Mathematics Questions And Answers - KCPE 2022 Past Papers

Questions

1. What is 400300085 written in words?
   1. Four hundred million three hundred and eighty five.
   2. Four hundreed million three thousand and eighty five.
   3. Four hundred million thirty thousand and eighty five.
   4. Four hundred million three hundred thousand and eighty five.
2. Whta is the total value of digit 6 in 5960124?
   1. 600
   2. 6 000
   3. 60 000
   4. 600 000
3. Which one of the following statements is correct?
   1. 0.95 < 0.095
   2. 0.075 > 0.75
   3. 3.85 < 3.75
   4. 1.25 > 0.125
4. What is the value of 
   8² - 8 + 3?
      4
   1. 5
   2. 14
   3. 17
   4. 65
5. A tailor had 24 ³/₄ metres of a clothing material. The tailor sold ¹/₃  of the material and used 1 ¹/₄ metres to make a shirt. How many metres of the clothing material remained?
   1. 16 ¹/₂
   2. 15 ¹/₄
   3. 9 ¹/₂
   4. 7
6. Work out ¹/₃ of (¹/₄ + ³/₅) ÷ ¹/₄
   1. ¹⁶/₂₇
   2. ¹⁷/₂₄₀
   3. 1 ²/₁₅
   4. 2 ²⁹/₆₀
7. What is the next number in the pattern 45, 51, 57, 59, 65, 71, _________?
   
   1. . 73
   2. 75
   3. 77
   4. 79
8. Karanja, Wanjala and Amina weighed themselves. Karanja weighed 46.8 kg. Wanjala was 0.5 kg heavier than Karanja while Amina was 1.3 kg lighter than Wanjala. What was their total mass altogether?
   
   1. 142.7kg
   2. 140.1kg
   3. 139.6kg
   4. 138.1kg
9. What is the value of 
     4.8 x 18.3  
       6 x 0.6
   
   1. 244
   2. 24.4
   3. 2.44
   4.  0.244
10. What is 962.997 rounded off to 1 decimal place?
    
    1. 962.0
    2. 962.9
    3. 963.0
    4. 963
       317038
11.  In the figure shown, what is the area of the shaded part?
    
    
    1.  6 cm²
    2.  8 cm²
    3.  14 cm²
    4. 20 cm²
12. The table shows the number of people who attended a trade fair in a certain year.
    

    Male adults	Female adults	Children
    793	1064	3059

    Each adult paid sh 200 and each child paid sh 150. How much more money was paid
    by the children than adults?
    
    1.  sh87450
    2. sh371400
    3. sh458850
    4. sh 830250
13.  What is the value of  √2¹⁴/₂₅ - (²/₅)²?
    1. ⁴/₅
    2. 1 ³/₅
    3. 1 ¹¹/₂₅
    4. 2 ²/₅
14. Rose used 99 poles to fence round a circular garden. The distance between one pole to the next pole was 2 metres. What was the diameter of the garden?
    (Take π = 22/7)
    
    1. 198 metres
    2. 126 metres
    3. 63 metres
    4. 31.5 metres
15. A right angled triangle has an area of 96m². The base of the triangle is 12m. What is the length of the longest side?
    1. 16m
    2. 20m
    3. 28m
    4. 400m
16. The figured PQRS is a rectangle in which line PQ= 16cm and line QR=10cm. X and Y are points on the rectangle. The line PX = line YR= 4cm
    
    What is the area of the shaded part?
    1. 88 cm²
    2. 72 cm²
    3. 36 cm²
    4. 32 cm2
17. The area of one end of a cylindrical pipe is 8cm². The pipe holds 4m3 of water. What is the legnth in metres, of the pipe?
    1. 500 000
    2. 50 000
    3. 5 000
    4. 500
18. A tank had 2125 litres of water. The water was poured into a container which has a square base of side 250cm. What was the height of the water in the container?
    1. 34cm
    2. 340cm
    3. 3 400cm
    4. 34 000cm
19.  A school has enough food to feed 800 learners for 20 days. If 200 more learners were admitted to the school, how many days would the same food be able to feed all the learners?
    
    1. 25
    2.  16
    3. 5
    4.  4
20. A lorry weighs 7200 kg when empty. It weighed 12.6 tonnes when loaded with some 90 kg bags of maize. How many bags of maize were loaded on the lorry?
    
    1. 140
    2.  80
    3. 60
    4. 20
21. In the triangle shown, construct a perpendicular line from point P to meet line RQ at point W.
    
    Measure the line RW. What is the length of line RW?
    
    1.  7.8 cm
    2. 4.5 cm
    3. 3.9 cm
    4. 3.0cm
22.  The three angles of a triangle are x°, (x-4)° and (3x-1)°. What is the size of the smallest angle in the triangle?
    
    1.  31°
    2.  33°
    3.  37°
    4.  110°
23. Which one of the following is true for both an equilateral triangle and a rectangle?
    
    1. All sides are equal.
    2.  All angles are equal.
    3.  All angles add up to 180°.
    4. All angles add up to 360°.
24.  John walked a distance of 9 km from home to the market. He then walked back home. The whole journey took a total of 3 hours.
    What was the average speed for the whole journey?
    
    1.  54km/h
    2. 18km/h
    3. 6km/h
    4. 3 km/h
25. Two sisters shared sh 3 600 in the ratio 3:5.
    What was the difference in the amount of money received by the sisters?
    
    1. sh2250
    2.  sh2160
    3.  sh 1350
    4.  sh 900
26. The following lines have been constructed to meet at point X.
    
    What is the measure of angle WXZ?
    
    1.  75°
    2. 105°
    3. 135°
    4. 150°
27. A salesperson is paid a monthly salary of sh 9000. She is also paid a commission of 10% for all the goods sold above sh 10000. In a certain month, her total earnings were sh 10500. What was the total sales of goods in that month?
    
    1.  sh 15000
    2. sh 24000
    3. sh 25 000
    4. sh35 500
28. A tourist travelled from Mombasa to Nairobi by bus. The bus left Mombasa at 1.45 p.m and took 9 ½ hours to arrive in Nairobi. What time in 24 hour clock system, did the bus arrive in Nairobi?
    
    1.  0415h
    2.  1115h
    3.  2215h
    4.  2315h
29.  A cylindrical tin has a diameter of 14 cm and a height of 30 cm. The curved surface of the tin is completely covered by a label. What is the area of the tin covered by the label?
    (Take π = =22)
    1. 660 cm²
    2. 1320 cm²
    3. 1628 cm²
    4. 4620 cm²
30. The average mass of 40 pupils in a class was 41.8 kg. When the mass of the teacher was added, the average mass became 42.7 kg. What was the mass of the teacher?
    
    1. 42.25 kg
    2.  78.7kg
    3.  82.7 kg
    4.  88.7kg
31. A cylindrical tank of radius 5 m and a height of 3.5 m is full of water. On a certain day, the level of water dropped by 14 cm after being used for irrigation. How many litres of water were used on that day?
    (Take π = 22/7)
    
    1.  11000
    2.  110000
    3.  1100000
    4. 11000000
32. The figure shows a semicircle of radius 3.5 cm enclosed in a rectangle.
    
    What is the area of the shaded part?
    (Take π = 22/7)
    
    1. 43.70 cm²
    2. 24.50 cm²
    3. 19.25 cm²
    4. 5.25 cm²
33. Mercy has 5 bags of maize and Peter has 3 bags of maize. The mass of 1 bag of maize is represented by (x + 10) kg. Which one of the following expressions will show the total mass of maize that they have?
    
    1. (8x+80) kg
    2. (8x + 10) kg
    3. (5x+50) kg
    4. (3x+30) kg
34.  What is 1/4(32g+ 16f) + 1/3(15g + 9f) in the simplest form?
    
    1. 13g+f
    2. 13g + 7f
    3. 47g+f
    4. 47g+7f
35. What is the value of 
        x² + y² 
       x  - y
    given that x =8 and y = 6
    1. 7
    2. 14
    3. 50
    4. 98
36. Using  a ruler and a pair of compasses only, construct an equlateral triangle XYZ of side 7cm. Construct a circle passing through points X, Y and Z. What is the measure of the diameter of the circle?
    1. 2cm
    2. 4cm
    3. 6cm
    4. 8cm
37. The following are properties of a certain quadilateral:
    1. Diagonals are equal.
    2. Diagonals bisect each other at 90°
    3. Has two pairs of parallel lines
    4. Interior angles are equal.
       What is the name of the quadilateral described by the properties?
       1. Square
       2. Rectangle
       3. Rhombus
       4. Parallelogram
38. Mark bought a piece of land for sh 1 500 000. After some years, he sub-divided the land into 8 equal plots. He sold each plot at sh 350 000. What was the percentage profit made from the sale of all the plots?
    1. 10 ⁵/₆%
    2. 23 ¹/₃%
    3. 46 ³/₇%
    4. 86 ²/₃%
39. The table shows bus fare for adult passengers in shillings between different towns.
    

    Town K
    300	Town L
    500	300	Town M
    600	300	200	Town N
    700	400	300	200	Town P

    
    Amina and her two children travelled by bus from town K to P via N. The bus fare for children was half that of adults. How much money did Amina and her children spend as fare for the whole journey altogether
    1. sh 1400
    2. sh 1600
    3. sh2000
    4. sh2400
40. Nicholas paid sh 4000 for a carpet after getting a discount of 20%. What would have been the percentage discount had he bought the carpet for sh 3 800?
    1. 4%
    2. 24%
    3. 30%
    4. 76%
41. Patel bought the following items from a shop:
    1. 3½ kg of maize flour @sh 90 per kg
    2. 2 loaves of bread for sh 110
    3. 5 packets of milk @sh 52
    4. 4 kg of rice @sh 69 per kg
       He paid for all the items using a sh 1 000 note. How much more money should Patel give the shopkeeper so as to be given a balance of a sh 100 note?
       1. sh961
       2. sh 161
       3. sh61
       4. sh 39
42. The marked price of a radio was sh3 200. The hire purchase price was 115% of the marked price. Mutai bought the radio on hire purchase terms. He paid a deposit of sh 1680 and 4 equal monthly instalments. How much money was each monthly instalment?
    1. sh 500
    2. sh920
    3. sh 2000
    4. sh 3680
43. A road measuring 1.5 km is represented on a map by a line measuring 7.5 cm. What is the scale of the map?
    1. 1:20
    2. 1:200
    3. 1:2000
    4. 1:20000
44. The table shows postal charges for sending parcels.
    

    Mass (kg)	Charges (sh)
    Up to 5 kg	235
    Over 5 kg up to 10kg	290
    Over 10 kg up to 15kg	375
    Over 15 kg up to 30 kg	525
    For each additional 1 kg or part thereof up to 50 kg	19

    A wholesaler sent three parcels weighing; 2 kg, 11 kg and 37 kg. How much money was the wholesaler charged for sending the parcels altogether?
    1. sh 905
    2. sh 1135
    3. sh 1268
    4. sh 1313
45. The sitting capacity of a matatu was decreased from 14 passengers to 11 passengers. What was the percentage decrease in the sitting capacity?
    1. 21 3/7%
    2. 27 3/11%
    3. 72 8/11%
    4. 78 4/7%
46. Oleluko earns a salary of sh 14 400 every month. He spends sh 7 200  on food, sh 4 000 on house rent, sh 2 160 on airtime and saves the rest. A pie chart was drawn to show how Oleluko spent his salary. What was the size of the angle that represented the savings?
    1. 26°
    2. 54°
    3. 100°
    4. 180°
47. The figure shows an incomplete stack of cubes
    
    How many cubes are in the stack?
    1. 216
    2. 125
    3. 108
    4. 91
48. Atieno deposited sh 4 800 in a bank. The bank paid simple interest at the rate of 12% per annum. How much money did she have in the bank at the end of nine months?
    1. sh432
    2. sh576
    3. sh 5232
    4. sh5376
49. What is the value of x in
    3(x+8)=4(x+4)?
    1. 20
    2. 8
    3. 4
    4. 3
50. Which one of the following nets will form a triangular prism?
    

Marking Scheme