Mathematics Questions and Answers KCPE 2022 Prediction Papers Set 4

Questions

1. What is 7,090.528 written in word?
   1. Seven million ninety thousand five hundred and twenty eighty.
   2. Seventy million ninety thousand five hundred and twenty eight.
   3. Seven million nine hundred thousand five hundred and twenty eight.
   4. Seven hundred and ninety thousand five hundred and twenty eight.
2. What is the value of (882-966 ÷23)/(12 x 14)?
   1. 60
   2. 70 
   3. 50
   4. 5
3. What is the value of (1/4 of 7/10- 1/8)/(1/4+1/5÷2/5)
   1. 15 
   2. 1/5
   3. 1/15
   4. 1/20
4. What is the value of 0.4 of 2.4 +3.6 - 12 -0.8?
   
   1. 0.46
   2. 4.6
   3. 46
   4. 460
5. What is 36899.99 rounded off to the nearest one decimal place?
   
   1. 36899.0
   2. 36900.00
   3. 36900.0
   4. 36899.9
6. In the figure ABC below what is the size of the reflex angle formed?
   
   
   1. 90° 
   2. 180°
   3. 270°
   4. 360°
7. What is the difference in the square root of 36/25, and the square of 2/5,?
   
   1. 1 ¹⁶/₂₅
   2. 1¹⁵/₂₅
   3. 2²/₅
   4. 1
8. The table below show the prices of food at Mama Chai Hotel
   

   	Ugali	Mchele	Chapati	Chips
   Beef	120	140	100	200
   Fish	180	220	160	240
   Sukuma	80	100	70	150

   A group of eight people went to the hotel for lunch Two ate ugali samaki.
   Two ate chips beef.
   Three ate ugali sukuma.
   The last one ate mchele beef.
   How much money did they pay for lunch?
   
   1. Shs 960
   2. Shs 1140
   3. Shs 1200
   4. Shs 800
9. What is the simplest form
   4(3x - 2y + 2) + 2(2y - 2x +2)
   
   1. 165 + 12
   2. 8x+12y + 12
   3. 16x + 12y +12
   4. 8x - 4y +12
10. The fractions3/7, 5/8 , 1/2 , 2/5 are to be arranged from the largest to the smallest. Which one is the correct order?
    
    1. 5/8,1/2 , 3/7,2/5
    2. 2/5,3/7 , 1/2,5/6
    3. 3/7,2/5 , 1/2,5/8
    4. 5/8,3/7 , 2/5,1/2
11. Omwani piece of land is in a shape of a Trapezium as shown below.
    
    What is the area of the land in hectares?
    1. 0.96 ha 
    2. 9.6 ha
    3. 96 ha
    4. 960 ha
12. A rectangular piece of land measure 140m by 80m. The land is to be fenced using five strands of wire leaving a gate of Sm. What is the length of the wire used?
    
    1. 2200m
    2. 440m
    3. 435m
    4. 2175m
13. What is the next number in the pattern 3,4,8,17, 33
    
    1. 53
    2. 58
    3. 63
    4. 51
14. What is the value (y+5)/3 = (y-3)/2
    
    1. 1
    2. 19
    3. 6 
    4. 5
15. Construct triangle XYZ in which line XY =7cm, YZ =5.5cm and XZ=5cm. Draw a circle that passes through the vertices XYZ of the triangle What is the diameter of the circle?
    
    1. 7cm 
    2. 3.5cm
    3. 2.6cm
    4. 5.2cm
16. The marked price of a T.V set is Sh 25000. The hire purchase price is 20% more than the marked price. A deposit of shs 6000 is paid and the rest paid in 12 equal monthly instalments. How much was each instalment?
    
    1. Shs 30 000
    2. Shs 2 500
    3. Shs 2 000 
    4. Shs 24 000
17. How many days were there between 25th January to 1" April year 2020?
    
    1. 65
    2. 66
    3. 67
    4. 68
18. The mass of an empty carton is 0.25kg. It was packed with books until it weighed 17.75kg. If the mass of one book is 350g how many books were packed in three such cartons?
    
    1. 150
    2. 50
    3. 6
    4. 183
19. An agent sold a car for Sh. 250000 and was paid a commission of Sh. 10,000. What was his percentage commission?
    
    1. 4%
    2. 4 1/6
    3. 96% 
    4. 2 1/12
20. The table below shows the arrival and departure time for a bus from town A to town E.
    

    Town	Arrival	Departure
    A	_____	8:00am
    B	9:45am	10:00am
    C	11:20am	1:05pm
    D	1:05pm	1:55pm
    E	3:20pm

    How long did it take the bus to travel from town B to town D?
    
    1. 1 hr 5 min
    2. 3 hrs 35 min
    3. 3 hrs 20 min
    4. 3 hrs 5 min
21. What is the capacity in litres of a tank that measures 1.2m long 0.8m wide and 0.75m high?
    
    1. 0.721
    2. 7.27
    3. 721
    4. 7201
22. The mean of five numbers is 13. Four of the numbers are 16, 12, 11 and 15. What is the median number?
    
    1. 11
    2. 13
    3. 12
    4. 15
23. The bus fare increased from shs 500 to shs 600. What was the percentage increase?
    
    1. 25%
    2. 10% 
    3. 20%
    4. 15%
24. In the triangle PQR drawn below, construct a perpendicular from point to meet line PQ at point X
    
    What is the length of the line XQ?
    
    1. 4cm
    2. 5cm
    3. 6cm
    4. 10cm
25. The area of the curved surface of a cylinder 2640cm?. If the height is 20cm, what is the radius of the cylinder?
    
    1. 42cm
    2. 21cm
    3. 14cm
    4. 7cm
26. The cylinder below has a circumference of 28m. Calculate its surface area when opened
    
    
    1. 5632
    2. 5016
    3. 4400
    4. 301800
27. What is the value of 21y - 12 < 36 + 13y?
    1. y<8 
    2. y<6
    3. y<3
    4. y<4
28. In the figure below triangle ABE is an Isosceles triangle and BCDE is a parallelogram?
    
    What is the size of angle AED?
    1. 63°
    2. 126 °
    3. 117°
    4. 73°
29. Karanja left Nyeri for Sagana at 11:46 am and drove at a speed of 90km/h. He drove a distance of 60km, at what time did he get at Sagana?
    1. 3:26pm 
    2. 1:26pm
    3. 2.26pm
    4. 12:26pm
30. Jack and Joel shared some money in the ratio 3:4. If Jack got sh 2800 less than Joel, how much did Joel get?
    1. Sh. 8400
    2. Sh. 8 600
    3. Sh. 19 600
    4. Sh. 11 200
31. At Ole Muyaa's Farm there are 1200 animals of these ⁵/₁₂ are sheep, goats are ³/₄ of the remainder and the rest were cows. How many cows are there?
    1. 425
    2. 175
    3. 500 
    4. 900
32. Ochieng piece of land is in a shape of a rectangle. If the diagonal measures 260m and the width is 100m, what is the area of the land in square metres?
    1. 12000m²
    2. 24000m²
    3. 13000m²
    4. 26000m²
33. The following are characteristics of a quadrilateral
    1. Has all sides equal
    2. Diagonals bisect at right angle.
    3. Two pairs of parallel lines.
    4. Diagonals are equal
       The quadrilateral described above is
       1. Rhombus
       2. Parallelogram
       3. Trapezium 
       4. Square
34. A bus reached its destination at 0635 hrs on Tuesday. After travelling for 15hrs 25 mins At what day and time had the bus started the journey?
    1. Sunday 3:10pm
    2. Monday 3:10pm
    3. Tuesday 3:10am
    4. Monday 3:10am
35. Keziah had shs.m. Carol had shs 30 less than Keziah while Tracy had half as much as the sum of Keziah and Carol. Which equation represent the information if the total amount of money was shs 360?
    1. 2m-30 = 360
    2. 2m -54 =260
    3. 3m-45=360
    4. 4 -60 = 360
36. It takes 12 days for 6 men to do a certain job. How many more men are required to do the job in 8 days?
    1. 9
    2. 3
    3. 15
    4. 12
37. During a birthday party people chose their favourite meat as follows. 0.15 chose beef 0.2 chose fish 0.3 chose chicken. The rest chose mbuzi. If those who chose fish were 80, how many chose mbuzi?
    1. 140
    2. 120
    3. 400
    4. 60
38. The diagram below represents a wedge
    
    What is its total surface area in cm2
    1. 48
    2. 108
    3. 76
    4. 68
39. A rectangular piece of land is drawn to scale 1:30,000.If the drawing measures 5cm long and 3cm wide, what is the area in hectares?
    1. 13.5 hectares
    2. 135 hectares
    3. 1350 hectares
    4. 13 500 hectares.
40. In a function the number of women was thrice that of men. The number of children is twice the total number of men and women. The number of men attendants was 630. How many more children than women attended the function?
    1. 3150
    2. 2520
    3. 5040
    4. 1890
41. Ntapaiya paid sh 25 500 for an item after getting 15% discount. How much more would he have paid if he was given 12% discount?
    1. Shs. 900
    2. Shs. 3 600
    3. Shs. 30 000
    4. Shs. 26400
42. Daniel borrowed shs 50 000. After two years he paid a total of shs 60 000. At what rate per annum did the money earn simple interest?
    1. 5%
    2. 10%
    3. 20%
    4. 25%
43. The hire purchase price of an item includes a deposit of sh 13 000 and seven cqual monthly instalments of shs 5000. If this is 20% more than the marked price, how much is the marked price?
    1. Shs. 8 000
    2. Shs. 48000
    3. Shs. 40 000
    4. Shs. 38 400
44. Robert bought a piece of land for shs 2 million. He subdivided it into 8 equal plots selling each plot at shs 400 000. What percentage profit did he make?
    1. 80%
    2. 40%
    3. 20%
    4. 60%
45. Kamagui bought the following items from a shop:
    2 - 2kg packets of unga @120 per packet
    3kg rice @sh 110 per kg
    2 ¹/₂ litres of milk of shs 50 per half litre.
    3 litres cooking oil @shs 140 per litre
    3kg ndengu @ sh 160 per kg
    How much balance did he get if he paid using 2 - 1000 shilling notes?
    1. Shs 280
    2. Shs 1 720
    3. Shs 180 
    4. Shs I 820
46. What is the square root of 0.0676?
    1. 0.026 
    2. 0.26
    3. 2.6
    4. 26
47. What is the value of (3X-3)/4-6 = 0
    1. 6
    2. 9
    3. 4
    4. 3
48. A square plot has an area of 0.64 hectares. What is twice its perimeter?
    1. 320
    2. 640
    3. 80
    4. 160
49. Which of the following is the next shape in the pattern?
    
50. The graph below shows the journey by Omolo from Kisumu to Unguja a distance of 120km. After travelling for 30km, he rested for half an hour and then continued with the journey arriving at 5:00pm.
    
    What was his speed after the rest?
    1. 13 km/h
    2. 15km/h
    3. 30km/h
    4. 18km/h

Marking Scheme

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