Questions

1. Which of the following number is thirteen million thirteen thousand and thirteen in figures?
   1. 13 130 013
   2. 13 013 031
   3. 13 013 103
   4. 13 013 013
2. How many groups of two hundred are there in the value of digit 5 in the number 2 657 623.8?
   1. 2.5
   2. 25 
   3. 250
   4. 2 500
3. What is the value of
   
      0.42 x 0.70 x 53.4     
        9.8 x 0,03 x 17.8
   
   
   1. 30
   2. 3
   3. 0.3
   4. 0.03
4. The figure drawn below is a rectangle.
   
   What is the area of the rectangle?
   1. 320cm²
   2. 84cm²
   3. 640cm²
   4. 160cm²
5. What is 87 058 divided by 29?
   1. 32
   2. 302
   3. 3002
   4. 30 002
6.  What is the difference between the LCM of 12. 18 and 24 and the GCD of 36 and 48?
   1. 864
   2. 72
   3. 84
   4. 60
7. What is the value of:
   ¹/₂ ÷ ¹/₄ of ¹/₂ + (1 ²/₃ - ¹/₃)
   
   
   1. 5 ¹/₃
   2. 54 ¹/₃
   3. 2 ²/₃
   4. 3 ¹/₃ 
8. What is the next number in the pattern 2, 4.3, 6, 5, 8, 7, 10,........ ?
   1. 9
   2. 11
   3. 12
   4. 13
9. The figure below shows a quarterly cylindrical metal bar
   
   What is its surface area?
   1. 7232cm²
   2. 8 464cm²
   3. 9 872cm²
   4. 9284cm²
10. Thirty six men can do a certain job in twenty four days. How many more men are needed to complete the job in eighteen days?
    1. 48 :
    2. 24
    3. 18
    4. 12
11. The mean age of ten boys is 11.6 years. Nine of them arc 10, 18, 6, 14, 12.8. 12, 10 and 14years old. What is the product of the mode and median of the numbers?
    1. 12
    2. 24 
    3. 144
    4. 120
12. A businėss man borrowed sh. 240 000 from a bank that charged simple interest at the rate of 3% per month. How much was the amount after one year?
    1. Ksh86 400
    2. Ksh 326 400
    3. Ksh 7 200
    4. Ksh 247 200
13. What is twice the value of
    2x² - y + z
         z-y
    when x = 4, z = y 2 and y=x - 1
    1. 17 
    2. 24
    3. 12
    4. 34
14. Ochieng gave ²/₅ his land to his first born ¹/₄ to the second born. He gave ³/₇ of the remainder to the third born. If the fourth born got the remaining 84 hectares, how many hectares were given to the third born?
    1. 420
    2. 63
    3. 105 :
    4. 168
15. The rectangle below has been drawn to scale 1:50 000.
    
    What is the actual area in hectares?.. 
    1. 6
    2. 60
    3. 600
    4. 6 000
16. Wang'ombe paid sh. 47 600 for a generator after getting 15% discount. I low much more would he have paid if he had been given a 10% discount?
    1. Sh. 2 800
    2. Sh. 5 040
    3. Sh. 8 400
    4. Sh. 5 600
17. A 33 seater bus and 14-seater matatu were to transport-1 237 people to Bhukungu stadiun for Mashemeji derby. They all carried to the capacity except for the bus that made the extra final trip to carry the last group. Flow many people did the bus carry in the final extra trip?.
    1. 15
    2. 32
    3. 14
    4. 27
18. Using a ruler and a pair of compass, construct a triangle ABC such that line AB=8cm line BC = 7em and line AC=6cm. Draw a circle that touches points.
    What is the length of the radius of the circle?
    1. 2.0cm
    2. 8.3cm
    3. 4.2cm
    4. 3.9cm
19. In the figure below, line AC is parallel to line DE. Line BC = line CE = line CD . Angle ECD. 48°
    
    What is the size of the angle ABE?
    
    1. 123°
    2. 57°
    3. 66°
    4. 67°
20. A school has a total of 320 pupils, Each pupil was given 3 - 2dl packets of milk each week. How many litres of milk did they consume in two weeks?
    1. 38 400 l
    2. 3 840 l
    3. 384 l
    4. 38.4 l
21. The following stack of cubes was dipped in paint.
     
    The stack was dipped in paint. How many cubes got paint three laces?
    1. 36
    2. .8
    3. 10
    4. 12
22. Hassan went on holiday from 8th December 2019 to 8th March 2020. How many days was he for holiday?
    1. 90
    2. 91
    3. 92
    4. 93
23. In a school the ratio of boys 10 girls is 3:2 . There are 750 pupils in a school. During a sports competition 1/6 of the girls and 1/5 of the boys took part in the games. How many pupils took part in the games?
    1. 560
    2. 360
    3. 250
    4. 140
24. The table below shows the number of pupils who were absent in a class of 35 pupils in a certain week
    

    	Mon	Tue	Wed	Thur	Fri
    Boys	3	5	3	4	7
    Girls	2	4	7	0	5

    
    What was the mean daily attendance for the week?
    1. 35 .
    2. 135
    3. 40
    4. 27
25. Construct a parallelogram PQRS such that line PQ = 5cm and QR=7.5cm. Angle PSR = 135°. Join P to R and S to Q and let the point of intersection be at H
    What is the length of line SH?
    1. 2.6
    2. 2.4
    3. 5.8
    4. 11.6
26. What is the simplest form of
    
        2(x + 2y) +- x - 4y         ?
       4(2y – x) - 5y + 4x .
    
    
    1. ^3x/_3y
       
       
    2.   x + y  
          x -y
       
       
    3.   3x + 4y  
         3y - 4y
       
       
    4. ^x/_y
27. A sales girl is paid a basic salary of sh. 13 800 and a 6% commission on all the sales she makes above sh 70 000. In one month she earned a total of sh. 34 800. What was the value of her sales?
    1. Sh. 350 000
    2. Sh 420 000
    3. Sh. 21 000
    4. Sh. 371 000
28. The table below shows the number of vehicles sold at Maridady show room.
    

    Toyota	Mazda	Nissan	Isuzu	Suzuki	Mitsubishi
    160	80	150	90	96	144

    
    If this information was placed on a pic chart, what angle would represent the difference between Mistubishi and Mazda?
    1. 32°
    2. 72°
    3. 40°
    4. 64°
29. A Kampala bound bus left Nairobi on Wednesday at 6:45pm and the journey look lirs 30min. At what day and time did the bus get to Kampala?
    
    1. 0515hr Thursday 
    2. 06151 Thursday
    3. 0615hrs Wednesday
    4. 815hrs Wednesday 
30. A cylindrical water tank has a height of 4.0m and a diameter of 2.1m. If it is ³/₅ full water, how many more litres are required 10 fill the tank?
    1. 33 2641 
    2. 55 4401
    3. 27 7201 
    4. 22 1761
31. The figure below shows a triangle cut out of a semi-circle line AC 8cm and line BC 6cm. 
    
    What is the area of the shaded part?
    1. 39.25cm²
    2. 24cm²
    3. 15.25cm²
    4. 79.5cm²
32. Kanini bought the following items from a shop. 
    2kg of sugar @ Sh. 145
    6 - 500ml packets of milk @ 120 per litre.
    1 ¼ kg cooking for a Sh. 180 per kg
    3kg salt for Sh. 90
    6 -2kg packets of wheat flour @ 110  per kg.
    
    If he paid using 3 - 1 000 shilling notes,  how much balance did he get?
    1. Sh. 2 285
    2. Sh. 1015 
    3. sh. 1 985
    4. Sh. 715
33. A watch loses 10 seconds every two hours.  The watch was set correct on Thursday at  7:30am. What time did it show at 7:30pm  next Thursday?
    1. 7:15pm
    2. 7:16pm
    3. 7:29pm
    4. 7:45 pm
34. Kamren is three times as old as his daughter. The wife is 12 years older than the daughter.  If the wife is x years old, what is the sum of their ages?
    1. 5x + 36
    2. 5x - 48
    3. 4x -  12
    4. 2x - 12
35. What is the value of x in the equation
    ^x/₅ +    x-4   = 6
                 2
    1. 5 ⁵/₇
    2. 8 ⁵/₇
    3. 6 ³/₇
    4. 11 ³/₇
36. The table below shows the charges of buying a postal order. 
    

    Value of order in Sh	Commission
    500	63
    1 000	94
    2 000	132
    3 000	169
    4 000	210
    5 000	270

    
    Jamal wanted to send Sh. 9000 using postal order. Which of the following combination I of the value of orders should he buy to pay  the least commission?
    1.  Sh. 3 000, Sh. 3 000, Sh. 3 000
    2. Sh. 5000, Sh. 2000, Sh. 2000
    3. Sh. 4000, Sh. 4000, Sh, 1 000
    4. Sh. 5 000, Sh. 2000, Sh. 1000,
37. The area of a square piece of land is 5:7621 hectares. The land was fenced using live strands of wire. What is the length of wire used?
    
    1. 960m
    2. 3 600m
    3. 2400m
    4. 4800m
38. The figure drawn below is a right angled triangular prism. 
    
    What is its surface area?
    1. 3 600cm²
    2. 4140cm²
    3. 10800cm²
    4. 4800cm²
39. At Father Joseph Ichuni girls, pupils choose their favourite games as follow
    0.2 chose volleyball. :
    0.3 chose football.
    0.3 of the remainder chosen
    The rest chose handball.
    Those who chose volleyball were 160, How many pupils chose handball
    1. 280
    2. 240
    3. 400
    4. 120
40. The mass of an empty lorry is 4.32 tonnes. The lorry is loaded with 60-90kg bags of maize, 50-25kg of rice, 30-60kg bags and 50 bales of wheat flour each with 12 -2 kgs packets. What is the mass of the loaded lorry in kgs
    1. 9650kg
    2. 13 970kg
    3. 9654.32kg
    4. 12 970kg
41. In the figure below line AB is parallel to line CD. Line EF is transversal.
    
    Which of the following statement is true?
    1. Angle e = angle c
    2. Angle h + Angle b= 180° 
    3. Angle d is vertically opposite angle e
    4. Angle g + angle e = 180°
42. Ole Kamano harvested 1 200 bags of wheat in the year 2020. This was 20% decrease from the year 2019. He later sold 80% of all the bags at Sh. 4200 per bag, How much money did he get?
    1. Sh.2160
    2. Sh. 9 072 000
    3. Sh. 4 032 000
    4. Sh. 11 340 000
43. Hannah bought 50 pineapples at 72 and paid sh. 400 for transport. She sold all the pineapples at sh. 100. What percentage profit did she make?
    1. 25%
    2. 40%
    3. 10%
    4. 33 ¹/₂%
44. Osman had sh. m. Hassan had sh. 30 less than Osman while Abdi had half is much as the sum of Osman and Hassan. Which equation will represent this information if the total amount of mone3y was sh. 720? .
    1. 2m - 30 = 720
    2. 3m - 45 = 720
    3. 2m - 45 =- 720
    4. 4m - 60 = 720
45. The table below shows the timetable for a bus in a certain route from Town A to town E.
    

    Town	Arrival time	Departure time
    A	______	6:30 am
    B	8:20 am	8:35 am
    C	10:15 am	10:30 am
    D	12:10pm	12:35pm
    E	2:15 pm

    
    If he drove at a speed of 90km/hr from town D to town E, what is the distance between the two towns?
    1. 90km
    2. 120km
    3. 180km 
    4. 150km
46. Below is a net of a solid.
    
    When folded which solid was formed?
    1. Rectangular pyramid
    2. Triangular prism
    3. Triangular pyramid
    4. Rectangular prism
47. The table below shows the fare table to different towns.
    
    Kamau, his wife and three sons travelled from town A to town E via town C. How much money did he pay if the children paid half the fare?
    1. Sh. 1 120
    2. Sh. 630
    3. Sh. 1 330
    4. Sh. 1 200
48. The figure below shows a circle cut out from a square.
    
    What is the area of the shaded part?
    1. 168cm²
    2. 784cm²
    3. 616cm²
    4. 308cm²
49. A bus travelling at a speed of 90km/hr covered a distance in 6 hours. At what speed should it move to cover the same distance in 4 hours? 
    1. 120km/h
    2. 135km/h 
    3. 60km/h
    4. 90km/h
50. The graph below shows the journey by Kipkewao travelling from town A to town B, a distance of 120km. After travelling for one hour, the vehicle got a puncture which took one hour to mend.
    
    What was the average speed aftcr resuming thc journey?
    1. 30km/h
    2. 32km/h
    3. 24km/h
    4. 26 ²/₃ km/h

Marking Scheme

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