Mathematics - KCPE 2021 Prediction Set 2 (Questions and Answers)

Share via Whatsapp
  1. Which one of the following numbers is seven million, one thousand and one, and one hundredths?
    A. 7010001.001
    B. 7001001.001
    C. 70011001.01                 
    D. 7001001.01
  2. A number was divided by 8 and the result was 4 remainder 1. What was the number?
    A. 32
    B. 33
    C. 36                                 
    D. 39
  3. What is the total value of digit 2 in 37946.802?
    A. 0.002
    B. 0.02
    C. 0.0002                          
    D. 2 .
  4. What is the value of 41/4 - 21/3 x 11/2 + 1/6 of 15/7?
    A. 13/28
    B. 51/28
    C. 15/28                               
    D. 5 1/14
  5. In a village, the population of people was 320. The ratio of male to female was 3:2. After 12 male left and 12 female joined the village, what was the new ratio of male to female?
    A. 45:41
    B. 2:3
    C. 3:2                                            
    D. 9:7
  6. In the figure below QS QR, QS is parallel to RT, SREST and angle STU=105°
    maths set 2 q6.png
    What is the measure of angle SQR?
    A. 75°
    B. 30°
    C. 60°                               
    D. 150°
  7. A square plot with an area of 2,025 m was to be fenced with three strands of wire leaving a gate of 5 m in length. What was the total length of wire needed to fence the plot?
    A. 540 m
    B. 180 m
    C. 45 m                             
    D. 525 m
  8. Mary walks of a distance from her home to school in 6 hours. How many hours does she use to cover half the total distance?
    A. 3 hours
    B. 4 hours
    C. 8 hours                          
    D. 4 1/2 hours
  9. In Mikiki village, the number of livestock was represented by the table below:

    Pigs

    Cows

    Goats

    Sheep

    Ducks

    2000

    6000

    650

     

    4000


    The above information was represented in a pie chart and the angle for cows was 60°. How many sheep were in the village if the mean of the animals is 3,330? 
    A. 40                                 
    B. 4000 
    C. 2000                             
    D. 3000
  1. Ann drew a road from her home to school on a book which measured 2.5 cm. If on the ground the road was 5 km, what scale did she use?
    A. 1:20,000
    B. 1:50,000
    C. 1:200,000.                     
    D. 1:100,000
  2. What is the value of x in: (4x+8) +12=20
    A. 4
    B. 3.
    C. 2                                   
    D. 1
  3. The diagonals of the square below intersect at point M.
    maths set 2 q12.png
    Which one of the statements below is false?
    A. Triangle WMY is right angled.
    B. Diagonals are equal.
    C. Line XY is a bisector of ZXW.
    D. Angle XMZ is equal to MYW.
  4. Seven girls had a mean age of 6 years. Five of the girls were aged 8.5, 9.0, 12.0, 8.5, and 2.5. The sixth and seventh girls had the same age. What was the modal age of the girls in years?
    A. 7.5 years
    B. 45.5 years
    C. 2.5 years                       
    D. 5.0 years
  5. What is half of the area of the figure below?
    maths set 2 q14.png
    A. 120 cm2
    B. 48 cm2
    C. 60 cm2                          
    D. 54 cm2
  6. A square playing field has a perimeter of 148 meters. What is double the area of the field?
    A. 37 m2
    B. 1,369 m2
    C. 2,738 m2                       
    D. 5,476 m2
  7. A meeting started at 8:15 am and took 2 hours 35 minutes before a 45 minutes tea-break. It continued for another 3 hours 20 minutes before proceeding for a 1 hour 15 minutes lunch break. If the meeting ended 3 hours 10 minutes after resuming, at what time in a 24 hours system did the it end?
    A. 6:05 am
    B. 1805 hours
    C. 6:05 pm                        
    D. 1850 hours
  8. The box below is made up of a uniform timber of 4 cm thickness. The external measurements of the base are 22 cm long by 18 cm wide and 30 cm high.
    maths set 2 q17.png
    What is the volume of the timber used to make the box?
    A. 3,080 cm3
    B. 8,240 cm3
    C. 3,640 cm3                      
    D. 11,880 cm3
  9. A circular swimming pool was fenced with two equal strands of rope whose total length was 1,760 m. What was the diameter of the pool?
    A. 140 m
    B. 280 m
    C. 560 m                           
    D. 70 m
  10. A shopkeeper spent sh 24,000 to buy 6 tables after which he sold them making a 20% loss. How much did he sell each table?
    A. Sh 4,000
    B. Sh 32,000
    C. Sh 15,000                     
    D. Sh 11,200
  11. Peter Chuma bought the following iron for his metal business:
    21/2, inch round rods @sh 430
    75 inch welding iron for sh 2,010
    4 four-meter open sheet @ sh 1,060 per meter
    2 tins 4-litre oil paint at sh. 1,200 per tin.
    Sh 600 shillings for transport

    If he had sh 30,000 before the above purchase and three of his workers were paid sh 2,000 each, how much was he left with at the end of the day?
    A. Sh 29,045
    B. Sh 955
    C. Sh 23,525                     
    D. Sh 6,477
  12. A clock gains 10 seconds every 2 hours. If it was set right on Monday at 8:45 am, what time will it show the following Monday at 8:45 am?
    A. 8:59 am
    B. 8:59 pm
    C. 8:31 am                        
    D. 8:31 pm
  13. What is the perimeter of a square with an area of 3,844 m2?
    A. 62 m
    B. 248 m
    C. 1,922 m                        
    D. 124 m
  14. What is the volume of the wood left after a rectangular hole measuring 2 cm by 15 cm is drilled through a log of diameter 1.4 m and height of 2.4 m?
    maths set 2 q23.png
    A. 14,784,000 cm3
    B. 15,370 cm3
    C. 3,688,800 cm3               
    D. 33,570 cm3
  15. A boy and a girl shared some balls in the ratio of 8:3. If the girl got 10 balls less than the boy, how many balls were there to be shared by both of them?
    A. 16
    B. 20
    C. 15                                 
    D. 22
  16. Find the radius of a cylindrical tank which has a capacity of 6.16 litres and a height of 0.1 m.
    A. 1.4 cm
    B. 14 cm
    C. 0.14 cm                        
    D. 140 cm
  17. What is the value of
    maths set 2 q26.PNG
    A. 0. 496            
    B. 496
    C. 4.96                              
    D. 49.60
  18. A tap discharges water at the rate of 1.5 litres per second. How long will the tap take to discharge water from a rectangular tank measuring 1.2 m long by 0.05 m wide and 0.6 m high?
    A. 2,400 minutes
    B. 40 minutes
    C. 24 minutes                    
    D. 4 hours
  19. Construct a triangle CDE such that CD-DE-CE=6 cm. Draw a circle touching its vertices. What is the measure of the diameter?
    A. 3.4 cm
    B. 6.8 cm
    C. 1.7 cm                           
    D. 15.6 cm
  20. Halima ate 1/3 of a loaf of bread while her sister ate 2/5 of the reminder. Their brother ate ½ of the bread left, a ¼ of what they had left was eaten by an unknown child and the rest got spoilt. What fraction was eaten by the unknown child?
    A. 1/36
    B. 8/9
    C. 7/9                                 
    D. 1/9
  21. If 24th January 2003 was on a Tuesday, which day was April 21st the same year?
    A. Thursday
    B. Wednesday
    C. Monday                        
    D. Tuesday
  22. Which one of the following is NOT TRUE according to the diagram below?
    maths set 2 q31.png
    A. a = e
    B. a + d = c
    C. a + b + d = 180°
    D. b + d = e
  23. A ball is placed on a wall at the position shown below. When dropped, it bounces and hits one fifth less the previous position.
    maths set 2 q32.png
    What is the height of the position it will hit in the third bounce?
    A. 12 m
    B. 39.4 m
    C. 31.42 m                        
    D. 48 m
  24. A flower garden is in the shape drawn below. Stones were placed round the garden 3.0 m apart.
    maths set 2 q33.png
    If each stone was bought at 20 shilling and the transport cost for all of them was Ksh. 1.200, what was the total cost incurred for all the stones?
    A. 2.040
    B. 840
    C. 1,360                            
    D. 1,403
  25. A square piece of land drawn below XWYZ has a perimeter of 560 m. WMY is an arc with centre Y.
    maths set 2 q34.png
    What is the area of the shaded part in hectares?
    A. 1.96
    B. 1.54
    C. 0.0042                          
    D. 0.42
  26. The hire purchase price of a boat is 20% more than the cost price. The hire purchase price is a deposit of Ksh. 12,000 plus 15 equal monthly installments of Ksh. 800 each. The cash price is 20% more than the cost price. What is the cash price of the boat?
    A. Sh 20,000
    B. Sh 30,000
    C. Sh 24,000                     
    D. Sh 25,000
  27. A tailor had 14.25 m of material to make a big and a small table clothes. He made two big table clothes each taking 4.75m of material and three small table clothes each taking 1.05 m of the material. The rest was a waste. What was the size of the waste material?
    A. 12.65 m
    B. 6.80 m
    C. 1.60 m                         
    D. 7.45 m
  28. A man bought cows, goats and sheep. He bought 16 more cows than goats. The number of sheep bought was twice the number of cows and goats. All the animals bought were 96. Which expression below shows the number of goats bought?
    A. 4x+32
    B. 7x+48
    C. 6x+48                           
    D. 4x+16
  29. What is the double LCM of 30, 40 and 60?
    A. 120
    B. 130
    C. 240                               
    D. 260
  30. What is the seventh number in the pattern 3,4,7,11,18?
    A. 47
    B.29
    C. 19                                 
    D. 25
  31. The height of water in a tank was 1.4 m. A family was using water from the tank which made the height to decrease by 20% every day. What was the height of the water in the tank after two days, if the usage was at the same rate each day?
    A. 89.6 m
    B. 201.6 m
    C. 97.6 m                          
    D. 5.6 m
  32. The travel table below shows the bus fare from town G to M through others. Moses travelled from town I to M direct while Mary travelled from town I to M via town K.
    maths set 2 q41.png
    Who paid more and by how much?
    A. Mary by Sh 140
    B. Moses by Sh 120
    C. Moses by Sh 60
    D. Mary by Sh 20
  33. Find the area of the figure below.
    maths set 2 q42.png
    A. 712.25 cm2
    B. 2,558.5 cm2
    C. 1,279.25 cm2                 
    D. 1,424.5 cm2
  34. A customer deposited 20,000 Kenya shillings in Family Bank which offered a certain simple interest rate per year. After 18 months, the customer withdrew all the money which was Ksh. 21,500. What was the interest rate offered by the bank?
    A. 5/12%
    B. 71 2/3%
    C. 4%                                
    D. 5%
  35. The length of a 16 m square table cloth decreased by 20%. What was the new area of the decreased table cloth?
    A. 3.2 m2
    B. 0.0016 m2
    C. 256 m2                           
    D. 10.24 m2
  36. Four taps are used to fill and empty a cylindrical tank of water. Tap x and w take 3 hours and 4 hours respectively to fill the tank. Tap k and q take 4 hours and 6 hours respectively to empty the tank. If the tank is empty and all the four tops are opened at the same time, how long will it take to fill the tank?
    A. 6 hours
    B. 12 hours
    C. 17 hours                        
    D. 18 hours
  37. To build a classroom for 5 days, a school needs 18 workers. If the school used all the 18 workers for the first 2 days and added 9 more workers, how many less days did the work take to be completed?
    A. 1 day
    B. 2 days
    C. 3 days                           
    D. 4 days.
  38. In a farm, 1/5 of the animals were cows, ¼ while were sheep. The fifth of the remainder were goats and the rest were pigs. What fraction of the total animals were pigs?
    A. 11/20
    B. 11/50
    C. 3/20                                                                 
    D. 33/100
  39. Find the length of line SQ in the figure below:
    maths set 2 q48.png
    A.2.4 m
    B. 4.8 m
    C. 24 m                             
    D. 48 m
  40. A student paid sh 400 for 10 pairs of socks after being given a discount of sh 10 on each pair. What percentage discount did she get?
    A. 25%
    B. 20%
    C. 50% .                            
    D. 5%
  41. The graph below shows Mary's movement from Machakos to Nanyuki and back. Nanyuki
    maths_set_2_q50.jpg
    Using the graph, what was the average speed of the whole journey?
    A. 60 km/h                        
    B. 42 6/7 km/h 
    C. 718 3/4 km/h                  
    D. 35.9 km/h


ANSWERS

maths set 2 ms

Join our whatsapp group for latest updates

Download Mathematics - KCPE 2021 Prediction Set 2 (Questions and Answers).


Tap Here to Download for 50/-




Why download?

  • ✔ To read offline at any time.
  • ✔ To Print at your convenience
  • ✔ Share Easily with Friends / Students


Get on WhatsApp Download as PDF
.
Subscribe now

access all the content at an affordable rate
or
Buy any individual paper or notes as a pdf via MPESA
and get it sent to you via WhatsApp

 

What does our community say about us?

Join our community on:

  • easyelimu app
  • Telegram
  • facebook page
  • twitter page
  • Pinterest