added the tank becomes full. What is the capacity tank when full?
    1. 2160
    2. 1232
    3. 864 
    4. 4320
39. Which of the following sets of measurement will form a right angled triangle?
    1. 5m, 12m, 1.3m
    2. 10m, 24m. 26m
    3. 8m, 16m, 17m
    4. 9m, 12m, 16m
40. Jamal bought a cow at sh.35 000. During the dry season he sold it making 15 % loss. At what price did he sell the cow?
    1. Sh 40 250
    2. Sh 28 750
    3. Sh 29 750
    4. Sh 24 500
41. Joy and Josephine shared some money in the ratio 3:4. If joy got sh 4000 less than Josephine, how much did they share altogether?
    1. Sh. 28 000
    2. Sh. 12 000
    3. Sh. 21 000
    4. Sh. 16 000
42. A wheel has a radius of 28em. how many kilometres docs it cover if it makes 2000 revolution?
    1. 3.52km
    2. 352km
    3. 3520km
    4. 352000km
43. The table below shows the fare in shillings for a bus in a certain route.
    

    A
    120	B
    170	120	C
    230	190	120	D
    320	270	200	130	E

    
    Charles, his wife and their two daughters travelled from town A to town E via C. How much did they pay altogether if the children paid half the fare?
    1. Sh.510
    2. Sh.600
    3. Sh.1110
    4. Sh.960
44. Kawira travelled from Meru to Isiolo a distance of 432km in four hours. What was his average speed in m/s?
    1. 108m/s
    2. 30m/s
    3. 108km/h
    4. 30km/h
45. The figure below shows Karani's farm which is in a shape of a trapezium.
    
    What is its area in hectares?
    1. 9600ha
    2. 96ha
    3. 9.6ha
    4. 0.96ha
46. The table below shows the shoes sold al bata shoe shop in one week. Use it to answer question 46.
    

    Shoe Size	4	5	7	8	9	10
    Pairs sold	15	14	26	19	12	3

    What was the modal shoe size?
    1. 6
    2. 26
    3. 10
    4. 7
47. A meeting was attended by 300 people, out of those 0.14 were men, 0.2 were women and the rest were children. How many more children than women were there?
    1. 138
    2. 156
    3. 198
    4. 258
48. Write 0.047 as a percentage?
    1. 4.7%
    2. 47%
    3. 0.47% 
    4. 470
49. Which of the following is the next shape in the pattern?
    
    The graph below shows the journey of Kareke from Tigania to Igembe a distance 140km. After travelling for 40km he rested and resumed the journey after 30 minutes.
    
50. What was the average speed for the second part of the journey?
    1. 20kn/h
    2. 40km/h
    3. 31 km/h
    4. 35km/h

Marking Scheme

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