Wednesday, 05 July 2023 13:28

# Mathematics Questions and Answers - KCPE 2023 Prediction Papers Set 3

1. What is three million, five hundredand thirty six thousand, two hundred and twenty four and six thousandths?
1. 3 536 224.6000
2. 3 536 224.060
3. 3 536 224.666
4. 3 536 244.006
2. What is the product of the value of digit 4 and digit 7 in the number 4 672?
1. 4 070
2. 280 000
3. 3 930
4. 4 072
3. What is the number 39.49962 rounded off to the nearest thousandth?
1. 39.400
2. 39.500
3. 39.00
4. 40.00
4. What is the value of
132 −2(23 − 12) + 33?
11
1. 15
2. 43
3. 13
4. 165
5. What is the value of
¼ of 7/10 − 1/8  ?
¼ + 1/5 ÷ 2/5
1. 15
2. 1/20
3. 3/4
4. 1/15
6. What is the value of
4.5 − 2.4 x 0.6 + 2.94  ?
8.4 ÷ 1.4
1. 2
2. 6
3. 1
4. 12
7. What is the value of (1½)2 + √6¼?
1. 4¾
2. 7¾
3. 8½
4. 4
8. The following are prime factors of three numbers
1. 23 × 32
2. 25
3. 22 × 32
What is the difference in their LCM and GCD?
1. 284
2. 288
3. 4
4. 292
9. Which of the following is the next number in the sequence below? 0, 1, 2, 3, 5, 8, 13,
1. 15
2. 17
3. 19
4. 21
10. Arrange the fractions 2/93/84/55/6, and 3/7 from the largest to the smallest.
1. 2/93/83/74/55/6,
2. 5/63/74/5, 3/82/9,
3. 5/64/5, 3/7,3/82/9,
4. 2/9, /73/85/64/5,
11. Kasyoki had 2400 animals in his farm. 5/12 of the animals were cows, the goats were ¾  of the remainder and the res were sheep. How many sheep were in his farm?
1. 850
2. 1 000
3. 350
4. 1 800
12. In an election the winning candidate got 0.36 of the votes. The second candidate got 0.18 and the third candidate got 0.5 of the remainder. If there were 75 spoilt votes and the fourth candidate got the rest 2225 votes. How many votes did the winning candidate get?
1. 2 300
2. 10 000
3. 1 800
4. 3 600
13. What is the value of x in the equation
3(x − 2) + 1½ = 3?
4
1. 8
2. 4
3. 6
4. 3
14. What is the simplest form of
2/7 (21x − 14 y) + 3/4 (20x + 12y)?
1. 21x + 13y
2. 21x − 5y
3. 9x + 5y
4. 21x + 5y
15. What is the value of
3x + 2(4z − 6y)
3y
where x = 2, y = 1/2x and z =x+y?
1. 18
2. 3
16. Makawaka is three times as old as his son. The wife is 12 years older than the son. If the age of the wife is x years. What will be the sum of their ages, 6 years to come?
1. 5x − 16
2. 5x  −  30
3. 21/3x + 34
4. 11/2x + 16
17. Solve the inequality below.
3x −  2(x+4) > 4
1. x > 22/5
2. x = 22/5
3. x > 12
4. x = 4
18. Achieng produced 2 400 bags of maize in the year 2022. This was 20% decrease from the harvest of the year 2021. How many bags were produced in the two years?
1. 3 000
2. 5 400
3. 1 920
4. 4 320
19. A plot of land is in a shape of an isosceles triangle. Two of the sides measures 50cm. If the height is 48cm, what is the area of the triangle?
1. 2 400cm2
2. 1 200cm2
3. 1 344cm2
4. 672cm2
20. Karani's piece of land measures 420m by 360m. The land is to be fenced using posts placed 5m apart each. How many posts are required to fence the land if a gate of 10m if left?
1. 311
2. 312
3. 156
4. 155
21. A wheel covered 17.6km after making 20000 revolutions. What is the radius of the wheel?
1. 28cm
2. 56cm
3. 14cm
4. 140cm
22. The following are characteristics of a certain quadrilateral.
1. Diagonals are unequal.
2. Opposite angles are equal
3. Diagonals bisect at right angle.
4. Interior angles add upto 360°
1. Rhombus
2. Parallelogram
3. Trapezium
4. Square
23. The figure below shows a water trough.

What is its surface area?
1. 616cm2
2. 4 400cm2
3. 2 816cm2
4. 5 016cm2
24.  A cylindrical water tank is 12320cm3. If the height is 20cm, what is the closed surface area of the tank when closed?
1. 616
2. 1 760
3. 1 232
4. 2 992
25. The figure below is a cylindrical tank of diameter 28cm through which a square hole of sides 12cm.

What is the volume of the wood left after the hole is made?
1. 14 160cm3
2. 2 464cm3
3. 18 480cm3
4. 4 320cm3
26. A family uses 3-500ml packets of milk daily. How many deciliters of milk did the family consume in the month of January, February and March year 2020?
1. 1350dl
2. 135dl
3. 1365 dl
4. 136.5dl
27. A square based tank of sides 0.8m holds 768 litres of water. What is the height of the tank?
1. 1.2cm
2. 12cm
3. 120cm
4. 1200cm
28. Jasmin bought the following items from a shop.
• 2kg sugar @180
• 32kg rice @ sh. 120
• 5 rolls of tissue for sh. 160
• 5 pieces of bathing soap @sh.60
If the teacher paid using 3-500 shilling notes, how much more should she add the shopkeeper to get a balance of sh.300?
1. Sh.1 240
2. Sh.260
3. Sh.40
4. Sh.60
29. A shopkeeper had the following denominations in his cash box.
 Value Number of notes Sh. 1000  Sh. 500 Sh.200 Sh. 100  Sh50 12      18      24      30      60
He decided to change half of the money into sh.100 notes and the other 20 half to sh.50 notes. How many notes did he get?
1. 318
2. 636
3. 159
4. 477
30. Hannah bought 5 dozens of glass at sh.480 per dozen. Twenty glasses broke and sold the remaining glasses at sh.72 each. What percentage profit did she make if a dozen holds twelve glasses?
1. 20%
2. 35%
3. 30%
4. 10%
31. Hassan was given 5% discount for a generator and paid sh.47 500. How much less would he have paid if he was given 72% discount?
1. Sh.50 000
2. Sh.46 250
3. Sh.3 750
4. Sh.1 250
32. Wawira borrowed sh. 240 000 from a bank that charge 6% compound interest. How much did she pay in total after two years?
1. Sh.254 400
2. Sh.269 664
3. Sh.28 800
4. Sh.268 800
33. The cash price of a TV was sh. 45 000. The hire purchase was 20% more than the cash price. Ochieng paid sh. 18 000 and the rest in 15 equal monthly instalments. How much was each monthly instalment?
1. Sh.1 800
2. Sh.2 400
3. Sh.2 000
4. Sh.3 600
34. A salesman carns a basic salary of sh. 15 500. He is also given 5% commission on all the sales he makes above sh.50 000. In one month he earned sh.30 000. How much was the sales that month?
1. Sh.290 000
2. Sh.340 000
3. Sh.240 000
4. Sh. 190 000
35. In a farm the number of goats is 3200. The number of sheep is five times the number of goats but 2 000 more than that of the cows. The number of camels and donkeys put together is half the number of cows. How many animals are in the farm altogether?
1. 40 200
2. 38 200
3. 36 000
4. 42 200
36. The ratio of cows, camels and donkeys on Kamunge's farm is 3:2:1. If there are 900 camels, what is the total number of cows and donkeys?
1. 1800
2. 1200
3. 300
4. 900
37. A company employed 36 men to do a job in 48 days. How many more days did the job take if 12 men failed to turn up for the job?
1. 72 days
2. 36 days
3. 18 days
4. 24 days
38. The mass of an empty carton is 1.2kg. The carton is packed with 25 - 800g bars of soap. What is the mass of such 50 cartons?
1. 21.2kg
2. 1.060kg
3. 1000kg
4. 20kg
39. A rectangular piece of land measuring 800m by 400m is drawn to scale 1:20 000. What is the area of the scale drawing in cm2?
1. 12cm2
2. 8cm2
3. 32cm2
4. 16cm2
40. The mean of six numbers is 91/3 . Five of these numbers are 10, 6, 14, 16 and 6. What is the median of the six numbers?
1. 10
2. 8
3. 6
41. An aeroplane landed at JF Kennedy airport 0025hrs Tuesday flying 191/4 hrs from JKIA Nairobi. At which day and time had it left JKIA Nairobi?
1. Monday 7.40pm
2. Monday 5:10am
3. Tuesday 7.40pm
4. Tuesday 5:10pm
42. A motorist cycled for 30 minutes at an average speed of 5m/s. He stayed in the market for 1/3 an hour. He cycled back taking 25 minutes to reach home. What was the average speed for the whole journey in m/s?
1. 5
2. 6
3. 3
4. 4
43. A school closed for third term holiday on 28th October 2022 and opened on 2nd January 2023. For how many days were they at home?
1. 64
2. 65
3. 66
4. 67
44. The table below shows how Mutunga scored in his exam out of 50.
 Subject Eng Math Kisw S/RE Sci Score out of 50 39 30 36 42 33
If the information above was placed on a pie chart, what angle would represent the difference between S/RE and Maths?
1. 48°
2. 60°
3. 24°
4. 84°
45. In the figure below line AB is parallel to line CD. Angle ABX=34° and angle XDC= 48°.

What is the size of angle CAB?
1. 97°
2. 48°
3. 49°
4. 82°
46. The figure below is a parallelogram JKLM. From point M drop a perpendicular to meet line JK at. X. Join point X to point L.

What is the length of line XL?
1. 7.5cm
2. 3.9cm
3. 4.5cm
4. 6.2cm
47. The table below shows the number of children per family at Nyumba bora estate.
 No. of families 3 4 8 7 6 2 No. of children per family 0 1 2 3 4 5
How many children are in the estate
1. 30
2. 15
3. 75
4. 24
48. The figure below shows a net of a solid.
1.  Square base prism
2. Square base pyramid
3. Triangular prism
4. Triangular pyramid
49. The stack below was painted all sides except the base.

How many cubes got the paint two faces only?
1. 8
2. 4
3. 12
4. 16
50. The graph below shows the journey by two motorists Joel and Jackline. Joel left town A for mtown B at 8:00a.m while Jackline left town B for town A mat 8:00a.m

How far apart were the two motorists at 9:00a.m
1. 30km
2. 90km
3. 60km
4. 72km

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