QUESTIONS

1. What is six million, sixty thousand six hundred and sixty and six thousandth written in symbols?
   1. 6060660.6
   2. 6060660.06
   3. 6060660.006
   4. 6660660.006
2. How many times is the value of digit 8 more than the value of digit 2 in the number 850265?
   1. 788800
   2. 4000.
   3. 1000
   4. 4
3. What is 899470 rounded off to the nearest ten thousand?
   1. 900000
   2. 890000
   3. 899000
   4. 900470
4. Which is the highest number that can divide 36, 40 and 48 without a remainder?
   1. 720
   2. 180
   3. 8
   4. 4
5. What is the value of
   4(3²+5²)- 6 x 8 + 2
                7x8
   
   1. 2
   2. 9²/₇
   3. 14
   4. 16
6. The mean of six numbers is 5²/₃. Five of these numbers are 6, 4, 8, 9 and 4. What is the value of the sixth number?
   1. 6
   2. 3
   3. 5
   4. 4
7. The area of a square garden is 3136m. It was fenced around using four strands of barbed wire. What length of the wire was used?
   1. 56m
   2. 224m
   3. 784m
   4. 896m
8. How many days were there from 3rd January to 2nd April 2020?
   1. 89
   2. 90
   3. 91
   4. 92
9. Murimi deposited sh. 13800 in a bank that gave simple interest at the rate of 5%p.a. How much money was in his account after 30 months?
   1. 15525
   2. 420900
   3. 434700
   4. 1725
10. A rectangular tank 2.1m long. 0.2m wide and 1.0m high is full of water. How many litres of water can it hold when half full?
    1. 210
    2. 21
    3. 42
    4. 420
11. Find the area of the triangle below
    
    
    1. 84.5cm²
    2. 60cm²
    3. 30cm²
    4. 156cm²
12. A trader sold an item at shs. 550 making a 10% profit. How much profit did she make?
    1. sh. 500
    2. sh. 495
    3. sh. 540
    4. sh. 50
13. Ten workers can do a certain job in 16 days. If two of the workers did not turn up for the job, how many more days did the job take?
    1. 20
    2. 12⁴/₅
    3. 4
    4. 3¹/₅
14. In a meeting, of the attendants were men, of the remainder were women and the rest were children. If there were 252 children, how many women were in the meeting?
    1. 112
    2. 126
    3. 84
    4. 448
15. In the figure below, line KG is parallel to line JH Line KH = KJ. Angle KHG 28°. What is the size of angle HKJ?
    
    
    1. 28º
    2. 56º
    3. 124º
    4. 62º
16. After the fare was increased by 20%, a passenger travelling from Nairobi to Nakuru now pays sh. 600. What was the fare before the increase?
    1. sh. 500
    2. sh. 720
    3. sh. 480
    4. sh. 100
17. A man bought a machine on hire purchase terms. He paid sh. 6600 as deposit and 6 equal monthly instalments of sh. 900 per month. The hire purchase price was sh. 3200 more than the cash price. Calculate the cash price of the machine.
    1. sh. 12000
    2. sh. 15200
    3. sh. 9800
    4. sh. 8800
18. The daily wage of workers in a construction site was raised from sh. 480 to sh. 600. I what ratio was it increased?
    1. 4:5
    2. 1:4
    3. 5:4
    4. 4:1
19. Work out:
    0.35 x 9.6 x 1.08
     1.4 × 0.24 × 18
    1. 6
    2. 0.6
    3. 600
    4. 0.06
20. The actual distance between two towns is 4.2km. It is represented on a map by a line whose length is 7cm. What is the scale used in the map?
    1. 1: 60000 
    2. 1:60
    3. 1: 6000
    4. 1:600000
21. Calculate the area of the figure below
    
    
    1. 108cm²
    2. 52cm²
    3. 48cm²
    4. 104cm²
22. A sales girl earns a basic salary of sh. 10000 plus 5% commission on all sales she makes. In a month she sold goods worth sh. 200000. How much commission did she get that month?
    1. sh. 10000 
    2. sh. 30000
    3. sh. 20000
    4. sh. 15000
23. The table below shows arrival and departure time for a bus of a certain route from town A to town E
    

    Town	Arrival	Depature
    A		8:30 am
    B	9:30 am	9:35 am
    C	11:40 am	12:10 pm
    D	2:45 pm	3:00 pm
    E	4:45 pm	5:00 pm

    How long does it take the bus to travel from town C to town E?
    1. 5 hr 05 min
    2. 4 hr 35 min
    3. 4 hr 45 min
    4. 4hr 50 min
24. Kemand Marsha shared some money in the ratio 4. Marsha got sh. 3600 more than Ken. How much money in total were they sharing?
    1. Sh. 25200
    2. sh. 10800
    3. sh 14400
    4. sh. 3600
25. What is the value of 2x - y + z ?
                                       n
    If x = 3,n=x+1, z=n+1,y=¹/₂n
    1. 6
    2. 12
    3. 8
    4. 7
26. The pie chart below shows how Omunga spends his monthly salary of sh. 36000.
    
    How much more does he spend on school fees than on entertainment?
    1. sh. 2400
    2. sh. 96001
    3. sh. 7200
    4. sh. 12000
27. The number of elephants at Tsavo National park increased by 4500 to 18000. What was the percentage increase?
    1. 25%
    2. 20%
    3. 40%
    4. 33¹/₃%
28. Calculate the volume of the cylindrical container below in m³.
    
    
    1. 788480m³
    2. 0.78848m³
    3. 788.48m³
    4. 7884.8m³
29. Four boys contributed money as follows John 0.16, Tony 0.26, James 0.36 and Reagan the rest. If the total amount contributed was sh. 2400, how much money was contributed by Reagan?
    1. sh. 528
    2. sh. 384
    3. sh. 864
    4. sh. 624
30. Kyalo bought the following items from a shop:
    2-2kg packets of wheat flour @sh. 120
    3kg of sugar@sh. 112
    1¹/₂kg of salt for sh 45
    3 litres of cooking oil @ sh. 165
    3 rolls of tissue papers for sh. 90
    How much balance did he get if he paid using 3-sh. 500 notes?
    1. sh. 1206
    2. sh. 294
    3. sh. 1266
    4. sh. 234
31. What is the value of x in the equation?
    ²/₅x + 36 = 4x
    
    1. 10
    2. 5
    3. 18
    4. 9
32. The marked price of a T.V. set is sh. 24000. Kamau paid sh. 21120. What percentage discount did he get?
    1. 13.6%
    2. 12%
    3. 18%
    4. 20%
33. The area of a right angled triangle is 30cm2. The length of the shortest side is 5cm. What is the perimeter of the triangle?
    1. 24cm
    2. 12cm
    3. 30cm
    4. 13cm
34. A bus left Mombasa for Nairobi at 9.45pm on Thursday. The journey took 9hrs At what day and time did the bus get to Nairobi?
    1. Thursday 7.30am
    2. Thursday 8.30pm
    3. Friday 8.30 am
    4. Friday 7.30am
35. The figure below shows a table mat
    
    What is the perimeter of the table mat?
    1. 280cm
    2. 143cm
    3. 468cm
    4. 286cm
36. A loaded lorry weighs 5.24 tonnes when loaded with some bags of maize of 90kg each. If the mass of the empty lorry weighs 2 tonnes how many bags were loaded?
    1. 36
    2. 18
    3. 20
    4. 40
37. Simplify the inequality below
    4x+5>17+2x
    1. x=6
    2. x>6
    3. x<6
    4. 6>x
38. Express 2¹/₄% into a fraction in its simplest form
    1. 44⁴/₉
    2. ⁹/₁₀₀
    3. ⁹/₄₀₀
    4. 2¹/₄
39. Find the area of the figure below in square centimeters.
    
    
    1. 106cm²
    2. 480cm²
    3. 400cm²
    4. 660cm²
40. Asha had M bananas, Nelly had 3 more bananas than Asha. Fatuma had 2 more bananas than both Asha and Nelly. How many bananas had they altogether?
    1. 3m +6
    2. 2m+5
    3. 12m
    4. 4m +8
41. Mary had 2-20 litre containers of milk. She packed the milk into packets of 250ml each. How many packets did she obtain?
    1. 10
    2. 160
    3. 5
    4. 80
42. Construct triangle ABC in which line AB=6cm, BC 4.5cm and angle ABC 120°. Draw a circle that passes through points A, B and C. What is the radius of the circle?
    1. 5.3cm
    2. 3.6cm
    3. 7.2cm
    4. 10.6cm
43. Which of the following measurements can make a right angled triangle?
    1. 5cm, 12cm, 15cm.
    2. 9cm, 16cm, 25cm
    3. 6cm, 8cm, 12cm
    4. 14cm, 48cm, 50cm
44. The following are properties of a quadrilaterals;
    1. All sides are equal
    2. Diagonals are equal
    3. Diagonals bisect each other at 90º
    4. Diagonals bisect corner angles
    5. Opposite angles are equal
       Which of the above properties are of a rhombus?
       1. (i), (ii), (iii), (iv)
       2. (ii), (iii), (iv), (v)
       3. (i), (iii), (iv), (v)
       4. (ii), (iii), (v), (iv)
45. Below is a table showing charges for sending money through the post office using money order.
    

    Value of order	Commission (sh)
    Upto sh. 500	78
    501 - 1000	104
    1001 - 3000	160
    3001 - 5000	208
    5001 - 10,000	350

    Mitchelle sent two money orders each sh. 8500 and another one of sh. 1000. How much did she pay at the post office?
    1. sh. 804
    2. sh. 9954
    3. sh. 18804
    4. sh. 454
46. A wheel has a radius of 35cm. How many kilometres does it cover in 2000 revolutions?
    1. 2.2
    2. 4.4
    3. 4400
    4. 2200
47. A cylindrical tin has a radius of 14 cm and a height of 10cm. It has a label placed around the curved surface. What is the area of the label?
    1. 880cm²
    2. 616cm²
    3. 1416cm²
    4. 1232cm²
48. What is the area of the shaded part below in cm²?
    
    
    1. 187.25cm²
    2. 294cm²
    3. 481.25cm²
    4. 374.5cm²
49. Work out 3/4 - 1/2 of 4/5 ÷ 2/3
    1. ⁷/₂₀
    2. ¹¹/₂₀
    3. ⁹/₂₀
    4. ³/₂₀
50. Which of the following nets can be used to make an open square prism?
    

MARKING SCHEME

QUESTIONS

1. What is the sum of nine million seventy eight thousand seven hundred and sixty nine and eight hundred and sixty nine thousand eight hundred and forty seven written in words?
   1. One million eight hundred and forty eight thousand six hundred and sixteen.
   2. Ninety nine million four hundred and eighty six thousand six hundred and sixteen.
   3. Nine million eight hundred and thirty seven thousand five hundred and six.
   4. Nine million nine hundred and forty eight thousand six hundred and sixteen.
2.  What is the place value of digit 8 after working out the product of 0.857 and 7.24?
   1. Ones
   2. Eight hundred thousandths
   3. Hundred thousandths
   4. Ten thousandths.
3. What is the value of,
   3(7²+5²)-7
        3²-4
   1. 43
   2. 45
   3. 44
   4. 421
4. Etyang joined six equal square papers of side 13cm to make one big rectangle. What was the perimeter of the rectangle formed?
   1. 52cm
   2. 130cm 
   3. 312cm 
   4. 104cm
5. Which is the least number that can be divided by 14, 28, 35 and 56 without a remainder?
   1. 7
   2. 140
   3. 280
   4. 560
6. Which of the following expressions is correct?
   1. ¹/₄ of ¹/₂ > ³/₄
   2. ⁸/₉ > ⁴/₅
   3. ²/₃ = ⁴/₉
   4. 37.92 + 0.854 < 50 - 12.236
7. What is 600217 rounded off to the nearest hundred thousand?
   1. 0
   2. 600000
   3. 1000000
   4. 100000
8. Arrange the following fractions in ascending order.
   ¹/₅ , ²/₃ , ⁴/₅ , ³/₄
   1. ¹/₅, ²/₃, ³/₄,⁴/₅
   2. ¹/₅, ⁴/₅, ³/₄,²/₃
   3. ¹/₅, ²/₃, ³/₄,⁴/₅
   4. ⁴/₅, ³/₄, ²/₃,¹/₅
9. In the figure below, line XY is parallel to line TZ. Line XT-XY. Line XZ and TY are transversal. Angle YTZ-30°. What is the size of angle TXY?
   
   
   1. 110°
   2. 80°
   3. 60°
   4. 120°
10. What is the simplified form of the inequality below?
    3x-4 > 2x-3
       5        3
    1. x<3
    2. x>3
    3. x<27
    4. 27>7
11. Diana packed 300 textbooks in a box. The total mass of the box became 52kg. What was the mass of each textbook if the mass of an empty box was 2.8kg?
    1. 49.2kg
    2. 164g
    3. 173¹/₃g
    4. 18400g
12. Three brothers Mulandi, Mutuku and Mutheru saved sh. 35, sh.24 and sh. 42 respectively on daily basis from their business. How much money did they save in the month of June, July and August altogether?
    1. Sh. 9292
    2. Sh. 101
    3. Sh. 3255
    4. Sh. 9393
13. A wheel covers a distance of 7.04km after making 2000 revolutions. What is the radius of the wheel?
    1. 56cm
    2. 88cm
    3. 352cm
    4. 112cm
14. A box measures 30cm long, 12cm wide and 15cm deep. What is its outer surface area if it is open on both the top and bottom?
    1. 450cm²
    2. 5400cm²
    3. 1260cm³
    4. 630cm²
15. The figure below shows a circle drawn inside a square.
    
    What is the area of the unshaded part?
    1. 42cm²
    2. 658cm³
    3. 616cm²
    4. 126cm²
16. What is the value of k in the equation?
    2(k-6) = 2
        5       3
    1. 7²/₃
    2. 7
    3. 2²/₃
    4. 11
17. Amani left home for a journey on 11th February 2020 and returned back to his home after 40 days. On which day and month did he return home? 
    1. March 23rd
    2. March 22nd
    3. March 11th
    4. March 21st
18. A hawker sold 2 pairs of leather shoes for sh. 3630. If he made 10% profit, what was the buying price of one pair of shoes?
    1. Sh. 3300
    2. Sh. 1815
    3. Sh. 3620
    4. Sh. 1650
19. A county government distributed sh. 213512 equally among 52 families. How much money did each family get? 
    1. Sh. 4016
    2. Sh. 4160
    3. Sh. 4106
    4. Sh. 416
20. The price of sugar was sh.7300 in December. It was decreased in the ratio 3:4. What was its new price after the decrease?
    1. Sh. 5475
    2. Sh. 7266
    3. Sh. 9733.33
    4. Sh. 6475
21. The distance between two towns on a map is 7.8cm. If the scale used is 1:20000, what is the actual distance between the two towns in metres? 
    1. 15.6m
    2. 1560m
    3. 15600m
    4. 156000m
22. The following are properties of quadrilaterals.
    1. Interior angles add up to 360° 
    2. Diagonals are equal.
    3. Have two pairs of parallel lines.
    4. Opposite sides are equal.
    5. Co-interior angles add up to 180°.
    6. Diagonals bisect at right angles.
       Which of the above properties applies to both rhombus and a rectangle? 
       1. (i), (ii) and (iii).
       2. (i), (ii) and (v)
       3. (i), (iii) and (v)
       4. (iii), (v), and (vi)
23. The perimeter of the isosceles triangle below is 64cm. What is its area?
    
    
    1. 60cm²
    2. 300cm²
    3. 168cm²
    4. 25cm²
24. What is the value of
    ⁵/₈ + ²/₃ of (¹/₃ - ¹/₆) + ²/₉
    1. 1¹/₈
    2. 1⁵/₈
    3. 2⁵/₈
    4. 1¹⁵/₁₆
25. A shopkeeper bought 10 trays of eggs at sh. 255 per tray. 45 eggs broke and sold the rest making a profit of 20%. What was the selling price of each egg if a tray holds 30 eggs?
    1. Sh. 45
    2. Sh. 10
    3. Sh. 18
    4. Sh. 12
26. What is value of 4y²+5bk-k²y when y=b+3,k-y-2 and b=5?
    1. 118
    2. 128
    3. 406
    4. 2960
27. The figure below represents a semi- circular flower garden. If flowers were planted at regular intervals of 2m apart round the flower garden, how many flowers were planted?
    
    
    1. 54
    2. 27
    3. 28
    4. 108
28. Wema hired 11 men to dig his piece of land in 16 hours. How many more hours did it take to complete the job if 3 men did not turn up?
    1. 22
    2. 7
    3. 6
    4. 108
29. An aeroplane took 6 hours 48 minutes to travel from Accra to Nairobi. If it reached Nairobi at 0600hrs on Friday, On which day and time had it left Accra in am/pm clock system?
    1. Tuesday 2:45pm
    2. Thursday 11:12pm
    3. Friday 12:48pm
    4. Thursday 11:12am
30. Construct triangle XYZ in which line XY-7cm, YZ-8cm and angle XYZ-80°. Draw a circle touching points X, Y and Z of the triangle. What is the radius of the circle?
    1. 4.6cm
    2. 2.5cm
    3. 2.9cm
    4. 5.0cm
31. Mulwa shared his piece of land among his three sons and wife. The first son got two fifth of the land, the second son received a third of the land, the last son received three quarter of the remainder and his wife received the rest. If his wife received Sha of land, what was the total size of land given to all the sons?
    1. 80ha
    2. 75ha
    3. 70ha
    4. 85ha
32. Zakaria deposited sh.276000 in a bank that offered simple interest at the rate of 13% p.a. How much money did he earn if he withdrew all his money after 1¹/₄ years?
    1. Sh. 448500
    2. Sh. 320850 
    3. Sh. 231150
    4. Sh. 4485000
33. A school has 630 children. Each child is given two-2dl packets of milk every Monday, Wednesday and Thursday.
    How many litres of milk do they consume in one week?
    1. 75.6L
    2. 7560L
    3. 756L
    4. 7.56L
34. The floor of an office measures 19m by 14m. A carpet is laid in the office leaving a uniform margin of 3m all round. What is the area of the floor not covered by the carpet?
    1. 90m²
    2. 104m²
    3. 266m²
    4. 162m²
35. Which of the following numbers is divible by 11?
    1. 44737
    2. 55731
    3. 61641
    4. 88537
36. What is the sum of the next two numbers in the pattern? 1, 15, 37, 67,..................
    1. 46
    2. 84
    3. 130
    4. 256.
37. The hire purchase of a machine is 30% more than the cash price. Janet paid 8 monthy instalments of sh.1500 each. How much deposit did she pay if the cash price was sh. 12000?
    1. Sh. 4000
    2. Sh. 15600
    3. Sh. 3600
    4. Sh. 40000
38. A watch loses 5seconds every hour. If it is set right on Saturday at 11:00am, what time will it show after one week? 
    1. 11:14am
    2. 10:46am
    3. 11:14pm
    4. 10:46pm
39. Jembe bought the following items from a shop.
    -5 tins of cooking oil@sh. 180 3 loaves of bread for sh.180
    -6 kilograms of rice @ sh.115
    -4-500ml packets of milk @ sh. 65 per litre.
    If he received a balance comprising of five 20 sh. coins, how much money did he give to the shopkeeper?
    1. Sh. 1900
    2. Sh. 3000
    3. Sh. 2030
    4. Sh. 2000
40. The table below shows the number of pupils and their favourite meals.
    

    Meal	Meat	Beans	Ugali	Chips	Githeri
    No. Pupils	10	12	6		4

    If there were 48 pupils in the class, what angle would represent those who chose chips on the pie chart?
    1. 120º
    2. 108º
    3. 75° 
    4. 105º
41. Joolo is six years younger than Jona and two years older than Ekipi. If Joolo is x years old now, which of the following expressions represents the sum of their ages 5 years to come? 
    1. (3x+15) years
    2. (3x+19) years
    3. (3x+21) years
    4. (3x-19) years
42. A rectangular piece of land measuring 12m by 5m has the same area as another triangular plot with a perpedicular height of 8m. What is the length of the base of the triangular plot?
    1. 17m
    2. 7¹/₂m
    3. 15m
    4. 30m
43. What is the value of
       0.64 x 4.8  
      0.8 x 0.012
    1. 0.32
    2. 0.032
    3. 32
    4. 320
44. The cylinder below has a volume of 9240cm³. If its height is 15cm, what is its diameter?
    
    
    1. 14cm
    2. 196cm
    3. 28cm
    4. 32cm
45. Ombina gets a 25% loss if he sells an article at sh. 225. At what price should he sell it to make a profit of 15%? 
    1. Sh. 300
    2. Sh. 258.75
    3. Sh. 120
    4. Sh. 345
46. How many more cubes are needed to fill the box below?
    
    
    1. 22
    2. 50
    3. 60
    4. 10
47. Which of the following measurements can be used to construct a right-angled triangle?
    1. 4¹/₂ cm, 6cm,9cm
    2. 3³/₄ cm, 5¹/₄ cm, 6cm
    3. 9cm, 12cm, 15cm
    4. 5¹/₄ cm, 9cm, 11¹/₄ cm
48. The diagram below shows a net of a solid.
    
    What is the sum of vertices and edges of the solid formed when the net is folded?
    1. 15
    2. 21
    3. 20
    4. 26
49. The average mass of 6 boys is 54kg. When the mass of their teacher is added, their mean mass becomes 56kg. What is the mass of their teacher?
    1. 56kg
    2. 68kg
    3. 78kg
    4. 80kg
50.  The bar graph below shows a journey of two motorists from town R to town T.
    
    How far from town R was the lorry when the car completed the journey?
    1. 20km
    2. 180km
    3. 160km
    4. 120km

MARKING SCHEME

QUESTIONS

1. Which one of the following is sixty eight million, two hundred and four thousand and fifteen hundredths? 
   1. 68240000.015
   2. 68204000.15
   3. 68204000.015
   4. 6820400.15
2. What is the difference between the total values of digit 4 and 3 in the number 865.41329?
   1. 0.4
   2. 0.003
   3. 0.397
   4. 0.403
3. What is 38.3467 rounded off to the nearest hundredths?
   1. 38.3500
   2. 38.345
   3. 38.35
   4. 38.340
4. Which of the following numbers is not divisible by 11?
   1. 40579
   2. 109857
   3. 162383
   4. 110011
5. What is the square root of 7¹⁸/₄₉?
   1. 2⁵/₇
   2. 7⁶/₇
   3. 3⁵/₇
   4. 54³⁷/₄₉
6. Work out ³/₄ of (6³/₄ + 1¹/₂)
   1. 8¹/₄
   2. 5¹/₆
   3. 6⁹/₁₆
   4. 6³/₁₆
7. In the diagram below, PQ is parallel to RS and XY is the transversal.
   
   What is the size of angle marked 't'?
   1. 60°
   2. 120°
   3. 80°
   4. 40°
8. What is 0017hr in the am/pm clock system?
   1. 00.17 am
   2. 24.17 am
   3. 12.17 am
   4. 12.17 pm
9. A square room has an area of 1225 m².
   What is the perimeter of the room?
   1. 180 m
   2. 306.25 m
   3. 100 m
   4. 140 m
10. What is the smallest number that can be divided by 16, 24 and 48 without a remainder?
    1. 48
    2. 96
    3.  8
    4. 88
11. Express 3:4 as a percentage.
    1. 42%
    2. 75%
    3. 30%
    4. 133¹/₃%
12.  Arrange, ⁵/₆ , ⁷/₈ , ⁹/₁₁ and ³/₄ from the largest to the smallest.
    1. ⁷/₈ , ⁵/₆ , ⁹/₁₁ , ³/₄ 
    2. ³/₄ , ⁵/₆ , ⁷/₈ , ⁹/₁₁
    3. ⁹/₁₁, ⁷/₈ , ⁵/₆ , ³/₄
    4. ³/₄ , ⁹/₁₁ , ⁵/₆ , ⁷/₈
13. Calculate the area of the figure below.
    
    
    1. 55 cm³
    2. 100 cm²
    3. 375 cm²
    4. 322 cm²
14. What is the value of
    36÷9+3x2-6÷3x5+4?
    1. 18
    2. 4
    3. 12
    4. 9
15. Phaustine had 120 kg of sugar. She packed it into ³/₄ kg packets. How many packets did she pack altogether?
    1. 90
    2. 160
    3. 480
    4. 30
16. Find the sum of the next two numbers in the sequence: 4, 9, 25, 49, 121,............., ...................?
    1. 169
    2. 458
    3. 289
    4. 225
17. A box measures 1.5m by 0.8m by 0.4m.
    Find its volume in cm³.
    1. 480
    2. 0.48
    3. 48000
    4. 480000
18. Njoki bought the following items from a market:-
    3kg carros at sh. 25 per kg
    1¹/₂ kg onions@sh. 30
    2 kg cabbages @ sh. o
    What balance did she get if she get if she gave the vender a two hundred shillings note?
    1. Sh. 48
    2. Sh. 71
    3. Sh. 152
    4. Sh. 129
19. Evaluate: 4.8 x 3.05
                        0.06
    1. 2.44
    2. 24.4
    3. 0.244
    4. 244
20. Which of the following properties is not true about a rectangle?
    1. Each angle is a right angle.
    2. It is a quadrilateral.
    3. Opposite sides are equal.
    4. All sides are equal.
21. During a celebration, there were 780 men present. There were 150 more women than men. How many adults attended the celebration?
    1. 1710
    2. 930
    3. 1410
    4. 630
22. Motungi sold an item for sh. 4400 making a profit of 10%. How much was the profit?
    1. Sh. 440
    2. Sh. 4000
    3. Sh. 400 
    4. Sh. 39600
23. Ndung'u had 60 Heads of cattle and 80 goats. He increased his cattle by 30% and decreased his goats by 20%. How many animals does he have now?
    1. 412
    2. 142
    3. 214
    4. 124.
24. The diagram below represents Okello's plot.
    
    Calculate the perimeter of the plot in metres.
    1. 280 m
    2. 208 m
    3. 256 m
    4. 184 m
25. Draw a triangle ABC in which AB 9 cm and line AC = BC= 7 cm. Drop a perpendicular line from point C to meet line AB at X. Measure line CX. 
    1. 5.3 cm
    2. 4.5 cm
    3. 6.0 cm
    4. 4.2 cm
26. What is the size of angle y in the figure below?.
    
    
    1. 80°
    2. 100°
    3. 40°
    4. 60°
27. Mary bought a radio after she was given a discount of 15%. If the marked price of the radio was sh. 1800. How much did she pay for the radio?
    1. Sh. 270
    2. Sh. 2070
    3. Sh. 1530
    4. Sh. 1785
28. Decrease 480 in the ratio 5:6.
    1. 400
    2. 576
    3. 552
    4. 560
29. Solve for the value of x in:
    x-2 + 3x+6 = 4
      3       4
    
    1. 2¹²/₁₃
    2. 3¹/₁₂
    3. 4⁶/₁₃
    4. 2³/₈
30. The hire purchase price of a bicycle is sh. 6400. Alice paid sh. 900 as deposit and the balance in 10 equal monthly instalments. How much was each monthly instalment?
    1. Sh. 730
    2. Sh. 5500
    3. Sh. 7300
    4. Sh. 550
31. What is the value of the angle marked 'q' in the figure below.
    
    
    1. 80°
    2. 100°
    3. 120°
    4. 20°
32. The surface area of a pipe is 990 cm3. What is its radius if its height is 15 cm?
    1. 21 cm
    2. 66 cm
    3. 10.5 cm
    4. 33 cm
33. Construct triangle XYZ such that line XY-8cm, angle ZYX=45° and angle YXZ-55°. Draw a circle touching the sides of the triangle. What is the diameter of the circle?
    1. 3.8 cm
    2. 3.4 cm
    3. 1.9 cm
    4. 1.7 cm
34. Debrah left Ruga at 9.45am to travel to Osami a distance of 350 km. Her average speed was 79 km/h. At what time in 24 hr clock system did she arrive at Osoni?
    1. 0445 hr
    2. 1045 hrs
    3. 2.45 hrs
    4. 1445 hrs
35. The pie chart below shows how Oduor spent his salary of sh. 6000.
    
    How much money did he spend on food than on rent?
    1. Sh. 1500
    2. Sh. 500
    3. Sh. 2000
    4. Sh. 3500
36. Work out: √0.0576 + (0.1)²
    1. 0.34
    2. 0.24
    3. 0.25
    4. 0.124
37. A cylindrical container has a base area of 616 cm² and a height of 10 cm. How many decilitres of water does it hold when half full?
    1. 308
    2. 616
    3. 30.8
    4. 61.6
38. A 1¹/₂ hr meeting started 25 minutes late and ended at 4:15 pm. At what time was the meeting supposed to start?
    1. 2.20 pm 
    2. 3.10 pm
    3. 2.45 pm
    4. 3.50 pm
39. On a map, the length of a river is represented by 10 cm. If its actual distance is 80 km. What is the scale used in the map?
    1. 1:800000
    2. 1:8000
    3. 1:8000000
    4. 1:80000
40. Calculate the area of the triangle below.
    
    
    1. 78 cm²
    2. 30 cm²
    3. 60 cm²
    4. 5 cm²
41. A safari Rally car travelled at a speed of 50m/s. What was its speed in km/h?
    1. 50 km/h
    2. 300 km/h
    3. 180 km/h
    4. 83 km/h
42. Find the volume of the cylindrical tank below. (π = ²²/₇)
    
    
    1. 7700 cm³
    2. 3080 cm³
    3. 770 cm³
    4. 1540 cm³
43. In the year 2016, 18th February was on a Monday. Which day was 8^th March the same year?
    1. Monday
    2. Friday
    3. Saturday
    4. Wednesday
44. The height of 4 boys is 120 cm, 121 cm, 112 cm and 119 cm. Find the median height.
    1. 121 cm
    2. 123 cm
    3. 120 cm
    4. 119.5 cm
45. What is the area of the figure below?
    
    
    1. 1344 cm²
    2. 2576 cm³
    3. 1196 cm²
    4. 14562 cm²
46. Find twice the square root of 1⁷/₉.
    1. 1¹/₃
    2. 2²/₃
    3. ⁴/₉
    4. 3¹³/₈₁
47. A farmer sold 2.5 tonnes of maize to a shopkeeper who later packed it into 2kg packets. How many packets did he obtain?
    1. 1250
    2. 125
    3. 2500
    4. 5000
48. If p=5,q=p=2 and r=pq. Find the value of:
    2p+5q
        p
    
    1. 25
    2. 30
    3. 5
    4. 15
49. 15 boys can take 9 hours to clean a hall. How many more hours will 9 boys take to clean the same room?
    1. 15
    2. 6
    3. 4
    4. 9
50. Ongang'a Primary school boys planted trees along both sides of their 100m path from the gate to the staffroom. How many trees did they plant if they spaced them at intervals of 2.5 m?
    1. 41
    2. 40 
    3. 82
    4. 80

MARKING SCHEME

QUESTIONS

1. Which one of the following numbers is three million two hundred thousand one hundred and four written in symbols?
   1. 3200104
   2. 3020104
   3. 3200014
   4. 32001004
2. Which one of the following numbers has the smallest value?
   1. 333030
   2. 303303
   3. 330330
   4. 303033
3. A rectangular tank is 5m long, 3m wide and 2m high. How many litres of water does the tank hold when full?
   1. 30
   2. 3000
   3. 30000
   4. 300000
4. What is the number 39853 when rounded off to the nearest thousand?
   1. 39000
   2. 39850
   3. 39900
   4. 40000
5. What is the place value of digit 5 in the number 2050078?
   1. Thousands
   2. Ten thousands
   3. Fifty thousand
   4. Hundred thousand
6. What is the value of 24 x 3 + 24 ?
                                       8+4
   1. 8
   2. 15
   3. 30
   4. 72
7. What is the value of 8² x 72
                                    16 x 6²
   
   1. 2
   2. 4
   3. 8
   4. 36
8. What is 43.1509 correct to three decimal places?
   1. 43.2
   2. 43.15
   3. 43.150
   4. 43.151
9. The marked price of a pair of shoes was sh 1000. During sales the price was reduced to sh 800. What was the percentage decrease in price?
   1. 200%
   2. 80%
   3. 25%
   4. 20%
10. What is the Least Common Multiple (LCM) of 15, 18 and 24?
    1. 360
    2. 180
    3. 120
    4. 3
11. The table below shows the marks scored by four pupils in two Mathematics test.
    

    Pupil	1st test	2nd test
    Makhoha	66	44
    Turia	32	32
    Ali	64	48
    Nkirote	60	36

    Which pupil had the highest mean score of the two tests?
    1. Makhoha
    2. Turia
    3. Nkirote
    4. Ali
12. What is the ratio 4:5 expressed as a percentage?
    1. 45%
    2. 54%
    3. 80%
    4. 125%
13. Figure PQSR below is a rhombus. Line QR is one of the diagonals and angle SRQ-80°. Line SQT is a straight line.
    
    What is the size of angle PQT?
    1. 20°
    2. 50°
    3. 80°
    4. 160°
14.  The registration of KCPE candidates in a certain school took place between 4th February and 4 April, 2022. For how many days did the registration took place?
    1.  59
    2. 58
    3. 57
    4. 60
15. What is the value of 2.7x3.2x1.8 ?
                                    0.09x0.4x5.4
    1. 0.008
    2. 0.8
    3. 8
    4. 80
16. A rectangular container is 2.5m long, 1.5m wide and 1.2m high. What is the volume of the container in cubic centimetres?
    1. 4.5
    2. 450
    3. 450000
    4. 4500000
17. The radius of an open cylindrical container is 6.3cm and the height is 30cm. The inside surface was painted. What area was painted? (Take л= ²²/₇)
    1. 656.37cm²
    2. 1188.0cm²
    3. 1312.74cm²
    4. 1437.48cm²
18. Maanzo made a frame using wires in the form of a cuboid. The frame was 12cm long, 10cm wide and 8cm high. What was the total length of wire that he used?
    1. 60cm
    2. 120cm
    3. 180cm
    4. 240cm
19. The price of a bicycle was reduced by sh 6300. This represented a 30% discount. What was the price of the bicycle after the discount?
    1. Sh 4410
    2. Sh 14700
    3. Sh 21000
    4. Sh 27300
20. What is the next number in the pattern
    2, 6, 11, 17,......................?
    1. 28
    2. 24
    3. 23
    4. 21
21. What is the value of x in the equation
    3(2x-12)=10?
    1. 11
    2. 7²/₃
    3. 7
    4. 2²/₃
22. Thirty casual workers working at the same rate were hired to complete a construction in 20 days. How many days would 12 people take to complete the same construction? 
    1. 50
    2. 12
    3. 10
    4. 8
23. In the year 2021, a farmer harvested 2480 bags of wheat. This was 750 bags less than what the farmer harvested in the year 2022. How many bags of wheat did the farmer harvest in the two years?
    1. 5710
    2. 4210
    3. 3230
    4. 1730
24. In triangle PST drawn below, construct a circle that touches all the vertices.
    
    What is the diameter of the circle?
    1. 3.9cm
    2. 7.8cm
    3. 4.1cm
    4. 8.2cm.
25. Mukui bought the following items from the market
    1¹/₂kg of meat @sh 400
    3 packets of milk @sh 50
    2 kg of sugar @sh 125
    A packet of maize flour for sh 200
    How much did she pay for the items?
    1. Sh 1200
    2. Sh 1100
    3. Sh 875
    4. Sh 775
26. A trader imported 12.5 tonnes of sugar. The sugar was repacked into 50kg bags. How many bags were packed altogether?
    1. 25
    2. 250
    3. 25000
    4. 250000
27. Barack left Kericho at 10.00am for Nairobi a distance of 225km. He drove at a speed of 90km/h. At what time did he reach Nairobi?
    1. 12.30pm
    2. 10.50pm
    3. 2.30pm
    4. 12.30am
28. Salome spent of her profit to pay rent, of the remainder on salaries of her employees and saved the rest. If her total profit was sh 54000, how much money did she save?
    1. Sh 42000
    2. Sh 18000
    3. Sh 12000
    4. Sh 7500
29. In triangle KLM drawn below, line KL = 16cm and line LM=20cm.
    
    What is the length of line KM?
    1. 4cm
    2. 9cm
    3. 12cm
    4. 36cm
30. The marked price of a bed is sh 80000. The hire purchase price of the bed is 20% more than the marked price. Musau bought the bed on hire purchase. He paid a deposit and the balance in 8 equal monthly installments of sh 5000 each. How much deposit did he pay?
    1. Sh 96000
    2. Sh 85000
    3. Sh 56000
    4. Sh 40000
31. The semi-circle below represents a training field. Kirwa ran round it 4 times. O is the centre of the semi-circle.
    
    What is the distance that he covered?
    (Take pi = ²²/₇)
    1. 117m
    2. 234m
    3. 468m
    4. 936m
32. The pie chart below represents how a farmer used his 72 hectares piece of land.
    
    How many more hectares of land was used for growing maize than millet?
    1. 6
    2. 18
    3. 24
    4. 30
33. Chacha arranged wires to form squares as shown below.
    
    How many squares can be counted from the pattern formed?
    1. 14
    2. 13
    3. 10
    4. 9
34.  What is 25m/s expressed in km/h?
    1. 9km/h
    2. 90km/h
    3. 900km/h
    4. 9000km/h
35. The figure below is made up of an equilateral triangle and isosceles triangle.
    
    What is the size of angle FEH?
    1. 30°
    2. 60°
    3. 90°
    4. 120°
36. What is the value of 2s + r if q = 4 , r = 2q + 1 and s=q+7?
                                       q
    1. 5
    2. 6³/₄
    3. 7
    4. 7³/₄
37. Muteero sold an item for sh 1200 and made a loss of sh 400. What was the percentage loss?
    1. 25%
    2. 40%
    3. 50%
    4. 331%
38. A road of 18km is represented on a map by a length of 6cm. What is the scale of the map?
    1. 1:300
    2. 1:30000
    3. 1:300000
    4. 1:3000000
39. What is the mode of the following numbers
    18, 12, 11, 15, 12, 14, 10, 18, 12, 8?
    1. 130
    2. 18
    3. 12
    4. 11
40. What is the expression
    7(w+4v+2)+5(2w-v+3)?
    1. 17w+23v+29
    2. 3w+3v+29
    3. 17w+3v+5
    4. 9w +27v+17
41. Malewa deposited sh 280000 in a financial institution that paid a simple interest rate of 8% per annum. How much was in her account after 3 years?
    1. Sh 67200
    2. Sh 72200
    3. Sh 347200
    4. Sh 326592
42. A salesman earns a basic salary of sh 25000. He also gets a 5% commission on the value of goods sold above sh 50000. In one month he sold goods worth sh 250000. How much did he earn that month?
    1. Sh 10000
    2. Sh 60000
    3. Sh 12500
    4. Sh 35000
43. Musa has x cows, Awino has x+8 cows while Merab has twice the cows Awino has. Which one of the following expressions shows the total cows they all have?
    1. 4x + 24
    2. 2x+16
    3. 2x + 24
    4. 4x-24.
44. Maitha and Nkatho shared sh 18000 in the ratio 5:3. How much more money did Maitha get than Nkatho?
    1. Sh 4500
    2. Sh 11250
    3. Sh 6750
    4. Sh 8250
45. The figure below is made up of a rectangle and a semi-circle.
    
    What is its area? (Take л=²²/₇)
    1. 420cm²
    2. 497cm²
    3. 343cm²
    4. 263cm²
46. Which one of the following statements is true about both equilateral triangle and rectangle?
    1. All sides are equal
    2. All angles are equal
    3. All angles add upto 180°
    4. All angles add upto 360°
47. The table below shows the numbers of people who attended a football match and the gate charges. The number of children is not shown.
    

    Number of people	Gate charges
    Children -	sh 50
    Students - 600	sh 200
    Female adults - 440	sh 500
    Male adults - 500	sh 500

    If the total amount collected was sh 600000, how many people altogether attended the match?
    1. 200
    2. 1740
    3. 1250
    4. 10000
48. The figure below shows a net of a solid. Which one of the following can be formed from the net above?
    
    
    1. Square prism
    2. Triangular prism
    3. Square pyramid
    4. Triangular pyramid
49. The graph below shows a motorist's journey from town A to town B.
    
    What was the average speed for the whole journey?
    1. 120km/h
    2. 100km/h.
    3. 75km/h
    4. 50km/h
50. Construct triangle PQR in which QR-6cm, angle QRP-50° and RPQ-35°. What is the length of PR?
    1. 10.4cm
    2. 8.1cm
    3. 4.6cm
    4. 3.4cm

MARKING SCHEME

QUESTIONS

1. Which of the following numbers is eight million, two hundred and sixty thousand, four hundred and eight in symbols?
   1. 8260408
   2. 80260408
   3. 8206408
   4. 80260480
2. What is the place value of digit 8 when 38133 is divided by 19?
   1. Ones
   2. Hundreds
   3. Thousands
   4. Tens
3. What is 459.7864 rounded off to the nearest hundredths?
   1. 459.8
   2. 459.786
   3. 459.79
   4. 459.78
4. What is the square of 2?
   1. 5¹/₁₆
   2. 20¹/₄
   3. 1¹/₄
   4. ⁹/₄
5. In the figure below, find the size of the angle marked e
   
   
   1. 110°
   2. 70°
   3. 130°
   4. 120°
6. What is the difference of the L.C.M and the GCD of 24, 40 and 48?
   1. 248
   2. 8
   3. 240
   4. 232
7. The area of a square plot of land is 12 ¹/₄m².
   Find its length;
   1. 14m
   2. 1³/₄m
   3. 3¹/₂m
   4. 6¹/₂m
8. In a scale drawing on a map, 1 cm represents 50m. What is the real length of a road that measures 14cm on the map in kilometres;
   1. 70km
   2. 0.07km
   3. 7km
   4. 0.7km
9. Work out;-
   15+21-9+3x6=
   1. 21
   2. 18
   3. 16
   4. 32
10. Which of the following sets of measurement will form a right angled triangle?
    1. 6cm, 12cm, 13cm
    2. 8cm, 15cm, 17cm
    3. 5cm, 25cm, 26cm
    4. 6cm, 7cm, 8cm
11. Work out:-
    0.4 x 5.1 x 2.4
       0.17 x 0.08
    1. 0.36
    2. 3.6
    3. 360
    4. 36
12. Find the area of the figure below
    
    
    1. 6800cm³
    2. 150cm²
    3. 600cm³
    4. 6000cm³
13. Three bells were rung at intervals of 30 minutes, 45minutes and 1hr. If the bells rang together at 8.00am, when did they ring together again?
    1. 9.00am
    2. 8:03 am
    3. 11.00am
    4. 9:16 am
14. Work out:-
    √12¹/₄ + (¹/₄)¹
    1. 26
    2. ⁷/₃₂
    3. ¹/₃₄
    4. 28
15. What is 15% of 360?
    1. 270
    2. 90
    3. 414
    4. 54
16. What is the least number that can be subtracted from 21586 to make it divisible by 11?
    1. 5
    2. 4
    3. 7
    4. 3
17. What is the total value of digit 8 in 864321?
    1. 80000
    2. 8000000
    3. 800000
    4. 8000
18. What is the next number in the series?
    3, 4, 7, 11, 18,_______
    1. 28
    2. 27
    3. 30
    4. 29
19. A shopkeeper packed 20kgs of tea in kg packets. How many packets did he pack?
    1. 120
    2. 40
    3. 5
    4. 80
20. What is 1.7468 correct to three decimal places?
    1. 1.750
    2. 1.75
    3. 1.747
    4. 1.746
21. The figure below shows angled formed by a pair of parallel lines and a transversal;
    
    Which group below are cach of the angles equal to angle C?
    1. b,d.g
    2. e,g,b
    3. f,h,b
    4. e,g,a
22. What is the value of:-
    8(7²-4²)+48 ÷ 8=
    1. 270
    2. 54
    3. 12
    4. 39
23. Express ²/₂₅ as a decimal;
    1. 0.004
    2. 0.4
    3. 0.008
    4. 0.08
24. The price of a dress was reduced from sh. 500 to sh. 400. What was the percentage decrease?
    1. 80%
    2. 25%
    3. 20%
    4. 125%
25. What is the area of the rectangle below?
    
    
    1. 42cm²
    2. 36cm²
    3. 40cm²
    4. 48cm²
26. What is the value of:-
    2.04 x 69.77
    1. 132.188
    2. 141.188
    3. 142.178
    4. 142.188
27. Which of the following numbers is divisible by 8?
    1. 12038
    2. 32256
    3. 27934
    4. 34498
28. Beba went to a shop and bought the following items;
    -2/kg of sugar @sh. 120
    -1/kg of meat@sh. 400
    -Two-two kg packets of wheat flour @sh. 90
    How much did he get as balance from sh. 1000?
    1. Sh. 880
    2. Sh. 120
    3. Sh. 980
    4. Sh. 20
29. What is the value of:-
    24 + 8 x 4 - 36 ÷ 4 ?
    1. 5
    2. 23
    3. 47
    4. 17
30. What is the value of:-
    ³_/4(¹/₂ + ²/₅) ÷ ¹/₃ - ^1/₅ x ³/₈?
    1. 1¹/₅
    2. 3⁷/₄₀
    3. ³/₂₀
    4. 1¹⁹/₂₀
31. What is the value of:-
    6.2 x 5.8
         0.5
    1. 71.90
    2. 70.92
    3. 719.2
    4. 71.92
32. Work out:-
    0.0968 x 0.088
    0.242 x 0.0016
    1. 22
    2. 0.22
    3. 2.2
    4. 220
33. What is the value of:-
    5a+2b-c
        a+b
    If a=3, b=2 and c=4
    1. 6
    2. 15
    3. 3
    4. 5
34. Find the square root of :-
    √256
    1. 4
    2. 8 twice
    3. 36
    4. 16
35. A farmer harvested 200bags of wheat in 2019. In 2020 the number of bags increased by 40%. How many more bags were harvested in 2020?
    1. 80
    2. 280
    3. 40
    4. 120
36. Tom had money in notes as follows;
    -2-1000 shillings notes
    -3-500 shillings notes
    -12-200 shillings notes
    -16-100 shilling notes
    -24-50 shilling notes
    She exchanged ¹/₂ of the money into fifty shillings notes. How many notes did she get altogether?
    1. 145
    2. 95
    3. 16
    4. 87
37. The ratio of boys to girls in Tetu school is 4:7. If there are 120 more girls than boys, how many pupils are in the school?
    1. 440
    2. 560
    3. 210
    4. 660
38. Tim slept at 8.45pm and woke up at 7.35am. How long did he sleep?
    1. 9hrs 45min
    2. 11hrs 50min
    3. 10hrs 50min
    4. 11hrs 45min
39. A pick up weighs 1.5toanes when empty and 2300kg when carrying 20bags of beans. What is the average weight of each in kilograms?
    1. 100kg
    2. 40kg
    3. 45kg
    4. 75kg
40. Moses packed 36litres of milk into 250millilitres packets. How many packets did he get?
    1. 144
    2. 69
    3. 140
    4. 180
41. Which one of the following statements is correct?
    1. 0.83 is greater than ⁵/₆
    2. ⁵/₆ is less than 0.83
    3. ⁵/₆ is greater than 0.83
    4. ⁵/₆ is equal to 0.83
42. What is the value of:-
    2a+3c+3(4a-2b)=
    When c=2, b=c+1 and a=b+c
    1. 81
    2. 96
    3. 58
    4. 42
43. A dress requires 3.75metres of material. How many metres of material are required to make 12 such dresses?
    1. 54m
    2. 63m
    3. 36m
    4. 45m
44. The hire purchase price of a gas cooker is sh. 18500. Amani paid a deposit sh. 12500 and the rest in five equal monthly installments. How much was each installment?
    1. Sh. 6000
    2. Sh. 2400
    3. Sh. 1800
    4. Sh. 1200
45. What is the area of the shaded region in the figure?
    
    
    1. 243cm²
    2. 117.75cm²
    3. 1107cm²
    4. 864cm³
46. The circle graph below shows how Ntete spends his monthly salary of sh. 48000.
    
    How much more does he spend on loan repayment than clothes?
    1. Sh. 16000
    2. Sh. 12000
    3. Sh. 6000
    4. Sh. 8000
47. A bus left Mombasa for Kisii at 1830hrs. The journey took 12hours 45minutes. At what time did it arrive at Kisii in 12hour clock system?
    1. 6.15am
    2. .6.15pm
    3. 7.15pm
    4. 7.15am
48. A cooking fat tin measures 7cm in radius and 12cm in height. The curved surface of the tin has a paper cover all the way round. What is the area of paper cover? (Take pi = ²²/₇)
    1. 682cm²
    2. 528cm²
    3. 264cm²
    4. 836cm²
49. The marked price of a glass table was sh. 4500. Kiprono bought the table after being allowed a discount of 15%. How much did he pay for the table?
    1. Sh. 4050
    2. Sh. 450
    3. Sh. 3825
    4. Sh. 675
50. The diagram below is an incomplete stack of cubes;
    
    How many cubes are they?
    1. 72
    2. 64
    3. 54
    4. 48

Marking Scheme

QUESTIONS  

1. In a certain game park, there were 2678340 wild animals. Identify the place value of digit 6 in the game park's population.
   1. Tens of thousands
   2. Million
   3. Thousands
   4. Hundreds of thousands.
2. James bought thirty thousand, seven hundred and ninety two milk packets. Write the number of milk packets he bought in symbols
   1. 30792
   2. 3792
   3. 37902
   4. 37092
3. Rashid sold 3kg 250g of rice on Monday and 12kg 75g of rice on Tuesday. How much rice did he sell in the two days?
   1. 25kg  325g
   2. 15kg  325g
   3. 15kg  225g
   4. 15kg  255g
4. During a Mathematics group discussion, Patel wrote the following sum for the group members. Workout the sum of
   2 + ⁴/₃ + 1
   1. 3⁴/₃ 
   2. 4¹/₃
   3. ⁶/₄ 
   4. 1²/₃  
5. A sugar company produced 2305 bags of sugar on Thursday and 4500 bags of sugar on Friday. Work out the difference between the bags produced in the two days.
   
   1. 2305
   2. 4500
   3. 2195
   4. 6805
6. In Kilele academy, there are 200 boys. There are 50 more girls than boys. Work out the total population of the pupils in Kilele academy.
   
   1. 400
   2. 450
   3. 250
   4. 300
7. Sarah bought 23 packets of beads for her business. If each packet had 12 beads, how many beads did she buy altogether?
   
   1. 276
   2. 35
   3. 246
   4. 264
8. Kamau ran round the field below twice. What distance did he cover in metres?
   
   1. 38m
   2. 142m
   3. 76m
   4. 152m
9. Mutiso had 25 mangoes, he gave 10 to his classmates and ate 2 of the mangoes. How many mangoes was he left with?
   
   1. 37
   2. 13
   3. 15
   4. 35
10. Mrs. Ann shared 300 sweets among her pupils in grade 4. If each pupil got 15 sweets how many pupils are in grade 4?
    
    1. 20
    2. 10
    3. 15
    4. 30
11. During an Art and Craft practical lesson, Joey equally shared two dozen packets of pencils to his six group members. How many pencils did each pupil get?
    1. 30
    2. 4
    3. 6
    4. 18
12. A staff meeting started at 8:45 Am. If the staff meeting took 2 hours and 42 minutes. At what time was the meeting concluded?
    1. 10:67am
    2. 11:67am
    3. 11:27am
    4. 10:27am
13. Joseph was to find out the next two missing numbers in the patterns below. Which of the following pairs of numbers is correct?
    27, 45, 63, ____, ____
    
    1. 71 and 81
    2. 81 and 99
    3. 70 and 99
    4. 71 and 99
14. Grade 6 learners were provided with the following number flash cards to arrange in an ascending order. Which of the following
    arrangements is correct?
    3784, 3847, 3748, 3874
    
    1. 3874, 3784, 3847, 3847
    2. 3784, 3748, 3847, 3874 
    3. 3748, 3784, 3847, 3874
    4. 3847, 3874, 3784, 3748
15. The number of people who received Covid 19 vaccination in a certain county was 1536921. What is the total value of digit 3 in the number?
    
    1. 30000
    2. 3000
    3. 30
    4. 300000

Use the information to answer questions 16 and 17.   

Grade 4 pupils collected data on the colour of vehicles along a super highway as shown below.

16. Work out the difference between the red and white vehicles counted on that day.
    1. 260
    2. 112
    3. 105
    4. 20
17. What was the total number of vehicles counted by the pupils?
    1. 208
    2. 240
    3. 395
    4. 405
18. In a printing company there are twelve printers. If each printer prints twenty five newspapers in one hour. How many newspapers does the company print in an hour?
    1. 300
    2. 264
    3. 286
    4. 298
19. Grace drew the figure below. Work out its perimeter?
    
    
    1. 51m²
    2. 70m² 
    3. 51m
    4. 44m
20. After measuring the length of the classroom Kasyoka recorded the measurement as 625cm. Round off the measurement to the nearest 10
    1. 620cm
    2. 600cm
    3. 625cm
    4. 630cm
21. Mr. Gibson drew the following angles on the chalkboard. Which of the angles is more than 90° but less than 180°?
    
    
    1. C
    2. A
    3. D
    4. B
22. Murithi had four oranges, he divided each orange into four equal portions. How many pieces did he have altogether?
    1. 16
    2. 8
    3. 20
    4. 9
23. Grade 5 pupils drew the clock faces below. Which of the clock faces shows twenty minutes past 3 o'clock?
    
24. Kamwana wrote the pattern below on a chart and displayed it in class. What are the next two fractions respectively?
    ¹/₂, ¹/_3, ¹/₄, ¹/₅ 
    
    1. ¹/_8,¹/₈ 
    2. ¹/₆, ¹/₇
    3. ¹/_6, ¹/₈ 
    4. ¹/_8, ¹/₉ 
25. During a school presidential election 170 pupils voted for Williamson, 120 pupils votes for Victoria and 79 pupils voted for Nelson. If 10 votes were spoilt how many pupils participated in the presidential elections?
    1. 379
    2. 290
    3. 249
    4. 369