Mathematics - KCPE 2021 Prediction Set 1 (Questions and Answers)

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  1. In Kenya the population in 2015 was 47588092. What was the population to the nearest hundred thousand?
    A. 47500000                     
    B. 47590000
    C. 47600000                      
    D. 48000000
  2. What is the value of
     mathset1 q2 1
    A. 10                                 
    B. 2
    C. 22/5
    D. 24/5
  3. What is the value of
    8/9 + 1/3(2/3 - 1/4) of 4/5 + 1/2?
    A. 1/2                                  
    B. 2
    C. 17/18                               
    D. 11/9
  4. The following are prime factors of three numbers:
    (i) 23 x 33 x 5
    (ii) 22 x 33 x 52
    (iii) 24 x 3 x 7
    What is the GCD of the three numbers?
    A. 75600                           
    B. 12
    C. 6                                   
    D. 36
  5. In the number 9735926, the total value of digit 3 is added to the total value of digit 2. Which one of the following is the correct answer?
    A. 30002                           
    B. 30020
    C. 3020                             
    D. 320
  6. (i) Opposite sides are parallel
    (ii) All angles are equal
    (iii) Diagonals are equal and do not bisect each other at right angles
    (iv) Diagonals do not bisect the angles

    What is the name of the quadrilateral?
    A. Rectangle                      
    B. Square
    C. Rhombus                      
    D. Trapezium
  7. The perimeter of a rectangular plot of land is 113.14m. If the length of the plot is 36.14m, what is the width?
    A. 77m                              
    B. 38.5m
    C. 20.43m                         
    D. 10.125m
  8. The area of the trapezium below is 90m2. It was fenced using three strands of wire.
    mathset1-q8.PNG
    What was the length of the wire used? 
    A. 46m                              
    B. 144m 
    C. 108m                            
    D. 138m
  9. Which one of the following statements is correct? 
    A. 0.55 is greater than 5/9
    B. 0.55 is equal to 5/9
    C. 5/9, is greater than 0.55 
    D. 5/9, is less than 0.55
  10. Which one of the following statements is true about the number of faces and edges of a triangular prism? 
    A. 4 faces and 6 edges 
    B. 9 faces and 5 edges 
    C. 6 faces and 9 edges 
    D. 5 faces and 9 edges
  11. A rectangular tank is 4.8m long, 3.2m wide and 2.5m high. How many litres of water can it hold when half full? 
    A. 38400                            
    B. 19200 
    C. 38.4                               
    D. 19.2
  12. What is the value of m in the equation
    mathset1-q12.PNG
    A. 9                                    
    B. 81 
    C. 111                                
    D. 222
  13. Ojwang spent 17 of his income on school fees, 1/4 on food, 5/7 of the reminder on rent and saved the rest. What total fraction of his money did he save?
    A. 1/6                                 
    B. 5/12
    C. 1/4                                  
    D. 2/7
  14. In a certain year 3600 pupils scored above 400 marks in KCPE. The following year those who scored above 400 marks were 4050. What was the percentage increase in the number of candidates who scored above 400 marks? 
    A. 111/9%                          
    B. 888/9
    C. 1.25%                           
    D. 121/2%
  15. Nadimo bought a smart phone by paying a deposit of sh. 6000 plus 15 equal monthly instalments of sh 1250. The hire purchase price was 10% more than the marked price. What was the marked price? 
    A. Sh. 22275                     
    B. Sh. 22500 
    C. Sh. 24750                     
    D. Sh. 27500
  1. The table below shows the number of bags of cereals in two stores during a certain month. The number of bags of rice in the two stores is not shown.

    NAME OF STORE

    CEREALS

    Number of bags of wheat

    Number of bags of maize

    Number of bags of rice

    Number of bags of barley

    Total

    Juma Store

    24

    120

     

    270

    630

    Mbugua Store

    16

    240

     

    168

    554


    How many more bags of rice did Juma store have more than Mbugua store? 
    A. 130                               
    B. 216 
    C. 86                                 
    D. 346
  1. A wheelbarrow dealer was left with sh. 171000 after paying out a 5% commission to an agent for the sale of the wheelbarrows. What was the selling price of the wheelbarrows?
    A. Sh. 162450                   
    B. Sh. 179550
    C. Sh. 180000                    
    D. Sh. 3420000
  2. What is the next number in the pattern
    3, 7, 13, 21, 31, ______
    A. 41         
    B. 45   
    C. 42   
    D. 43
  3. What is the value of
    mathset1-q19.PNG
    Given that n= q + y, q=1/3y and y= 6?
    A. 4 2/5
    B. 2     
    C. 4     
    D. 111
  4. What is the smallest number possible formed from the digits 9, 7, 0, 4, 2?
    A. 24790                           
    B. 02479
    C. 20479                           
    D. 24079
  5. In the figure below, AB is parallel to DC and BE = EC. Angle BAC = 26° and BDC = 52°.
    mathset1-q21.PNG
    What is the size of angle BCD?
    A. 78°                               
    B. 51°
    C. 77°                               
    D. 102°
  6. The mean mass of 8 body builders is 91kg. The mean mass of 6 of the bodybuilders is 89kg. The remaining two bodybuilders' difference in mass is 6kg. What is the mass of the lighter bodybuilder?
    A. 97 kg                             
    B. 94 kg
    C. 100 kg                           
    D. 91 kg
  7. A design was made up of straight edges of length 10cm and arcs of circles as shown in the figure below.
    mathset1-q23.PNG
    What is the area of the design? (Take T = 22/7)
    A. 250.5cm2
    B. 212cm2
    C. 289cm2                         
    D. 366cm2
  8. Opondo paid sh 7640 to buy a phone after getting 47% discount. How much less would he have paid had he been offered a 7% discount?
    A. Sh. 200                         
    B. Sh. 560
    C. Sh. 360                         
    D. Sh. 920
  9. A bus left Eldoret on Wednesday at 2235h and took 6hrs 40min to reach Nairobi. On what day and at what time in am/pm system did the bus arrive at Nairobi?
    A. Thursday 5.15am
    B. Thursday 5.15pm
    C. Wednesday 5.15am
    D. Wednesday 5.15pm
  10. The area of a square garden is 4096m2. What is the length of one side of the garden in metres?
    A. 16m                              
    B.1024m
    C. 2048m                          
    D. 64m
  11. An open cylindrical tank has an internal diameter of 4.2m and an internal height of 5m. The inside of the tank was painted. What area of the tank in square metres was painted?
    (Take π = 22/7)
    A. 93.72                            
    B. 79.86
    C. 46.86                            
    D. 60.7
  12. The graph below shows the distances covered by a cyclist travelling from town M to town K and a motorist travelling from town M to town K and back to town M.
    mathset1_q28.jpg
    What was the motorist's average speed for the whole journey?
    A. 62/3 km/h                       
    B. 15 km/h
    C. 7½ km/h.                       
    D. 30 km/h
  13. Wambugu had 300 two hundred shillings notes. He then changed all of the money into shilling 1000 and shilling 500 notes in the ratio 1:4 respectively. How much money was in shilling 500 notes?
    A. Sh. 20,000                    
    B. Sh. 48,000
    C. Sh. 12,000                     
    D. Sh. 40,000
  14. Khatioli invested sh. 80000 in a bank which paid compound interest at the rate of 8% per annum. How much money did Khatioli have in the bank after two years, altogether?
    A. Sh. 13,312                    
    B. Sh. 12,800
    C. Sh. 92,800                     
    D. Sh. 93,312
  15. What is the area of a rhombus whose diagonal are 48cm and 14cm long?
    A. 336cm2
    B. 672cm2
    C. 168cm2                         
    D. 600cm2
  16. Koech makes strides of an average length of 0.85m. How many such strides will he make to cover 3.4km?
    A. 2500                             
    B. 40000
    C. 4000                             
    D. 400
  17. There are 202 trees planted on both sides of a road at intervals of 5m apart. What is the distance from the first tree to the last one?
    A. 500m                            
    B. 505m
    C. 1010 m                         
    D. 1005m
  18. Two men can do a piece of work in 30 days. Six women can do the same piece of work in 15 days. How long would it take to do the same piece of work if all the two men and the six women worked together?
    A. 7 1/2 days                       
    B. 10 days
    C. 12 days                         
    D. 8 days
  19. A school received 264 litres of milk packed into 2 decilitre packets. If the packets were in crates each holding 24 packets, how many crates were received?
    A. 5.5        
    B. 11   
    C. 22   
    D. 5
  1. The table below shows international postage charges for surface mail

    TYPE OF ARTICLE AND MAXIMUM MASS

    Countries within East African zone

    Countries within the rest of African zone

    Countries within Europe, Middle & Near East zone

    Australia, America and Far East zone

    LETTER

    Shs

    Cts

    Shs

    Cts

    Shs

    Cts

    Shs

    Cts

    Maximum mass 2kg

                   

    Upto 20g

    45

    00

    55

    00

    60

    00

    70

    00

    Over 20g upto 100g

    90

    00

    105

    00

    115

    00

    150

    00

    Over 100g upto 250g

    150

    00

    180

    00

    205

    00

    260

    00

    Over 250g upto 500g

    270

    00

    315

    00

    360

    00

    465

    00

    Over 500g upto 1kg

    450

    00

    525

    00

    600

    00

    770

    00

    Over 1 kg upto 2kg

    735

    00

    835

    00

    970

    00

    1335

    00


    Mwanzia sent a 20g letter to his cousin in Iraq (Middle East) a 160g letter to his friend in America and 144 kg letter to his uncle in Cameroon. How much did he pay for the postage of the letters? 
    A. Sh. 1055                       
    B. Sh. 1110 
    C. Sh. 1155                       
    D. Sh. 1210
  1. Construct triangle NPQ such that NPQ = 50° and line NP = 7cm and NQ = 5.5cm. Bisect angle PNQ and draw the bisector to meet PQ at R. What is the size of angle NRO?
    A. 103°                             
    B. 82°
    C. 56°                                
    D. 77°
  2. The diagram below represents a triangular prism. A semi-circular groove of radius 3.5cm has been curved out.
    mathset1-q38.PNG
    What is the volume of the solid? (Take π = 22/7)
    A. 1151.25cm3                   
    B. 862.50cm3
    C. 288.75cm3                     
    D. 1440cm3
  3. In a car park, there were cars, vans and buses. The number of buses was b. The number of cars was four times the number of buses. The number of vans was twelve less than buses. How many vehicles were in the parking area?
    A. 6b + 12                         
    B. 3b + 8
    C. 6b – 12                         
    D. 3b - 8 
  4. Asha bought 10 crates of tomatoes @sh. 2000. All tomatoes in two of the crates got damaged. She sold the remaining crates @sh, 2300. What percentage loss did she make?
    A. 8 16/23%                         
    B. 8%
    C. 15%                              
    D. 13 1/13%
  5. In a certain year a farmer sold 90 bags of cabbages, 225 bags of maize, 360 bags of wheat and 135 bags of beans. If these items were to be represented in a pie chart, what angle would represent the number of beans?
    A. 100                               
    B. 60°
    C. 40°                                
    D. 160°
  6. The fractions 6/7, 9/11, 11/13 and 14/17 are to be arranged in order from the smallest to the largest. Which one of the following is the correct order?
    A. 6/7, 11/13, 14/17 , 9/11
    B. 9/11, 11/13, 14/17, 6/7
    C. 6/7, 9/11, 11/13, 14/17
    D. 9/11, 14/17, 11/13, 6/7
  7. Sosion left school by bicycle at 10.15am and took 2hrs 10min to reach town 40km away. Mudzo left the school for town by matatu at 12.05pm. The average speed of the matatu was 60km/h. What was the difference between their arrival times?
    A. 20 minutes
    B. 40 minutes
    C. 1hr 30 min
    D. 1hr 50 min
  8. Which one of the expressions below is the simplest form of
    mathset1-q44.PNG
    A.
    mathset1-q44A.PNG
    B.
    mathset1-q44B.PNG
    C.
    mathset1-q44C.PNG
    D.
    mathset1-q44D.PNG
  9. The figure below represents a stack of cubes. The surface of the stack excluding the base was painted.
    mathset1-q46.PNG
    How many cubes were painted on two faces only?
    A. 12                                 
    B. 8
    C. 14                                 
    D. 1
  10. The figure below represents a design of a window. The design consists of a circle of diameter 28cm, squares of sides 20cm and a rectangular frame measuring 84cm by 48cm.
    The squares and circle are joined to the frame by lines each 10cm long.
    mathset1-q47.PNG
    What is the total length in cm of the metal needed to make the design? (Take π = 22/7)
    A. 404cm                          
    B. 308cm
    C. 572cm                          
    D. 488cm
  11. Construct a triangle ABC such that line AB = 7cm, angle ABC = 65° and angle ACB = 40'. What is the measure of line BC?
    A. 9.8cm                           
    B. 10.4cm
    C. 4.7cm                           
    D. 6.6cm
  12. During an election the winning candidate got 0.615 of the votes cast while the other two candidates got 0.198 and 0.183 respectively. There were 240 spoilt votes. How many votes did the winning candidate get?
    A. 60,000                           B. 59,760
    C. 11,880                           D. 36,900
  13. The graph below shows the number of school going children in each family in Karagita location.
    mathset1_q49.jpg
    How many school going children are in Karagita location?
    A. 570                               
    B. 1310
    C. 1240                             
    D. 1210
  14. The figure below shows a pattern of shapes. Which is the next shape in the pattern?
    mathset1_q50.jpg


ANSWERS

maths set 1 ms

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