Mathematics Questions and Answers - KCPE 2023 Prediction Papers Set 2

QUESTIONS

1. Write eighteen million one hundred and Eighty thousand and eighteen less quarter a million in figure.
   1. 18 180 018
   2. 18 018 018
   3. 18 180 018
   4. 18 430 018
2. What is the total value of digit 3 in the product of 465 and 245?0 mA
   1. Thousands
   2. Thousandth
   3. Three thousand
   4. Three hundred
3. The fractionsand are to be arranged from the largest to the smallest. What is the correct order?
   
   1. ¹/₅, ³/₇, ⁷/₉,  ⁹/₁₁ 
   2. ⁹/₁₁, ³/₇, ¹/₅, ⁷/₉ 
   3. ⁹/₁₁, ⁷/_9, ³/₇^{, 1}/₅ 
   4. ⁷/_9, ⁹/₁₁, ³/₇, ¹/₅ 
4. What is the value of the fraction
   7¹/₂ + 1¹/₄ OF 3¹/₆ ÷ 2¹/₂ ?
   
   1. 7²⁵/₃₈ 
   2. 9¹/₁₂ 
   3. 11¹/₂ 
   4. 17¹⁹/₄₈  
5. Which of the following is the sum of the next two numbers in the pattern
   11, 13, 17, 19, ________________________
   1. 27
   2. 23
   3. 50
   4. 52
6. What is the value of £10 650 onlWhat is the sum of 19.347 and 16,389 to the nearest hundredth?
   
   1. 35.736
   2. 35.74
   3. 35.746
   4. 35.73
7. What is the value of
   1.5 x 3 − 2.4 x 0.6 + 2.94
                   7.2,÷1.2
   1. 1
   2. 0.1
   3. 0.01
   4. 0.0001
8. Hassan shared his salary of sh. 36 000 as follows: 0.32 on fees, 0.11 on food, 0.13 on transport and the rest is shared equally between savings and personal development. How much more did he spend on fees than savings?
   1. Sh. 4 680.
   2. Sh. 7 920
   3. Sh. 11 520
   4. Sh. 3 600
9. In a meeting the number of men was 7 240. The number of women was a quarter of men but 6 440 less than the number of children. What was the total attendance in the meeting?
   1. 8250
   2. 17 300
   3. 10 006
   4. 9050
10. Three bells rings at an interval of 30min, 40min and 48min. The bells rang at 01130hrs. What time in am and pm did the bells ring together again?
    1. 7:30pm.
    2. 3:30pm
    3. 7:30am
    4. D. 3:30am
11. The table below shows the number of crates sold in a certain shop in one week.
    

    Day	Mon	Tue	Wed	Thur	Fri	Sat	Sun
    Number of crates	80	110		60	94	60	9

    The average number of crates sold was 90. How many more crates were soldbon Wednesday than on Sunday?
    1. 34
    2. 130
    3. 96
    4. 64
12. The area of a square plot of land is 4 225m². The plot was to be fenced using four strands of barbed wire. What is the length of the wire used?
    1. 4 225m
    2. 260m 
    3. 520m
    4. 1 040m
13. A Mandera bound bus left Nairobi on Monday 2030hrs. The journey was to take exactly 1²/₃ days. On the way the vehicle broke down and they spent three hours repairing it. At what day and time did the bus get to Mandera in 12hrs system?
    1. 3:30pm Tuesday
    2. 12:20pm Tuesday
    3. 3:30pm Wednesday
    4. 12:30pm Wednesday
14. The length of a rectangular plot of land is 3m more than that of its width. The plot has perimeter 42m.“ What is the area of the plot in arcs? 
    1. 108 arcs
    2. 120 ares
    3. 1.08 ares
    4. 1.2 ares
15. The diagram below shows two semicircles cut out from a square. 
    
    What is half of the shaded area?
    1. 784cm²
    2. 616cm²
    3. 168cm²
    4. 84cm²
16. A rectangular room measures 8m Jong, 4m wide 2m high It has two windows 0.5m by 0.4m and door measuring 2m by Im. The rest of the room was painted in the inner side. What was the area painted?
    1. 2.4m²
    2. 48m²
    3. 45.6m²
    4. 28.4m²
17. An open cylindrical container has a capacity of 73 920 litres. What is its surface area if it has height of 30cm? 
    1. 7.744cm²
    2. 73.92cm²
    3. 3 256cm²
    4. 5 544cm²
18. The figure drawn below shows a triangular prism.
    
    Calculate its volume in cm³.
    1. 3 000cm³
    2. 3 200cm³
    3. 6 000cm³
    4. 6 500cm³
19. The area of a right angled triangle is 24cm². The height of the triangle is 8cm. What is the length of the longest side?
    1. 3cm
    2. 6cm
    3. 10cm
    4. 14cm
20. A rectangular water tank measures 1.8m by 1.4m by 1.0m. How many litres does it hold when three quarters full?
    1. 2 520L
    2. 1 890L
    3. 630L
    4. 2 440L
21. A school has 120 pupils in upper primary and 240 pupils in lower primary. Pupils in lower primary arc given 3 - 2dl packets of milk a week while whose in upper primary were given 2 - 2dl packets of milk per week. How many litres of milk do they consume in two weeks?
    1. 3 840L
    2. 1 920L
    3. 384L
    4. 192L
22. Electricity poles are to be fixed at an interval of 25m apart. A total of 225 poles were used. What is the distance that was fixed with electric poles in km?
    1. 5.6km
    2. 5 600km
    3. 5.625km
    4. 5 625km
23. In the figure below line AB is parallel to line DC. Line EF is a transversal.
    
    Which of the following statement is correct?
    1. Angle (t + r) = 180°
    2. Angle (n + p) = 180°
    3. Angle (o + q) = 180°
    4. Angle (s + m) = 180°
24. What is the product of Edges, faces and bases of a square based pyramid?
    1. 200
    2. 96
    3. 270
    4. 240
25. Line AB below is a part of a parallelogram ABCD. Line BC = 6.2cm and angle BAD = 57°. Complete the parallelogram and drop a perpendicular from point D to meet line AB at X. Join line CX./
    
    Measure angle CXD.
    1. 35
    2. 113°
    3. 33°
    4. 55°
26. Work out the inequality below:
    4x − 6 + 2x < 6
        3
    1. .x > 2²/₅ 
    2. x  < 2 ²/₅ 
    3. x < 1⁴/₅
    4. x > 1⁴/₅
27. Which of the following is the simplest form of
    6(3x+2y)+3(4x+3y)  
          2(2x+3y)+5x
    
    1. 10x + 7y
       3x + 2y
    2. 30x + 21y
       9x + 6y
    3. 6x + 3y 
       9x + 6y
    4. 2x + y
       3x + 2y
28. During a class of cight party in a school, the teacher bought the following items:
    • Forty - 2dl packets of milk @ sh. 20
    • Two crates of soda @ sh. 900
    • Four packets of sweets @ sh. 120
    • Two crates of breads @ sh. 520
    • Two cakes for shs. 380
      If the teacher paid using 5 - 1000 shilling notes, how much change did he get?
      1. Sh. 500
      2. Sh. 120
      3. Sh. 1 940
      4. Sh. 4 500
29. Khadija paid sh. 7 600 for an item after getting 5% discount. How much less would he have paid if he was given 7% discount?
    1. Sh. 200
    2. Sh. 120
    3. Sh. 1 940
    4. Sh. 4 500
30. During a feed the hungry run, a total of 650 girls took part. The number of boys was ⁴/₅ that of the girls. The number of adults was  ½ the number of children. Each child contributed sh. 1 200 while each adult contributed sh. 1 800. How much money was raised from the programme?
    1. Sh. 1 404 000
    2. Sh. 1 053 000
    3. Sh. 2 100 000
    4. Sh. 2 457 000
31. What is the value of x in the equation
    x + 2 + 2(x − 2) = 3 ?
       3             4
    1. 3¹/₅ 
    2. 5³/₅ 
    3. 4
    4. 6
32. At Wangui primary school the number of pupils in the year 2021 increased by 72 pupils. If this was 12% increase from the year 2020. How many pupils were there in the year 2021?
    1. 600
    2. 672
    3. 744
    4. 720
33. Jane went for leave from 28^th December 2021 to 7^th March 2022. For how many days was she on leave?
    1. 69
    2. 70
    3. 71
    4. 68
34. Eleven pupils scored the following marks in Science: 58, 64, 38, 78, 54, 66, 86, 68, 74, 48 and 54.
    What was the sum of the mean and median?
    1. 126⁶/₁₁ 
    2. 123
    3. 62⁶/₁₁ 
    4. 64
35. Nkamani borrowed sh. 160 000 from a bank that charged 5% compound interest. How much did he pay back after two years?
    1. Sh. 174 600
    2. Sh. 176 400
    3. Sh. 176 000
    4. Sh. 174 000
36. A company hired 24 men to do a job in 54 days. How many more men should be added to have the job done in 36 days?
    1. 12 men
    2. 36 men
    3. 18 men
    4. 30 men
37. In the figure below line EC is parallel to line AD. Angle EBC = 70° BEC = 80° and angle ACE = 20°
    
    What is the size of angle BDA?
    1. 70°
    2. 50°
    3. 30°
    4. 20° 
38. Express the ratio 5:8 as a decimal.
    1. 1.6
    2. 8.8
    3. 0.6
    4. 0.625
39. The figure below shows a quadrilateral ABCD constructed to scale below.
    
    What is the measure of the interior angle ADC?
    1. 231°
    2. 130°
    3. 125°
    4. 75°
40. A cyclist cycled at an average speed of 20km/h for 2¼ hours. He then took a matatu that covered 105km in 1¾ hours. What was the average speed for the whole journey?
    1. 125km/h
    2. 37.5km/h
    3. 62.5km/h
    4. 31.25km/h
41. The pie chart below shows how Omunga spent his salary.
    
    If he spent sh. 15 000 on transport and he saved the same as rent. How much more did he spend on food than savings?
    1. Sh. 180 000
    2. Sh. 27 500
    3. Sh. 142 500
    4. Sh. 37 500
42. What is the value of
    3 (abc + 2) − 2c
          a + b + c
    a = 2b, b = c + 1, c = 2
    
    1. 11
    2. 9½ 
    3. 10
    4. 36
43. Kassim had money in the form of ot notes as follows:
    

    Value	1000	500	200	100	50
    No. of notes	4	6	5	7	12

    If he changed all the money into ten shillings coins, how many coins did he get?
    1. 930
    2. 93
    3. 465
    4. 9 300,
44. Construct a triangle LMN in which LM = 6cm, NM = 5.3cm and LN = 10cm. Draw a circle whose circumference touches the three sides LM, NM and LN of the triangle.
    Measure the diameter of the circle.
    1. 6cm
    2. 1.2cm
    3. 2.4cm
    4. 12cm
45. Njau had sh. 180 000 in a bank, he withdrew all the money after one and a half years. How much did he withdraw if the money earned simple interest at the rate of
    1. Sh. 33 750
    2. Sh. 213 750
    3. Sh. 22 500
    4. Sh. 202 500
46. The table below shows the fare in shillings from Town A to town F.
    
    Achieng her husband and their four sons travelled from A to town F via town C. How much money did she pay?
    1. Sh. 3 000
    2. Sh. 2 400
    3. Sh. 2 800
    4. Sh. 2 600
47. The marked price of a generation is sh. 120 000. The cash price is 15% less than marked price. The hire purchase included a deposit of sh. 60 000 and 15 equal monthly instalments of sh. 6 000 each. How much less than hire purchase does one pay by buying on cash terms?
    1. Sh. 48 000
    2. Sh. 150 000
    3. Sh. 102 000
    4. .Sh: 30 000
48. What is the product of the LCM and the HCF of 12, 18 and 24?
    1. 432 C
    2. 360
    3. 6 
    4. 354
49. A watch loses 5 seconds every hour. The watch was set correct on Wednesday 6:30am. What time did it. show at 6:30pm the following Wednesday?
    1. 6:15pm
    2. 6:16pm
    3. 6:29pm.
    4. 6:45pm 
50. The graph below shows journey for two motorists. Kaloki and Mugambi from Nairobi to Nakuru a distance of 120km.
    
    How far apart nwere they by 9am?
    1. 38km
    2. 42km
    3. 51km
    4. 48km

MARKING SCHEME

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