Mathematics - KCPE 2021 Prediction Set 4 (Questions and Answers)

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  1. Write seven million, four hundred and two thousand and five thousand in symbols
    A. 7402000.005
    B. 7402000.5000
    C. 74020005000
    D. 7042000.005
  2. What is the total value of digit 1 obtained after working out: 0.420714 ÷ 0.7?
    A. 0.0001
    B. 0.001
    C. 0.01                              
    D. 0.1
  3. Salat was admitted in Nairobi hospital on 8th June 2012 and discharged on 11th November 2012. For how many days was he in the hospital?
    A. 158
    B. 157
    C. 156                               
    D. 155
  4. What is the sum of the next two numbers in the pattern below? 4, 6, 12, 22, 36, ____, ____.
    A. 128
    B. 134
    C. 126                               
    D. 130
  5. The table below shows the attendance of pupils in a certain class in one week.

    Day

    Mon

    Tue

    Wed

    Thur

    Fri

    No. of Pupils

    46

    41

    46

    45

    42


    If the class has 50 pupils altogether, what was the average number of pupils absent during the week? 
    A. 44                                 
    B. 10 
    C. 6                                   
    D. 30
  1. The diagonal of a rectangular plot of land measures 150m while the width measure 120m. What is the perimeter of the plot?
    A.  540m
    B. 90m
    C. 480m                            
    D. 420m
  2. The figure drawn below shows a container filled with water to the level shown. How many more decilitres of water are required to fill the container?
    maths set 4 q7.png
    A.  462 dl
    B. 46200 dl
    C. 46.2 dl                          
    D. 154 dl
  3. The sum of three consecutive numbers is 84. Find the square of the largest number.
    A.  784
    B. 841
    C. 729                               
    D. 29
  4. A bicycle wheel has a radius of 42 cm. If it made 200 revolutions, what distance did it cover in metres?
    A.  264m
    B. 52800m
    C. 24400m                        
    D. 528m
  5. An empty pick up weighs 1.6 tonnes. It weighs 8.1 tonnes when loaded with 50kg bags of cement. How many bags of cement are on the lorry?
    A. 130
    B. 152
    C. 150                               
    D. 132
  6. Work out: -
    maths set 4 q11.PNG
    A. 4
    B. 5 
    C. 6 
    D. 64
  7. 12 men can do a piece of work in 9 days. How many more men are needed to do the same piece of work in 6 days?
    A. 18
    B. 7
    C. 6                                   
    D. 8
  8. Find the area of the figure below in hectares
    maths set 4 q13.png
    A.  0.18 ha
    B. 0.504 ha
    C. 0.24 ha                          
    D. 0.0504 ha
  9. By selling a T.V for sh 27000, a trader makes a 10% loss. At what price should he sell the T.V to make a profit of 10%
    A.  sh 24300
    B. sh 33000
    C. sh 30,000                      
    D. sh 29700
  10. A section of a road 7.5 km long was drawn on a map. If its length on the map is 5cm, what is the scale used?
    A.  1:1500000
    B. 1:15000000
    C. 1:150000                      
    D. 1:15000
  11. The mass of Terry was 120kg. He fell sick and the mass decreased by 10%. A week later it decreased by another 10%. What was his final mass?
    A. 96 kg
    B. 108 kg
    C. 97 kg                             
    D. 97.2 kg
  12. Kamunyu left his home at 8.45 am and drove towards a town which was 14.4 km away. He reached the town at 9.05 a.m. What was his average speed in m/s?
    A. 12 m/s
    B. 1 ½ m/s
    C. 12 ½ m/s                       
    D. 10 2/5 m/s
  13. The height of an isosceles triangle is 7cm. Each of the two equal sides measures 25cm. What is the area of the triangle?
    A. 336 cm2
    B. 168cm2
    C. 84cm2                           
    D. 175cm2
  14. Calculate the total surface area of the figure below
    maths set 4 q19.png
    A. 2208 cm
    B. 1248 cm
    C. 2304 cm                        
    D. 2688 cm
  15. A factory packed a total of 18944 packets of washing powder. Out of these, 5048 were ¼ kg packets, 4820 were 1kg packets, 4921 were ½ kg packets. 2 kg packets were 785 less than 1kg packets while the rest were 5kg packets.
    How many kg packets were there?
    A.  120
    B. 1200
    C. 18824                           
    D. 3370
  16. What is the value of
    maths set 4 q22.PNG
    A. 2¼
    B. 145/8
    C. 1¼                                
    D. 13½
  17. James borrowed sh 20000 from a bank that charged simple interest at the rate of 12 ½% p.a. If he paid the money after 18 months, how much money did he pay to the bank altogether?
    A. sh 3750
    B. sh 45000
    C. sh 23750                       
    D. sh 23600
  18. Ken and John shared some money in the ratio 4:5 respectively. John got sh 36 more than Ken How much money did Ken get?
    A. sh 180
    B. sh 4
    C. sh 144                           
    D. sh 324
  19. Draw triangle ABC where AB=7cm, BC=6cm and angle ABC = 70o. Draw a circle to touch the vertices of the triangle. What is the diameter of the circle?
    A. 6.5 cm
    B. 7.6 cm
    C. 8.2 cm                           
    D. 5.4 cm
  20. Mwakio bought the following items from a shop:
    2 packets of unga @ sh 47.00
    2 kg of cooking fat for sh 560
    1 ½ kg of rice @sh 66.00
    2 kg of sugar @sh 65.00
    If she paid the items with a one thousand shilling note how much more should she have added the shopkeeper in order to receive a balanced of sh 200?
    A. sh 117
    B. sh 883
    C. sh 93                             
    D. sh 83
  21. Otieno slept at 2130 hrs and woke up at 6.05 a.m the following day. For how long did he sleep?
    A. 8hrs 35 min
    B. 9hrs 35 min
    C. 15 hrs 25 min                
    D. 3 hrs 25 min
  22. Work out the value of k in:
    maths set 4 q28.PNG
    A. ½
    B. 1
    C. 4                                   
    D. 5
  23. In the figure below, line ABC is a straight line, EF is parallel to BC. Angle DBA = 122°. While angle EFC = 1180. Find the value of the angle marked t.
    maths set 4 q29.png
    A. 44°
    B. 60°
    C. 58°                                
    D. 62°
  24. Which of the following groups of numbers is made up of prime numbers only?
    A. 51, 87, 43, 31
    B. 97, 91, 79, 67
    C. 5, 7, 11, 57                    
    D. 53, 61, 71,83
  25. What percentage of the figure below is shaded?
    maths set 4 q31.png
    A. 50%
    B. 30%
    C. 75%                              
    D.25%
  26. Write 3½ as a ratio in the simplest form
    A. 7:2
    B. 2:7
    C. 7:200                            
    D. 200:7
  27. What is the square root of 0.021904?
    A. 1.48
    B. 0.148
    C. 148                               
    D. 0.0148
  28. What is the value of 43.47+6 correct to 2 decimal places?
    A. 7.25
    B. 7.24
    C.7.20                               
    D. 7.30
  29. The angles of a triangle are:4 (p+5o), 10p and 6(p – 5o). What kind of triangle is it?
    A. Right angled
    B. Isosceles
    C. Equilateral                    
    D. Scalene
  30. The diagram below is a wooden box used for packing circular tins. The tins have a diameter of 0.28m and a height of 0.4m.
    maths set 4 q36.png
    How many such tins can be packed in the box?
    A. 360
    B. 225
    C. 522                               
    D. 252
  31. The table below shows the sizes of shoes and the number of pairs sold in a shop in one day.

    Size of shoe

    2

    3

    4

    5

    6

    No. of pairs sold

    8

    12

    16

    22

    6

    Which size of shoes had the modal size? 
    A. 6                                   
    B. 5 
    C. 4                                   
    D. 22
  1. A rope 1584 cm long goes round a cylindrical tank exactly nine times. What is the diameter of the tank?
    A. 28cm
    B. 72cm
    C. 56cm                            
    D. 504cm
  2. In the figure below GHIJ is a rhombus. Line JH is a diagonal, line HI=line HL while ∠GJH=40°.
    maths set 4 q39.png
    What is the size of ∠GKH?
    A. 60
    B. 80°
    C. 40°                                
    D. 20
  3. A farmer harvested 10080 bags of potatoes in 2014. This was a 20% decrease in harvest from the harvest for 2013. How many bags of potatoes had he harvested in 2013?
    A. 2016
    B. 8064
    C.12600                            
    D. 12096
  4. The hire -purchase price of a bicycle is sh 5400. Ian bought it by paying a deposit of sh 2000. He paid the rest in instalments of sh 340 each starting in the month of May. In which month was the last instalment paid?
    A. February
    B. December
    C. March                           
    D. January
  5. 4/5 of a number is 15 more than three-quarter of it. What is the number?
    A. 400
    B. 100
    C. 300                               
    D. 200
  6. Two and half tonnes of sugar was packed in small packets each weighing 500g. How many packets were used?
    A. 200
    B. 5000
    C. 50                                 
    D. 500
  7. Kariuki's house is 12.6 m long and 9m wide. He is to cover the flour with tiles 18cm by 15 cm each. How many tiles does he need?
    A. 4200
    B. 2100
    C. 420                               
    D. 42
  8. The mean age of 54 pupils in a certain class is 13 years. When the mass of their class teacher is included, the mean age becomes 132/5 What is the class teacher's age?
    A. 55 yrs
    B. 21½ yrs
    C. 181/5 yrs                        
    D. 35 yrs
  9. The pie chart below shows the number of fruits that were sold by a certain grocer in Kigumo market.
    maths set 4 q46.png
    If the grocer sold 45 lemons, how many more oranges than bananas were sold?
    A. 165
    B. 10
    C. 30                                 
    D. 90
  10. Work out 4t + 4 - t + 2 < 7
    A. t >3                        
    B. t < 3
    C. t < 1/3                            
    D. t > 1/3
  11. Construct triangle ABC in which BC=9cm and ABC = 45° and angle BCA=60°. Measure line AC
    A. 5cm
    B. 6.6cm
    C. 3.3cm                           
    D. 2.9 cm
  12. Njoroge spends of his salary on food, of the remainder on rent and the rest on savings. If he saves sh 900, how much does he use on food and rent?
    A. sh 7500
    B. sh 4800
    C. sh 2700                         
    D. sh 8400
  13. The temperature of a mass of ice is -14°c. What will be the reading on the thermometer if there is a rise of 69°C?
    A. 55°C
    B. 83°C
    C. 75°C                             
    D. 73°C
  14. The graph below shows a ten-day journey and the distance cycled on each day.
    maths_set_4_q50.jpg
    By how many kilometers is the journey made in the last four days more than the joumey made in the first four days?
    A. 500 km
    B. 610 km
    C. 400 km                         
    D. 20 km


ANSWERS

maths set 4 ms

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