Mathematics Questions and Answers - KCPE 2023 Prediction Papers Set 1

1. What is 3197619 written in words?
   1. Three million one hundred and ninety seven thousand six hundred and nineteen.
   2. Three million one and ninety seven thousand six hundred and nineteen. 
   3. Three million one hundred and seventy six thousand six hundred and nineteen.
   4. Thirty one million one hundred and ninety seven thousand six hundred and nineteen.
2. What is 878.9952 rounded off to the nearest hundredths?
   1. 878.00
   2. 878.90
   3. 879.00
   4. 879.90
3. What is the difference in value between the total values of digits 6 and 8 in the number 2367854?
   1. 60000
   2. 850
   3. 6700
   4. 59200
4. What is the value of
   180 ÷ 12 x 20 x 28 ÷ 56 + 7 − 2?
   1. 155
   2. 515
   3. 154
   4. 145
5. What is the value of x in ³/₅x + x − 1 = 5
                                                        2
   1. 4
   2. 5
   3. 4⁷/₁₁ 
   4. 4¹/₁₁ 
6. Which of the following decimals represents 4:57
   1. 0.8
   2. 5.9
   3. 4.9
   4. 0.45
7. Which one of the following statements is correct?
   1. ²/₇ > 0.28
   2. 0.28 < ²/₇ 
   3. ²/₇ < 0.28
   4. ²/₇ = 0.28
8. The area of a square cardboard is 1024cm². What is the perimeter of the cardboard?
   1. 4096cm
   2. 265cm
   3. 128cm
   4. 144cm
9. Richard bought the following items from a shop;
   4 packets of milk @ sh. 60
   3kg of tomatoes for sh. 180
   4 rolls of tissue paper @sh. 35
   21/₂ kg of onions @ sh. 60 per kg
   If he paid with sh. 1000note, how much balance did he receive?
   1. Sh. 290
   2. Sh. 353
   3. Sh. 710
   4. Sh. 565
10. What is the value of
     1¹/₂ − ¹/₄ × 1¹/₃   ?
      1¹/₃ + ¹/₆ + ¹/₂ 
    1. 1
    2. ⁷/₁₀ 
    3. ⁷/₁₈ 
    4. 1¹⁷/₁₈ 
11. A community function was attended by 269 men, 1081 women and 4036 children. How many more children than adults were at the function?
    1. 5836
    2. 2955
    3. 1356
    4. 2686 
12. Below are lines meeting at different points.
    
    What is the measure of angle EDB?
    1. 99°
    2. 60°
    3. 120°
    4. 123°
13. A meeting started at 8.45am. The meeting ended after 6hours 55minutes. At what time did the meeting end?
    1. 3.40pm
    2. 3.40am
    3. 2.40pm
    4. 3.00am
14. What is the next number in the pattern
    8¹/₂, 4¹/₄, 2¹/₈, 1¹/₁₆, _____________________?
    1. ¹/₄ 
    2. ¹⁷/₃₂ 
    3. ¹/₈ 
    4. ³²/₁₇ 
15. The pie chart below represents how a farmer used his 12 hectare farm.
    
    How many more hectares did he use for growing beans than maize?
    1. 3
    2. 2
    3. 5
    4. 1
16. Nanjala bought 240 fruits at sh. 15 each. She paid sh. 400 for transport to the market. She sold the fruits and made 50% profit. What is the selling price for each fruit?
    1. Sh. 25.00
    2. Sh. 22.50
    3. Sh. 24.00
    4. Sh. 16.70
17. A playing field is rectangular in shape. The length is 96m and each of the diagonals is 100m long.
    
    What is the width of the playing field?
    1. 98m
    2. 28m
    3. 196m
    4. 56m
18. Hussein had 8 one thousand shilling notes, 7 five hundred shilling notes and 15 two hundred shilling notes. He changed all the money into five hundred shilling notes. How many notes did he get?
    1. 145
    2. 290
    3. 29
    4. 60  
19. Three bells ring at intervals of 15 minutes, 30 minutes and 45 minutes respectively. If the bells rang together at 9.45am, at what time would the bells ring together again? 
    1. 11.15pm
    2. 1.30pm
    3. 10.15am
    4. 11.15am
20. Ngombe is paid a basic salary of sh. 36000. For any sales above sh. 150000, he is paid a commission of 5%. In one month he sold goods worth sh. 480000. How much altogether did he earn that month?
    1. Sh. 52500
    2. Sh. 31500
    3. Sh. 16500
    4. Sh. 60000
21. A section of a road measuring 4km is represented by a length of 10cm. Which one of the following is the scale of the map?
    1. 1:400
    2. 1:4000
    3. 1:40000
    4. 1:400000
22. Japheth made an open cylindrical container with metal sheets. The internal diameter of the container is 42cm and the height is 60cm. He painted all the internal surfaces. What is the total area painted? (Тakе л = ²²/₇ )
    1. 10692cm²
    2. 7920cm²
    3. 83160cm²
    4. 9306cm²
23. In a school the number of workers is r. The number of learners is eight times the number of teachers. The number of workers is nine less than the number of teachers. How many people are in the school?
    1. 10r − 63
    2. 10r +81
    3. 10r − 81
    4. 10r + 18
24. A milk factory processed 2500litres of milk. 0.78 of the milk was sold to supermarkets while 0.3 of the remainder was donated to nearby schools. The remaining amount of milk was given to the factory staff. How many litres of milk was given to the staff?
    1. 505
    2. 1950
    3. 156
    4. 385
25. Twelve people can complete a construction in 24 days. If 4 of the people failed to turn up, how many more days would it take the remaining people to complete the construction?
    1. 12
    2. 8
    3. 16
    4. 36
26. Mwethya used ¹/₆ of her salary on transport, ¹/₃ on food, ¹/₄ of the remainder on rent and saved the rest. If she saved sh. 6000, how much did she spend on both transport and food?
    1. Sh. 6000
    2. Sh. 5000
    3. Sh. 8000
    4. Sh. 4000 
27. The cash price of a table is sh. 40800. The hire purchase price is 20% more than the cash price. Mutuku bought it on hire purchase terms. He paid a deposit and the balance in 18 equal monthly intalments of sh. 1450 per month. How much deposit did he pay?
    1. Sh. 14700
    2. Sh. 489600
    3. Sh. 26100
    4. Sh. 22860
28. A supermarket uses 8 bottles of hand sanitizer everyday to sanitize the customers. Each bottle contains 250ml. How many litres of the sanitizer did the supermarket use in the month of February 2020?
    1. 60
    2. 62
    3. 56
    4. 58
29. Nadia made a profit of sh. 9600 in the month of December. This was a 20% increase from November. How much profit did she make in November? 
    1. Sh. 7600
    2. Sh. 10560
    3. Sh. 11500
    4. Sh. 8000
30. Chepkorir had two tonnes of sugar. He repacked the sugar into 500 grams packets. How many packets did he obtain?
    1. 400
    2. 4000
    3. 40000
    4. 400000
31. Draw a triangle ABC where AB = 6.5cm, BC= 7cm and AC = 5.3cm. Bisect angle CAB. Drop a perpendicular from C to AB. Let the perpendicular line and this bisector to meet at E. What is the measure of angle CEA?
    1. 162°
    2. 54°
    3. 126°
    4. 234°
32. In the year 2015, 6th January was on a Tuesday. Which day was it on 14th May of the same year?
    1. Saturday.
    2. Wednesday.
    3. Thursday.
    4. Friday.
33. What is the value of m in
    ³/₂(2m + 4) + 6 = 10?
    1. 1
    2. 2
    3. 5
    4. 4 
34. Machogu borrowed sh. 80000 from a financial institution that charged a simple interest at the rate of 21% per annum. How much did he pay back after 2 years?
    1. Sh. 117128
    2. Sh. 113600
    3. Sh. 33600
    4. Sh. 37128 
35. What is the value of
    12.0 − 0.6 of 0.4 + 3.24 ?
                  0.3
    1. 5
    2. 2.6
    3. 26
    4. 50
36. The figure below represents a half cylindrical solid. The diameter is 14cm and it is 30cm long.
    
    What is the volume of the solid? (Тake π = ²²/₇)
    1. 4620cm³
    2. 660cm³
    3. 1234cm³
    4. 2310cm³
37. The figure below represents a garden. It is in the shape of a quarter circle of radius 14m and a trapezium.
    
    What is the area of the garden? (Таkе л = ²²/₇)
    1. 518m²
    2. 770m²
    3. 462m2²
    4. 500m²
38. The perimeter of a rectangular farm is 442m. The length of the farm is 128m. What is the width of the farm?
    1. 186m
    2. 93m
    3. 110m
    4. 157m
39. The table below shows an adult's fare in shillings from town J to P. Children pay half the fare for adults.
    
    Aketch travelled with his three children from L to P through N. How much did they pay?
    1. Sh. 425
    2. Sh. 300
    3. Sh. 350
    4. 210
40. Joshua paid sh. 5980 for a mobile phone after getting a discount of 8%. What was the marked price of the phone?
    1. Sh. 5501
    2. Sh. 6500
    3. Sh. 6099
    4. Sh. 6459
41. The following are properties of a certain quadrilateral;
    1. Two pairs of parallel lines
    2. All angles are equal
    3. Diagonals are equal
    4. Diagonals do not bisect at right angles
    5. Opposite sides are equal and parallel
       Which quadrilateral has the above properties?
       1. Square.
       2. Rhombus.
       3. Parallelogram
       4. Rectangle.
42. A tank of water is 3.5m long, 2.5m wide and 3m high. How many litres of water can the tank hold when full ?
    1. 262.5
    2. 26.25
    3. 262.5
    4. 26250
43. The perimeter of the isosceles triangle below is 90cm. Two of the sides are 25cm and 40cm.
    
    What is the area of the triangle?
    1. 500cm²
    2. 600cm²
    3. 300cm²
    4. 150cm²
44. In a class of 40 pupils, the mean score in a test was 65marks. The mean score for the last 30 pupils was 58. What is the total score for the first 10 pupils?
    1. 1740
    2. 2600
    3. 86
    4. 860
45. The diagram below is a rhombus. BD and AC are the diagonals. Angle EDC = 20°.
    
    What is the size of angle BAD?
    1. 140°
    2. 110°
    3. 40°
    4. 70°
46. Amos drove from Nairobi to Kisumu a distance of 336km at a speed of 84km/h. On his way back, he drove at a speed of 56km/h. What was his average speed for the whole journey?
    1. 70km/hr
    2. 24km/hr
    3. 67.2km/hr 
    4. 33.6km/hr
47. The figure below represents the net of a solid
    
    Which one of the following can be formed from the net above?
    1. Square prism.
    2. Triangular pyramid.
    3. Triangular prism.
    4. Square pyramid.
48. A 33 seater bus and 11 seater matatu were to transport 319 people to a function. If the matatu made an extra trip than the bus, how many people did the matatu transport?
    1. 23
    2. 77
    3. 88
    4. 231
49. Construct a triangle JKL in which JK = 5cm, JL = 7cm and angle KJL = 115°. Draw a circle to touch the vertices of the triangle. What is half the diameter of the circle? 
    1. 14.4cm
    2. 7.4cm
    3. 10.2cm
    4. 5.6cm
50. The graph below represents the journey's of Mose and Alex driving in opposite directions
    
    How far from town M was Alex when Mose stopped resting?
    1. 400km
    2. 350km
    3. 150km
    4. 09km

MARKING SCHEME

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