Displaying items by tag: mathematics

QUESTIONS

  1. What is the sum off 97036 and 523850 written in words?
    1. Six hundred and ten thousand eight hundred and eighty six
    2. Five hundred and thirty thousand eight hundred and eighty six
    3. Six hundred and twenty thousand eight hundred and eighty six
    4. Six hundred and thirty thousand eighty hundred and eighty six
  2. Round off 287985 to the nearest hundred thousands
    1. 200000
    2. 300 000
    3. 280 000
    4. 290 000
  3. Which one of the following numbers is divisible by 11
    1. 26931
    2. 37245
    3. 549264
    4. 983455
  4. The area of a square is 676cm2. What is the distance round it twice?
    1. 104cm
    2. 208cm
    3. 52cm
    4. 204crn
  5. What is the difference between the total value of digit '5 and the total value of digit 6 in the number 756390?
    1. 44 000
    2. 440
    3. 4400
    4. 44
  6. Calculate the area of the shaded parts in the figure below?
    mathsT1O2023C8Q6
    1. 25cm2
    2. 50cm2
    3. 62cm2
    4. 56cm2
  7. A man withdrew half a million shillings from hirs bank account. He spent half of it to build a house and 2/5 of the remainder to pay school fees for his children. How much money was he left with?
    1. sh. 100000
    2. sh. 200000
    3. sh. 150000
    4. sh. 50000
  8. Work out:
    84 +12 − 108 ÷ 9 + 7 x 6
    1. 37
    2. 42
    3. 47
    4. 32
  9. Work out (5 ÷ 3¾) x 11/8
    1. 2/3
    2. 3
    3. 11/3
  10. The diameter of a circular wheel is 0.7m. How many revolutions will I have to make to cover 44km?
    1. 200000
    2. 20000
    3. 2000
    4. 200
  11. What is the next fraction in the sequence?
    1, 1¾, 2½, 3¼, _____
    1. 4
  12. If p= 5, t = 4 and r = 2. What is half the value of t(p − r) + 2(3t + p)
    1. 46
    2. 28
    3. 14
    4. 23
  13. The scale of a map reads 1: 10000. What is the drawing length of a section of road which is 12km long?
    1. 1.2cm
    2. 0.12cm
    3. 12cm
    4. 120cm
  14. What is the distance round the figure drawn below?
    mathsT1O2023C8Q14
    1. 44m
    2. 77m
    3. 33m
    4. 84m
  15. The length of a rectangle is 72cm. It is three times longer than the width. Calculate the perimeter of the rectangle.
    1. 96cm
    2. 192cm
    3. 216cm
    4. 596cm
  16. The longest side of a right angled triangle is 13cm. One of the shorter sides measures 5cm. What is its area?
    1. 30cm2
    2. 65cm2
    3. 60cm2
    4. 32.5cm2
  17. What is the total value of 5 after working out 7 ÷ 8
    1. Thousandths
    2. Ones
    3. 0.005
    4. 0.05
  18. The figure below represents Mr. Oluoch's piece of land.
    mathsT1O2023C8Q18
    What is the area of the plot in hectares?
    1. 0.63ha
    2. 0.84ha
    3. 63ha
    4. 84ha
  19. A man is three times older than his son. The sum of their ages is 48 years How old is the son?
    1. 16 years
    2. 12 years
    3. 24 years
    4. 8 years
  20. Construct triangle MNP such that line MN= NP = 6.5cm. Angle MNP 70°. Drav a circle touching the vertices of the triangle. What is the diameter of the circle
    1. 7.0cm
    2. 4.0cm
    3. 3.5cm
    4. 8.0cm
  21. A text book was sold for sh. 675. The trader made a profit of 25%. At what price had he bought it?
    1. Sh. 168.75
    2. Sh. 506.25
    3. Sh. 540
    4. Sh. 510.00
  22. Two brothers shared 40 hectares piece of land in the ratio 3:5. The elder brother got the bigger share. How many hectares of land did the younger brother get?
    1. 32ha
    2. 15ha
    3. 18ha
    4. 25ha
  23. A businessman bought three - 50kg bags of rice. She packed it into 750g packets. How many packets did she obtain?
    1. 200
    2. 5
    3. 2000
    4. 50
  24. A cylindrical tank has a diameter of 10m. Its height is 7m. How many litres of water can it hold when half full?
    1. 275L
    2. 275 000L
    3. 550L
    4. 550 000L
  25. A closed cuboid has a square base whose length is 10cm. Its height is 15cm. Calculate its surface area.
    1. 500cm2
    2. 150cm2
    3. 800cm2
    4. 1500cm2
  26. A woman bought ½kg of onions at sh. 90 per kg. A-2kg packet of wheat flour at sh. 140 per packet. Three - 2kg packets of maize flour at sh. 90 per packet and ¾kg of tomatoes @sh. 100. She paid for the items using Two-sh.500 notes. How much balance did she receive?
    1. Sh. 555.00
    2. Sh. 450.00
    3. Sh. 445.00
    4. Sh. 400.00
  27. Abdalla left Ukasi at 10.25a.m. After travelling for 3 hours, he stopped at Mwingi where he rested for 45 mins. It took him 21/3 hrs to travel from Mwingi to Nairobi. At what time in 24hrs clock system did he arrive at Nairobi?
    1. 430hrs
    2. 1545hrs
    3. 0430hrs
    4. 1630hrs
  28. A woman spent a quarter of her salary to buy household goods and a sixth to pay her rent the rest was used to pay rent. The rest was used to pay school fees for her children. What fraction of her her salary did he spend on school fees?
    1. 5/7
    2. 7/12
    3. 5/12
    4. 7/24
  29. A carpenter cut the piece of wood drawn below from a cylindrical log.
    mathsT1O2023C8Q29
    What is its volume in cubic centimetres?
    1. 330cm3
    2. 693cm3
    3. 6930cm3
    4. 660cm3
  30. A square plot whose area is 12¼m2 was fenced round using 4 strands of barbed wire. What was the length of wire used?
    1. 3.5m
    2. 14.0m
    3. 56.0m
    4. 21.0m
  31. In the year 2019, Jimmy's crop yield increased in the ratio 8:5. His yield in the year 2018 was 400 bags. How many bags of the crop did he harvest in the year 2019?
    1. 640
    2. 600
    3. 250
    4. 560
  32. To travel a distance of 72km, a lorry took 2 hours. What was its average speed in m/s?
    1. 20m/s
    2. 30m/s
    3. 36m/s
    4. 10m/s
  33. The table below shows charges for interstate money orders.
    value of order in (sh)    Commissions charge in (sh) 
     301 - 500
     501 - 700
     701 - 1000
     1001 - 2000
     2001 - 3000
     3001 - 5000
     5001 - 7000
     7001 - 10,000
     10,001 - 15,000
     15,001 - 20,000
     20,001 - 30,000
      80.00
     120.00
     170.00
     200.00
     250.00
     320.00
     390.00
     480.00
     580.00
     600.00
     850.00
    Nandwa bought two money orders, one worth sh. 7500 and the other worth sh. 17000. How much money did she pay altogether?
    1. Sh. 24,500
    2. Sh. 1080
    3. sh. 25350
    4. Sh. 25580
  34. 3 taps running at the same rate can fill a tank in 15 hours. How long will 5 taps take to fill the same tank?
    1. 25 hrs
    2. 9 hrs
    3. 10 hrs
    4. 6 hrs
  35. In the figure below line AB is parallel to line EC. Angle ABC = 73° and angle CED=62°.
    mathsT1O2023C8Q35
    What is the size of angle BAD
    1. 45°
    2. 73°
    3. 1080
    4. 62°
  36. Simplify 2(x+3) + ½(6x+2)
    1. 5x + 5
    2. x + 7
    3. 5x + 7
    4. 5x − 7
  37. Akinyi bought 50kg of tomatoes for sh. 1600. 10kg got spoilt on her way to the market. She sold the remaining tomatoes at sh. 50 per kg. What was her percentage profit?
    1. 25%
    2. 10%
    3. 20%
    4. 15%
  38. What is the place value of digit 3 after working out 78.3721 − 4.2370
    1. Tenths
    2. Hundredths
    3. Thousandths
    4. Ones
  39. Cherono paid sh. 4200 for a suit after getting a discount of 30%. What was its marked price?
    1. sh. 7000
    2. sh. 1260
    3. sh. 6000
    4. sh. 5460
  40. Solve the value of y in the equation 1/3(6y−18) + 2(y+5) = 28
    1. 8
    2. 6
    3. 3
    4. 11
  41. The pie-chart below shows the number of learners who chose class representative. There were 4 pupils who had volunteered to be a class representative.
    mathsT1O2023C8Q41
    If there were 60 learners in the class. How many pupils chose Samson as their class representative?
    1. 25
    2. 10
    3. 5
    4. 15
  42. Micky received sh. 12500 as commission. This represented 5% of the value of goods sold. Calculate the value of goods sold?
    1. Sh. 25000
    2. Sh. 10000
    3. Sh. 100000
    4. Sh. 250000
  43. The mass of bag of maize decreased by 10% each week. At the beginning of the first week the mass of a bag of maize was 100kg. What was its mass by the end of the of the second week?
    1. 80kg
    2. 90kg
    3. 81kg
    4. 79kg
  44. A man is 2x years old. His son is 24 years younger. While his wife is 3y years old. Write an expression to show the sum of their ages
    1. 2x − 24 + 3y
    2. 4x − 24+ 3y
    3. 4x + 24+ 3y
    4. 4x + 3y
  45. The average mass of 6 boys is 42kg. Four of them weighs 34kg, 41kg, 47kg and 40kg. What is the average mass of the remaining two boys?
    1. 90kg
    2. 55kg
    3. 44kg
    4. 45kg
  46. The cash price of a DVD player is sh. 7200. Jamia bought it on hire purchase terms by paying a deposit of sh. 4500. He then paid monthly instalment of sh. 1200 for 4 months. By how much was the hire purchase price more than the cash price?
    1. Sh. 11000
    2. Sh. 2100
    3. Sh. 12000
    4. Sh. 2200
  47. Class 8 pupils at Investors Primary School made a cuboid using sticks as shown below.
    mathsT1O2023C8Q47
    What was the total length of the sticks used?
    1. 39cm
    2. 78cm
    3. 156cm
    4. 1944cm
  48. Twelve families shared 480L of cooking oil among themselves. How many decilitres did each family receive?
    1. 4
    2. 4000
    3. 40
    4. 400
  49. Three buses, four nissan matatus and twelve personal cars were used to transport people to wedding ceremony. The cars accommodated 4 passengers, The Nissan matatu could carry 14 passengers while the buses were 52 seaters each. If all the vehicles were filled to capacity, how many passengers did the vehicles carry altogether?
    1. 216
    2. 260
    3. 78
    4. 261
  50. The travel graph below shows a journey followed by a bus travelling from Peto to Ijal
    mathsT1O2023C8Q50
    What was the average speed for the whole journey?
    1. 64km/h
    2. 60km/h
    3. 531/3km/h
    4. 532/3km/h

MARKING SCHEME

  1. C
  2. B
  3. D
  4. B
  5. A
  6. B
  7. C
  8. A
  9. V
  10. B
  11. B
  12. D
  13. D
  14. D
  15. B
  16. A
  17. C
  18. A
  19. B
  20. D
  21. C
  22. B
  23. A
  24. B
  25. C
  26. C
  27. D
  28. B
  29. C
  30. C
  31. A
  32. D
  33. D
  34. B
  35. D
  36. C
  37. A
  38. B
  39. C
  40. B
  41. A
  42. D
  43. C
  44. B
  45. D
  46. B
  47. C
  48. D
  49. B
  50. A
Friday, 02 December 2022 07:54

Mathematics Questions - KPSEA 2022 Exams

November 2022 - 1 hour 20 minutes

QUESTIONS

  1. The number of people in a certain county is five hundred and sixty five thousand and fifty two.
    What is the number in symbols?
    1. 506552
    2. 565502
    3. 565052
    4. 560052
  2. The number of loaves of bread produced by a factory in a certain year was 3624817.
    What is the place value of digit 6 in the number?
    1. Millions
    2. Hundreds of thousands
    3. Thousands
    4. Tens of thousands
  3. A bookshop received 648205 exercise books from a supplier. A school bought 76102 of the exercise books.
    How many books remained in the bookshop?
    1. 724307
    2. 672103
    3. 532103
    4. 572103
  4. At the beginning of the year, there were 1204 girls and 816 boys in a school. During the year, 88 more girls joined the school and 12 boys left the school.
    What was the total number of learners in the school at the end of the year?
    1. 2096
    2. 2108
    3. 2120
    4. 2220
  5. A lorry carried 1452 cartons of textbooks. Each carton had 24 textbooks.
    How many textbooks did the lorry carry altogether?
    1. 1476
    2. 8812
    3. 34848
    4. 52448
  6. A carpenter made a drawing. The drawing consists of a rectangle and a triangle as shown.
    6 auygda
    What is the area of the drawing?
    1. 160m2
    2. 36m2
    3. 20m2
    4. 6m2
  7. A teacher wrote on the blackboard the following pattern.
    30,32,36,44,60.............................
    What is the next number in the pattern?
    1. 32
    2. 72
    3. 92
    4. 104
  8. 4K club had 2156 chicks. The chicks were distributed equally among 15 members.
    How many more chicks will the 4K club add for all the members to get an equal share?
    1. 4
    2. 11
    3. 143
    4. 144
  9. Musa drew a rectangle and a square. The rectangle had a length of 24 cm and width of 6 cm. The rectangle had the same area as the square.
    What was the perimeter of the square?
    1. 12
    2. 48
    3. 60
    4. 144
  10. Mugambi and Kioko contributed some money to buy a piece of land. Mugambi contributed of the total cost of the land. Kioko contributed of the total cost.
    What fraction of the cost of land was not contributed?
    1. 9/40
    2. 31/40
    3. 3/20
    4. 17/20
  11. A farmer divided his shamba into four portions. He planted cabbages on 0.25 of the shamba, tomatoes on 0.125 and onions on 0.45. He planted maize on the remaining portion.
    What percentage of the shamba was used for planting maize?
    1. 82.5
    2. 70.0
    3. 37.5
    4. 17.5
  12. Ann bought 84.20 kg of kales from a grocer. She also bought 45.48 kg of kales from another grocer. She later used 15.93 kg of kales to prepare lunch. What mass, in kilograms, of kales did she remain with?
    1. 145.61
    2. 129.68
    3. 113.75
    4. 22.79
  13. A learner drew the following line. Measure the length AB in cm using a ruler.
    13 auygdad
    What is the length of the line in millimetres?
    1. 790
    2. 79
    3. 7.9
    4. 0.79
  14. Linda had 15 cartons. She packed 30 bottles of fruit juice in each carton. Each bottle contained 300 ml of juice.

    What was the total amount, in litres, of the juice packed?
    1. 135
    2. 1350
    3. 13500
    4. 135000
  15. A butcher had 1.4 tonnes of meat in a butchery. He cut the meat into pieces of 500 g each. He sold each piece for sh 110. How much money did he get from the sale of all the meat?
    1. sh3 080 000
    2. sh 308 000
    3. sh30 800
    4. sh3 080
  16. Two farmers delivered wheat to a factory. One farmer delivered 40 tonnes 800 kilograms of wheat and the other farmer delivered 15 tonnes 520 kilograms of wheat.
    How many tonnes and kilograms of wheat was delivered altogether?
    1. 25 tonnes 280 kilograms
    2. 55 tonnes 320 kilograms 
    3. 56 tonnes 120 kilograms
    4. 56 tonnes 320 kilograms
  17. An empty truck has a mass of 12 tonnes. The truck carried 500 bags of maize. Each bag of maize had a mass of 90kg.
    What was the total mass, in tonnes, of the loaded truck?
    1. 33
    2. 45
    3. 57
    4. 602
  18. A farmer bought a cow for sh 35 000. He spent sh 10 500 in taking care of it. He later sold the cow for sh 65 000.
    How much profit did he make?
    1. sh 19 500
    2. sh30000
    3. sh 54 500
    4. sh 110500
  19. The table below shows the travel timetable for a bus company from town P to R.
    Town  Arrival time  Departure time 
     P    9.00 a.m
     Q  11.30 a.m  12 noon
     R  3.30 p.m  
    Halima travelled from town P to R using the bus.
    How long did the journey take?
    1. 3 hours
    2. 41/2 hours
    3. 61/2 hours
    4. 51/2 hours
  20. Ali closes his shop daily at thirty five minutes past six in the evening.
    What time in a 24 hour clock system, does he close the shop?
    1. 1835 h
    2. 1235 h
    3. 0635 h
    4. 0035h
  21. A given number of lorries collected 28 tonnes 685 kilograms of garbage from the market. The garbage was loaded equally onto 5 similar lorries.
    How many kilograms of garbage did each lorry carry?
    1. 193
    2. 697
    3. 6970
    4. 5737
  22. The price list for a shop is shown below.
    Item   Cost
     1 kg sugar  sh 110
     1 litre cooking oil   sh 360
     2 kg packet maize flour sh 105
    Nyaboke bought 3 kg of sugar, 1 litre of cooking oil and 4 packets of maize flour from the shop. She gave the shopkeeper 3 five hundred shilling notes.
    What was the balance?
    1. sh 390
    2. sh945
    3. sh1 110
    4. sh2 610
  23. Sandra requires 40 m 20 cm of barbed wire to fence her garden. She had two pieces of barbed wire measuring 11 m 85 cm and 8 m 90 cm.
    How much more length of barbed wire does Sandra require?
    1. 60m 95 cm
    2. 27m 75 cm
    3. 19m 55 cm
    4. 19m 45 cm
  24. A salesperson had 24 litres of milk. She packed the milk in 500 ml and 250 ml bottles. She packed three quarters of the milk in 500 ml bottles and the rest in 250 ml bottles.
    What was the total number of bottles she used?
    1. 60
    2. 36
    3. 32
    4. 24
  25. The figure below shows two triangles drawn accurately. Measure the angle SQR using a protractor.
    What is the size of angle SQR?
    25 auygda
    1. 35°
    2. 50°
    3. 70°
    4. 95°
  26. Kigen bought goods worth sh400. He gave the shopkeeper a sh 1 000 note. He received the balance in equal number of sh 200 and sh 100 notes.
    What was the total number of notes that he received?
    1. 3
    2. 4
    3. 5
    4. 6
  27. A bus and a matatu were to transport 128 guests to a wedding ceremony. The bus can carry 24 guests and the matatu 8 guests. Both vehicles made the same number of trips.
    How many trips did the matatu make?
    1. 2
    2. 4
    3. 8
    4. 16
  28. The bar graph below represents the number of trees planted by learners of a school in four years.
    28 auygda
    What is the difference between the highest and lowest number of trees that were planted in the four years?
    1. 800
    2. 700
    3. 600
    4. 200
  29. Charo and Akinyi have some bananas. Charo has three times as many bananas as Akinyi. They have 36 bananas altogether. Let the number of bananas that Akinyi has be represented by y.
    Which of the following equations correctly represents the information given?
    1. 3y+y=36
    2. y+y+y=36
    3. y+y+3=36
    4. y/3 + 3=36
  30. Mwakio had 18 cubes with the same shape and size. He made a stack using all the cubes.
    Which of the following represents the correct stack that he made?
    30 aiygdada

 

Tagged under

QUESTIONS

  1. 964 vehicles were recorded at Makutano junction. What is this number in words?
    1. Nine hundred and forty six. 
    2. Nine hundred and sixty four. 
    3. Six hundred and ninety four.
    4. Six hundred and forty nine.
  2. What is the total value of the underlined digit in the number 24 936? 
    1. Thousands. 
    2. 400. 
    3. 4000. 
    4. 40 000.
  3. A lorry carried eight hundred and ninety seven iron sheets. How many iron sheets were these in symbols? 
    1. 978 
    2. 879 
    3. 987 
    4. 897
  4. Round off 857 to the nearest ten
    1. 800
    2. 860 
    3. 850 
    4. 900
  5. The number of male voters was 5 565 while that of female voters was 3 479. What was the total number of voters?
    1. 9044 
    2. 9 054 
    3. 9 144 
    4. 9 154
  6. Out of 2 642 sacks of maize harvested, 1 349 were sold and the rest kept in the store. How many sacks were kept in the store? 
    1. 3 991
    2. 3 981 
    3. 1 293
    4. 1 283
  7. Musa had 7 balloons to decorate a tent during a wedding ceremony. 3 of the balloons were pink and the rest were blue. What part of the balloons were blue?
    1. 3/7
    2. 4/7
    3. 7/10
    4. 3/10
  8. Work out:
    9√81
    1. 90
    2. 72 
    3. 9
  9. A class of 35 learners was told to bring 11 beads each. How many beads were brought altogether? 
    1. 385 
    2. 46 
    3. 375 
    4. 305
  10. In the number 3.486, which digit is in the hundredths place value? 
    1. 8
    2. 4

Use the map below to answer the following questions
11 12 ada

  1. Kingi walked from the classroom to the staffroom through the flagpost. What distance did he cover?
    1. 20m 
    2. 50m
    3. 70m
    4. 120m
  2. How far is it from the flagpost to the staffroom than from the classroom to the staffroom in centimetres?
    1. 500cm
    2. 50cm
    3. 5cm
    4. 95cm

Study the figure below and use it to answer the following questions.
13 adadad

  1. How many rows are there in the figure above?
    1. 5
    2. 10
    3. 15
    4. 50
  2. How many columns can you count?
    1. 15
    2. 50
    3. 10
    4. 5
  3. Amunga is 29kg and his younger sister is 18kg. What is their total mass?
    1. 11kg
    2. 57kg
    3. 48kg
    4. 47kg
  4. How many half kilograms are there in 20kg?
    1. 40
    2. 10 
    3. 80
  5. Work out:
    68kg - 39kg = ................
    1. 28kg
    2. 38kg
    3. 29kg 
    4. 39kg
  6. Which one of the following shows an example of a want?
    18 adada
  7. A lesson started at the time shown on the clockface below.
    19 dadad
    If the lesson lasted for 35 minutes, at what time did it end? 
    1. 8.15
    2. 8.05
    3. 8.40
    4. 8.40
  8. How many minutes are there in 3 hours? 
    1. 60
    2. 20 
    3. 120
    4. 180
  9. Which one of the following is not a property of a rectangle? 
    1. It is a three sided figure.
    2. Opposite sides are parallel.
    3. It has four angles.
    4. Each angle is a right angle.
  10. Four girls shared z oranges. Which of the following expressions shows the number of oranges cach girl got? 
    1. 4z
    2. 4÷z . 
    3. 4+z
    4. 4-z
  11. Mwamburi was given 15 balloons to share with his friends. p of them were white and 4 of them were blue. How many balloons were white? 
    1. 19
    2. 11
    3. 8
    4. 5
  12. What is the name of the type of line used to draw an oval? 
    1. Curved. 
    2. Zigzag. 
    3. Wavy. 
    4. Straight
  13. What is the next shape in the pattern below?
    25 adadad
    25 2 adadad

The table below shows types and the number of fruits e mother brought home in five days

fruits   number
bananas 15 
apples 13
oranges 10
pinapples 11
mangoes 12
  1. Which two types of fruits added up to a total 252 
    1. Mangoes and apples. 
    2. Oranges and pineapples. 
    3. Bananas and apples. 
    4. Pineapples and apples.
  2.  How many more bananas were brought than oranges?
    1. 15
    2. 10
    3. 5
    4. 25
  3. What was the lowest number of fruits brought that week?
    1. 15
    2. 10
    3. 12
    4. 11
  4. Which type of fruits was the most?
    1. Oranges.
    2. Pineapples.
    3. Apples
    4. Bananas
  5. What was the total number of fruits brought that week? 
    1. 51
    2. 61
    3. 59
    4. 69

MARKING SCHEME

maths ms timer

QUESTIONS

  1. Read and write the following number in words;
    4 tens 0 thousands 8 hundreds 0 tens 8 ones
    1. Four thousand eight hundred and eight 
    2. Forty thousand eight hundred and eighty 
    3. Forty thousand eight hundred and eight 
    4. Forty ten thousands eight hundred and eight
  2. Which of the following numbers decreases by 100? 
    1. 4325, 4225, 4125, 4100 
    2. 3379, 3279, 3109, 3009 
    3. 5555, 5455, 5355, 5205 
    4. 7315, 7215, 7115, 7015
  3. During a test five learners scored marks as follows:
    Allan - 385
    Mercy - 407
    Tony - 390
    Patrick - 431
    Stella - 415
    What was the difference between the first and the last pupil?
    1. 30
    2. 23
    3. 46
    4. 24
  4. Griffin bought a bag for sh 799. What was the price of the bag rounded off to the nearest ten. 
    1. 790
    2. 800
    3. 810
    4. 700
  5. A shopkeeper sells plates in groups of six. Which of the following number of spoons can be arranged in groups of 6?
    1. 63
    2. 72
    3. 56
    4. 76
  6. Write the next number in the pattern;
    47, 44, 39, 32,.......
    1. 23
    2. 30
    3. 27
    4. 29
  7. A trader bought two trays of eggs each containing 30 eggs. He sold 13 eggs. How many eggs remained?
    1. 37
    2. 17
    3. 47
    4. 57
  8. A factory processes 10000 packets of milk daily. A trader bought 7345 packets. How many packets remained?
    1. 3345.
    2. 2655
    3. 3655
    4. 2654
  9. The triangular shape below was made using pieces of metal bars.
    9 adada
    What was the total length of the metal bars in metres and centimeres?
    1. 2 m 2 cm
    2. 20 m 20 cm
    3. 2 m
    4. 2m 20 cm
  10. Kerubo bought twelve quarter kg of beans. How many kg of beans did she buy?
    1. 31
    2. 48
    3. 6
    4. 24
  11. Calculate the volume of the given cubes.
    1. 120
    2. 180
    3. 150
    4. 100
  12. Write the place value of digit 8 in the number 53.08. 
    1. Hundredths 
    2. Oneth 
    3. Tenths
    4. Hundreds
  13. Arrange the decimal numbers from the largest to the smallest.
    2.02, 2.20, 2.0, 0.22 
    1. 0.22, 2.0, 2.02, 2.20
    2. 2.20, 2.0, 0.22, 0.22 
    3. 0.22, 2.02, 2.0, 2.20 
    4. 2.20, 2.02, 2.0, 0.22
  14. Calculate the distance round the figure.
    14 adadada
    1. 60 cm 
    2. 95 cm
    3. 120 cm
    4. 240 cm
  15. Work out;
    15 asadada
    1. 1m 74 cm 
    2. 10 m 74 cm
    3. 10 m 14 cm
    4. 13 m 14 cm
  16. Grade Four pupils at Utugi Primary school used a manilla paper to make a model of a shape which would form a box. They made a box which had six equal square faces. The learners made a model of a 
    1. cuboid 
    2. square 
    3. cylinder 
    4. cube
  17. A family uses two half litre packets of milk daily. How many litres of milk will the family use in 10 days? 
    1. 5
    2. 20 
    3. 10
    4. 12
  18. A school PTA meeting took 220 minutes. How many hours and minutes did it take? 
    1. 2 h 20 min 
    2. 3h 40 min
    3. 9h 4 min 
    4. 3h 20 min
  19. Which of the following statements is false? 
    1. A square has four lines of symmetry 
    2. A rectangle has two lines of symmetry 
    3. A rectangle has two opposite sides equal
    4. A square has two lines of symmetry
  20. Alvin has eight rabbits. He sold each rabbit for sh 4t. How much money did he get altogether? 
    1. Sh 12t
    2. Sh 84t
    3. Sh 32t
    4. Sh 64t
  21. Identify the obtuse angle in the diagram below.
    21 adadad
    1. D
    2. C
    3. A
    4. B
  22. Simplify the expression;
    9g - 5g + g 
    1. 15g
    2. 78 
    3. 4g
    4. 5g
  23. Grade 4 learners at Highridge Academy used a clock to learn about clockwise and anticlockwise turs. Who among the following made quarter turn anticlockwise?
    23 adadada
  24. A family went for a holiday for 240 hours. For how many days was the holiday?
    1. 10
    2. 24
    3. 6
  25. A pencil cost sh 12.50. What is the cost of 5 such pencils altogether?
    1. Sh 50 250 cts
    2. Sh 62 50 cts 
    3. Sh 625
    4. Sh 60 50 cts
  26. Convert 20/9 into a mixed fraction;
    1. 32/9
    2. 11/9
    3. 22/9
    4. 22/3
  27. Six rubbers cost sh 54. What is the cost of each rubber? 
    1. Sh 7
    2. Sh 9
    3. Sh 5
    4. Sh 8
  28. Fill in the missing numbers in the table.
    28 adadada
    1. T-6, W-56 
    2. W = 72, T-54
    3. W = 56. T-72
    4. T = 72. W = 54
  29. Kenya Red Cross donated 75 bags of rice each 50 kg to a family in one village. How many kg of rice did the family get altogether? 
    1. 3500
    2. 3750
    3. 3755
    4. 3850
  30. A green grocer recorded fruits as follows during a day's sales,
    30 adadada
    Which fruits were recorded the same number on that day? 
    1. Oranges and bananas 
    2. Avocadoes and mangoes 
    3. Mangoes and apples 
    4. Bananas and mangoes

MARKING SCHEME

maths 1 ms

QUESTIONS

  1. In a farm, there are 358 021 coffee seedlings. What is the place value of digit 8 in this number?
    1. Hundreds of thousands.
    2. Thousands.
    3. Thousandths.
    4. Tens of thousands.
  2. A teacher wrote four numbers on flash cards as shown below and asked her learner to spot a number which is divisible by 5
    1. 1432
    2. 366
    3. 160
    4. 99
      Which flash card had the correct answer?
      1. iv
      2. ii
      3. iii
      4. i
  3. In the year 2019, a country recorded a total of 4 433 tourists. What is this number rounded off to the nearest thousand?
    1. 4 000 
    2. 4 400
    3. 5 000
    4. 4 430
  4. Two donations of sh. 120 and sh. 200 have to be shared equally without a remainder. What is the highest amount of money which can be shared equally without a remainder?
    1. Sh. 600
    2. Sh. 40
    3. Sh. 100
    4. Sh. 80
  5. Take away 70 123 from 90 467.
    1. 19 344
    2. 20 344
    3. 20 344
    4. 20 244
  6. In a village, the number of adults is represented by 0.48. Out of this, 0.23 are males and the rest are females. Which of the following numbers represents female adults?
    1. 1. 71
    2. 1.25
    3. 0.71
    4. 0.25
  7. At the beginning of the term, a painted ¾ of the classrooms. At the end of the term, ¼  of the classrooms were painted. What fraction of the classrooms were painted that term?
    1. 5/8
    2. 7/8
    3. 1/8
    4. 4/8
  8. Wambua had 3 packets each with 8 beads. She gave her friend 6 beads. He then found another packet with 10 beads. He used all the beads to make 4 necklaces with equal number of beads. How many beads did he use to make each necklace?
    1. 28
    2. 7
    3. 4
    4. 9
  9. NYS registered 34 680 recruits in February, 41 011 in May and 120 111 in September. How many recruits were registered in the three months altogether?
    1. 194 802
    2. 195 702
    3. 205 802
    4. 195 802
  10. What 743 multiplied by 26?
    1. 19 318
    2. 19 319
    3. 20 318
    4. 19 418
  11. The distance from Patanisho to Soweto is 2km 300m while the distance from Soweto to Konambaya is 3km 700m. What is the distance from Patanisho to Konambaya?
    1. 6km 100m
    2. 5km 00m
    3. 5km 100m
    4. 6km 00m
  12. What is the area of the figure drawn below?
    1.png
    1. 48cm2 
    2. 135cm2 
    3. 24cm2 
    4. 72cm2
  13. A bucket had 25 litres of milk. A goat accidentally knocked it down and spilt some milk. If only 9 litres of milk were saved, how much milk was spilt in millilitres?
    1. 16ml
    2. 16 000l
    3. 16 000ml
    4. 1 600l
  14. Work out the volume of the cuboid drawn below.
    2
    1. 84cm3
    2. 28cm3
    3. 14cm3
    4. 21cm3
  15. A farmer sold carrots weighing 40kg 600g and onions weighing 61kg 200g. What was the total mass? 
    1. 100kg 800g 
    2. 109kg 00g
    3. 101kg 800g
    4. 101kg 400g
  16. A performance ended at the time shown in the clock face below.
    3
    If the performance lasted for 55 minutes, at what time did it start? 
    1. 11.55
    2. 12.10 
    3. 11.10
    4. 12.15
  17. How many kilometres and metres are there in 16 435 metres?
    1. 164km 35m 
    2. 16km 435m
    3. 1km 6435m
    4. 1 643km 5m
  18. Work out:
    4√33 minutes 4 seconds 
    1. 8 minutes 16 seconds 
    2. 7 minutes 16 seconds 
    3. 8 minutes 26 seconds
    4. 7 minutes 26 seconds
  19. Which of the following services is offered by banks in our country? 
    1. Educating investors on how to save.
    2. Paying the salaries of workers in the country.
    3. Giving loans to citizens. 
    4. Ensuring proper use of money in the country.
  20. Budgeting before spending is important because 
    1. we can avoid unnecessary expenses. 
    2. items budgeted for are bought at cheaper prices. 
    3. it helps to spend a lot of time when shopping. 
    4. when we budget, we only buy high quality products.
  21. The following are properties of different shapes:
    1. It has three sides.
    2. Opposites sides are parallel and equal
    3. It has three angles.
    4. It has four equal and parallel sides.
      Which of the above properties is for a rectangle?
      1. iv
      2. ii
      3. i
      4. iii
  22. What is the next shape in the pattern below?
    4
  23. Which of the following angles is greater than a right angle but smaller than a reflex angle?
    5
  24. In a class, there were r pupils. During a PHE lesson, the teacher grouped them into fours. Which of these expressions shows the number of groups that were formed?
    1. 4r
    2. r x 4
    3. r ÷ 4
    4. 4 + r
  25. Mrs. Osewe bought mangoes and oranges. All the fruits were 27. If the mangoes were y, how many oranges did she buy?
    1. 27 - y
    2. 27 x y
    3. 27 ÷ y
    4. 27+ y

 

 

 

Grade 5 learners measured the heights of their tomato seedlings and got the following information. Use it to answer questions 26 to 30.

Height of the seedlings No. of seedlings
18cm 7
19cm 19
20cm 13
21cm 10
22cm 15
23cm 21
  1. How many seedlings were 21cm high? 
    1. 19
    2. 13
    3. 10
    4. 15
  2. How many more seedlings were 23cm  than those that were 19 cm? 
    1. 4
    2. 3
    3. 5
    4. 2
  3. How many seedlings were the shortest?
    1. 18
    2. 21
    3. 7
    4. 23
  4. What was the total height of the seedlings that were 22cm and 19cm high?
    1. 41
    2. 40
    3. 34
    4. 35
  5. If the class measured all the seedlings, how many seedlings were there altogether?
    1. 58
    2. 85
    3. 86
    4. 84

 

 

 

 

 

 

 

 

 

MARKING SCHEME

  1. B
  2. C
  3. A
  4. D
  5. B
  6. B
  7. C
  8. B
  9. D
  10. B
  1. C
  2. D
  3. D
  4. C
  5. B
  6. D
  7. C
  8. B
  9. A
  10. C
  1. A
  2. C
  3. D
  4. C
  5. A
  6. D
  7. B
  8. D
  9. C
  10. D

Questions

  1. There are ten million one hundred twenty two thousand, three hundred and one people on a certain city. What is the number of the people in symbols?
    1. 10 122 301
    2. 11 223 010
    3. 10 120 301
    4. 100 012 231
  2. What is the place value of 4 in 3 468 521?
    1. Tens of thousands
    2. Thousands
    3. Hundred of thousands
    4. Tens
  3. In a fundraising ceremony, the amount collected was sh 957 342. What is the sum of the total value of 5 and 3 in the amount collected?
    1. 50 000
    2. 49 700
    3. 50 300
    4. 53 000
  4. During malaria outbreak, the government distributed 13 720 mosquito nets to 56 families. How many nets did each family get?
    1. 13 720
    2. 17 776
    3. 542
    4. 245
  5. Jame's coffee farm has 98 rows of trees. If there are 86 trees oneach row, how many coffee trees are there in the farm to the nearest thousand?
    1. 8 000
    2. 8 428
    3. 7 100
    4. 9 000
  6. What is the area of the square shown below?
    maths06
    1. 60cm2
    2. 225cm2
    3. 60cm
    4. 225cm
  7. Bunyole school has 98 learners. the learners were given 98 098 pencils to share equally. How many pencils did each learner get?
    1. 1 001
    2. 10
    3. 101
    4. 100
  8. Find the reciprocal of 94/5
    1. 5/49
    2. 94/5
    3. 5/45
    4. 49/5
  9. A factory uses 245 000ml of milk every day. How many litres does the factory use in one day?
    1. 24 500l
    2. 245l
    3. 2 450 l
    4. 24.5l
  10. Kipkorir ran a distance of 7.25km in a race. What distance did he run as a fraction?
    1. 73/4
    2. 72/5
    3. 75/8
    4. 71/4
  11. John bought 721/2kg of sugar. He then packed this sugar into packets. How many 1/2 packets did he make?
    1. 144
    2. 73
    3. 145
    4. 36
  12. Work out the following
    XXXIV + XLVI
    1. 89
    2. 70
    3. 79
    4. 99
  13. The class wall clock read as shwon below
    maths13
    What will be the time after 5 hours 30 minutes
    1. 5:00 pm
    2. 9:05 am
    3. 12:30 am
    4. 12:45 pm
  14. Work out the following:
    31/4 x 11/2
    1. 47/8
    2. 31/2
    3. 41/4
    4. 31/8
  15. What is the area of the shaded part?
    maths15
    1. 280cm
    2. 140cm2
    3. 68cm
    4. 280cm2
  16. The following is a price list in a shop
    Item Price 
    A loaf of bread
    A pencil
    geometrical set
    1kg of maize flour
    A bar of soap
    Shs 60
    Shs 25
    Shs 280
    Shs 190
    Shs 140
    Jane bought the following items
    1. 6 pencils
    2. 5 loaves of bread
    3. 2 geometrical sets
    4.  3kg of maize flour
      She gave a shopkeeper 2-shs 1000. How much did she receive as a balance?
      1. Shs 420
      2. Shs 1 505
      3. Shs 495
      4. Shs 1 580
  17. A team obtained 32 out of 40 points in a competition. What is the source as a percentage?
    1. 20%
    2. 70%
    3. 80%
    4. 32%
  18. A lorry weighs 5 tonnes when empty. It was loaded with 50 bags of rice each weighing 90kgs. What is the total mass of the loaded lorry in kilograms
    1. 4 500kg
    2. 5 000kg
    3. 1 500kg
    4. 9 500kg
  19. Find the value of m in:
    14m - 6 + 6m = 54
    1. 6
    2. 60
    3. 20
    4. 3
  20. A basketball match takes a total time of 46minutes 35 seconds in 5 equal sessions. How much time does it take in one session?
    1. 8 min 27 sec
    2. 9 min 19 sec
    3. 9 min 27 sec
    4. 8 min 18 sec
  21. Amos uses a 135 litres 120ml of water in twelve days. How many litres and millilitres does he use in a day?
    1. 11l 10ml
    2. 10l 260ml
    3. 9l 10ml
    4. 11l 260ml
  22. Okiek farm is of the shape shown in the figure below
    maths22
    What is its perimeter in kilometes?
    1. 20km
    2. 2km
    3. 200km
    4. 2 000km
  23. Arrange the following fraction in ascending order
    2/5, 1/4. 3/8 , 1/2
    1. 1/4 , 3/8, 2/5, 1/2
    2. 3/8, 2/5, 1/4, 1/2
    3. 2/5, 1/,. 3/8, 1/4
    4. 1/2, 2/5, 3/8, 1/4
  24. A piece of cloth measures 2,135m. What is the length of 25 such pieces of cloth? Give your answer to decimal places.
    1. 53.37
    2. 2.13
    3. 53.38
    4. 2.14
  25. What is the size of angle y?
    maths25
    1. 135°
    2. 45°
    3. 130°
    4. 70°
  26. A swimming pool has a diameter of 56 metres. What is the circumference of the swimming pool?
    1. 176m
    2. 78m
    3. 626m
    4. 1 252m
  27. During the holiday, Joan visited her grandparents for 65 days. How mmany weeks and days did she spend there?
    1. 2 weeks 9 weeks
    2. 8 weeks 3 days
    3. 7 weeks 5 days
    4. 9 weeks 2 days
  28. How many layers are used to make the stack below?
    maths28
    1. 120
    2. 5
    3. 24
    4. 8

      The bar graph below shows the amount of milk sold in one week by a farmer. Use it to answer 29 and 30
    5. maths29
  29. Which two consecutive days did the farmer receive the best income?
    1. Monday and Tuesday
    2. Tuesday and Saturday
    3. Friday and Saturday
    4. Tuesday and friday
  30. The cost of milk was sh 50 per litre. How much money did the farmer receive for the first three days of the week?
    1. Shs 3250
    2. Shs 5000
    3. Shs 8250
    4. Shs 6500

Marking Scheme

  1.  A
  2. C
  3. C
  4. D
  5. B
  6. B
  7. A
  8. A
  9. B
  10. D
  1. C
  2. C
  3. D
  4. A
  5. B
  6. A
  7. C
  8. D
  9. D
  1.  D
  2. B
  3. A
  4. C
  5. B
  6. A
  7. D
  8. B
  9. C
  10. A

QUESTIONS

  1. Write the number shown on the abacus in words
    1
    1. Eight hundred thousands and eighty eight
    2. Eight hundred thousands eight hundred and eighty
    3. Eight hundred thousands and eight eight
    4. Eight hundred thousands eight hundred and eight
  2. A village had 468125 people. How many people are represented by digit 6 and 1 altogether?
    1. 60000
    2. 60010
    3. 61000
    4. 60100
  3. Round off 749606 to the nearest thousand
    1. 740000
    2. 800000
    3. 749000
    4. 750000
  4. Pupils wanted to plant seedlings in rows of 5 or 10. Which of the following number of seedlings were planted into exact number of 5 rows of 10 rows?
    1. 345
    2. 374
    3. 472
    4. 450
  5. What is the sum of the GCD and LCM of 4 and 6?
    1. 14
    2. 12
    3. 24
    4. 3
  6. Githurai town has 450 455 children,335081 men and 408300 women. How many people are in the town altogether?
    1. 1093836
    2. 785536
    3. 1193836
    4. 1192836
  7. A farm produced 859672 kg of rice in April. In August the farm produced 675435 bags of rice. How many more kg of rice did the farm produce in April than in August?
    1. 284237
    2. 124247
    3. 224243
    4. 184237
  8. Work out;
    1. 40
    2. 14
    3. 10
    4. 15
  9. Which of the following pattern is formed using the rule of multiply by 3?
    1. 4, 8, 16, 32, 64
    2. 3, 9, 27, 81, 100
    3. 4, 12, 36, 108, 324
    4. 10, 30, 90, 270, 440
  10. The perimeter of the square below is 72m. Find the mesure of its side.
    2
    1. 12
    2. 36
    3. 9
    4. 18
  11. A trader had 53.75 litres of kerosene. He sold 17.75 litres in the morning and 24.35 litres in the evening. How many litres remained?
    1. 36.00
    2. 11.65
    3. 71.50
    4. 11.35
  12. Simplify the fraction; 60/90
    1. 6/9
    2. ¾
    3. 2/3
    4. 7/9
  13. The distance from John's school to his home is 5 km 445m. Tabitha's home is 835m from John's home. What is distance from Tabitha's home to school?
    1. 4km 610 m
    2. 5km 280 m
    3. 6km 270 m
    4. 6km 280m
  14. Calculate the volume of the cuboid below remained?
    3
    1. 140cm3
    2. 480cm3
    3. 24cm3
    4. 488cm3
  15. A trader bought 50 litres of milk. He sold 35L 770millilitres. How many litres remained?
    1. 15L 770 ml
    2. 15L 230 ml
    3. 14L 230 ml
    4. 14L 770 ml
  16. The mass of a building block was 3 kg 530g. What is the mass of 6 such blocks?
    1. 21kg 180 g
    2. 18kg 3180g
    3. 20 kg 180g
    4. 211kg 180g
  17. Work out;
    Minutes Seconds
    6               55
    x                4
    1. 27min 20sec
    2. 27min 40sec
    3. 26 min 40sec
    4. 26min 20 sec
  18. What is the sum of the faces and edges of closed cube?
    1. 18
    2. 20
    3. 24
    4. 14
  19. Muhindi has C cows and Kahura had 15 cows. They had 40 cows altogether. Form an equation to show the total numbr of cows for both of them?
    1. C - 15 - 40
    2. C + 15 + 40
    3. C + 15 = 40
    4. C - 15 = 40
  20. Joyce is y years. Her father is three times as old as Joyce. If the father is 36 years old, how old is Joyce?
    1. 18
    2. 14
    3. 24
    4. 12
  21. How many small tins will fill the big tin?
    4
    1. 10
    2. 100
    3. 1000
    4. 110
  22. David bought th following items in a shop:
    3k of rice @ sh130
    2 loaves of bread for sh120
    5 eggs @ sh15
    A packet of milk for sh 60
    He paid using sh1000 note. How much did he get as balance?
    1. Sh 645
    2. Sh 355
    3. Sh 235
    4. Sh 765
  23. Which of the following is a cylinder?
    5
  24. Solve the equation;
    5P-3=12
    1. 3
    2. 6
    3. 5
    4. 4
  25. A tank is 7/8 full of water. A family used water for a week and they found it was ¼ full. What fraction of water did they use?
    1. 4/8
    2. ¾
    3. 1/8
    4. 3/8
  26. Convert 1000 into a decimal..
    1. 0.8
    2. 0.08
    3. 0.008
    4. 8.000
  27. A class has 20 boys and 27 girls. One day ¼ of the boys and 1/3 of the girls went for a competition. How many pupils went for the competition?
    1. 14
    2. 47
    3. 33
    4. 43
  28. A class has 5 rows. Each row received 7 litres 320ml of milk. How much juice did they receive in total?
    1. 35L 500 ml
    2. 35L 600 ml
    3. 36L 500 ml
    4. 36L 600 ml
  29. Arrange in descending order;
    2/5 , ½ , 3/10 , ¼
    1. ¼ , 3/10 , 2/5 , ½
    2. ½ , 2/5 , ¼ , 3/10
    3. ½ , 2/5 , 3/10 , ¼
    4. ¼ , 2/5 , ½ , 3/10
      The graph below shows the type of games liked by pupils in a school. Use it to answer question 30.
      6
  30. How many more pupils like basket ball then hockey?
    1. 10
    2. 6
    3. 16
    4. 14

MARKING SCHEME

  1. B
  2. D
  3. D
  4. D
  5. A
  6. C
  7. D
  8. C
  9. C
  10. D
  1. B
  2. C
  3. D
  4. B
  5. C
  6. A
  7. B
  8. A
  9. C
  10. D
  1. B
  2. B
  3. D
  4. A
  5. D
  6. C
  7. A
  8. D
  9. C
  10. A
Tagged under

Questions

  1. Farmers from Konambaya county delivered 492 600 kilograms of millet. What is the place value of digit 4 in this number?
    1. Tens of thousands.
    2. Hundreds of thousands.
    3. Four hundred thousand.
    4. Millions.
  2. A trader bad three hundred and forty nine thousand, eight hundred and seventy two shillings in his account. How much is this in symbols?
    1. Sh. 394 872
    2. Sh. 384 972
    3. Sh. 349 972
    4. Sh. 349 872
  3. Round off 56 380 to the nearest thousand.
    1. 56 000
    2. 56 300
    3. 60 000
    4. 56 400
  4. Kiambamba mixed 3.027 litres of water to 2.638 litres of milk to prepare tea. How much tea did he prepare?
    1. 6.6651
    2. 5.6551
    3. 6.6551 
    4. 5.6651
  5. Convert 40% as a fraction in its simplest form.
    1. 40/100
    2. 2/5
    3. 4/10
    4. 2/50 
  6. During campaign, an outgoing governor distributed 2 793 T-shirts equally among 147 regions. How many T-shirts did each region receive?
    1. 29
    2. 19
    3. 18
    4. 27
  7. Multiply: 2 141 x 16
    1. 33 156
    2. 34 246
    3. 34 256
    4. 33 255
  8. Take away 7/11 from 7/9
    1. 14/21
    2. 7/9
    3. 14/99
    4. 1/36 
  9. A teacher wrote 77 + 23 x 57 + 19 − 11 on the chalkboard and asked her learmers to work it out. If the learners worked it out correctly, what answer did they get? 
    1. 2400
    2. 1400
    3. 2350
    4. 1396
  10. What is the square root of 361?
    1. 29
    2. 19
    3. 17
    4. 27
  11. Mwamburi's string is 7cm long while Mwakideu's is 2cm shorter. What is the total length of their strings?
    1. 9 cm
    2. 900 mm
    3. 12 000 mm
    4. 12cm
  12. A grandmother cooked 12 litres 500ml of porridge. She gave 9 litres 600ml to her farm workers and the rest to her grandchildren. How much porridge did she give to her grandchildren?
    1. 22l 100ml
    2. 2l 100 ml
    3. 2l 1100ml
    4. 2l 900ml
  13. The circumference of a circle is 22cm and its diametro is 7cm. How many times in the circumference longer than the diametre?
    1. 15
    2. 31/7
    3. 7/22
    4. 71/3
  14. Medicine was stored in a cubical container like the one drawn below.
    Math14
    What was the capacity of the medicine in litres?
    1. 512 000 l
    2. 512 l
    3. 0.512 l
    4. 51 200 l
  15. A donkey cart was loaded with 490kg of nails, 500kg of cement and 370kg of iron sheets. What is the total mass in tonnes?
    1. 1 360t
    2. 1.36t
    3. 13.6t
    4. 136.0t
  16. A marathon runner runs 13km 650m in aday. What distance does she cover in four days?
    1. 53km  600m
    2. 54km 600m
    3. 52km 2 600m
    4. 17km 650m
  17. An NGO organisation donated 1291 600kg of maize to be shared equally among 8 boarding schools in a sub county. What mass of malze did cach school get?
    1. 16t  1600kg
    2. 15t  200kg
    3. 16t  200kg
    4. 15t  1600kg
  18. A radio program started at 8.30pm. At what time did it start in 24 hour clock system?
    1. 2030h
    2. 0830h
    3. 8030h
    4. 3020h
  19. Joan bought three bens each sh. 400. She later sold them for sh. 550 cach. What was her profit
    1. Sh. 1 650
    2. Sh. 1 200
    3. Sh. 450
    4. Sh. 550
  20. Robin took 5 minutes 45 seconds to walk from his house to the shop. He took 7 minutes 23 seconds to walk back bomo. How long did he take to walk to the shop and back?
    1. 12 minutes 68 seconds
    2. 12 minutes 8 seconds 
    3. 2 minutes 22 seconds
    4. 13 minutes 8 seconds
  21. Which of the following is a diagonal line?
    Math21
  22. Which of the following angles is correctly matched with its name?
    Math22
  23. Angles are measured in units called
    1. protractors.
    2. metres.
    3. centimetres.
    4. degrees.
  24. Ole Macho had 25 cows and n sheep. If - the total number of animals was 80, which of the following equations can be used to find the value of n?
    1. 80 = 25- n
    2. 80 + 25 =n
    3. 25 + n= 80
    4. 25+ n= 80
  25. Matunda had p oranges and 15 mangoes. If the total number of fruits was 32, what is the value of p?
    1. 17
    2. 47
    3. 15
    4. 36


      The table below shows Grade six learners' favourite colours. Use it to answer questions 26 - 30.
      Math26
  26. Which colour is the most popular?
    1. Red
    2. Yellow
    3. Green
    4. Orange
  27. How many less learners like colour blue than colour red?
    1. 11 
    2. 8
    3. 19
    4. .3
  28. Which two colours are liked by a total of fourteen pupils?
    1. Green and blue.
    2. Orange and red.
    3. Green anf yellow.
    4. Blue and red.
  29. The least favourite colour is
    1. blue.
    2. red.
    3. yellow.
    4. green.
  30. How many learners choose colours in the class?
    1. 49
    2. 37
    3. 47
    4. 38

Marking Scheme

  1. B
  2. D
  3. A
  4. D
  5. B
  6. B
  7. C
  8. C
  9. D
  10. D
  1. D
  2. D
  3. B
  4. C
  5. B
  6. B
  7. C
  8. A
  9. C
  10. D
  1. B
  2. D
  3. D
  4. C
  5. A
  6. B
  7. D
  8. A
  9. D
  10. C
  1. What is three million four hundred and four thousand  five hundred and five in symbols?
    1. 3404505 
    2. 30404505
    3. 3044505
    4. 34004505
  2. What is the place value of digit seven in the number  96.80075?
    1. Thousandths
    2. Hundredths
    3. Ten thousandths 
    4. Ten thousands
  3. What is 456.98 rounded off to the nearest tenths?
    1. 457.00
    2. 457
    3. 467.00
    4. 457.0
  4. What is; C7ET22022mathset2Q4  in its simplest form?
    1. 14/26 
    2. 7/13
    3. 7/12
    4. 13/24
  5. What is the next number in the series?
    845, 805, 765, 725, _______
    1. 685
    2. 680 
    3. 645
    4. 700
  6. Convert 23/5, into a decimal. 
    1. 0.26
    2. 2.6
    3. 0.0026
    4. 2.66
  7. A newspaper vendor sells an average of 36 newspapers everyday. Each newspaper sells at sh.35. How much money does he receive in 28 days
    1. Sh.36000
    2. Sh.30240
    3. Sh.35280
    4. Sh.27280
  8. The figure below represents a plot of land with semi-circular ends. 
    C7ET22022mathset2Q8
    What is its perimeter?
    1. 264cm
    2. 300cm
    3. 164cm
    4. 564cm
  9. What is the value of; 
    (21/3 ÷ 4) ÷ 3/4 ?
    1. 2/3 
    2. 1/4
    3. 8/9
    4. 102/3 
  10. What is the value of;
    1.8 x 0.35  ?
    0.3 x 0.07 
    1. 30
    2. 3
    3. 13
    4. 140.3
  11. The price of a book was sh.330 after a 12% deduction. What was the original price of the book? 
    1. Sh.375
    2. Sh.75
    3. Sh.15
    4. Sh.45
  12. Using a ruler and apair of compasses, construct triangle XYZ such that XY = 5cm, YZ=6cm and angle XYZ=30°. Measure line XY.
    1. 5cm
    2. Зcm 
    3. 4cm
    4. 6cm
  13. Trees are planted 24m apart on both sides of a road 12km long. Each seedling costs sh. 15. What is the total cost of the seedlings? 
    1. Sh.15000
    2. Sh.15030
    3. Sh.7515
    4. Sh.7530
  14. An empty pick-up has a mass of 1.2 tonnes. It is loaded with 90kg bags of maize until the weight becomes 4.8 tonnes. What is the total number of bags loaded into the pick-up?
    1. 400
    2.  40
    3.  20
    4. 200
  15. What is the value of x in the equation?
    4(2x + 6) − 10 = 30 
    1. 2
    2. 8
    3. 16
  16. The fractions 1/25/83/42/5  and ?, are to be arranged in order from the smallest to the largest. Which one of the following is the corect order?
    1. 2/51/23/45/8 
    2. 3/45/81/22/5 
    3. 2/55/81/23/4 
    4. 2/51/25/83/4 
  17. Hamisi had sh.4800. He spent 60% of the money on buying some items. How much money was he left with?
    1. Sh.2880
    2.  Sh.1920
    3.  Sh.4860
    4. Sh.4740
  18. One bell rings at intervals of 30 minutes and another at intervals of 40 minutes. If they are rung at 7.55am together, when will they ring together again?
    1. 8.55 am
    2. 10.55am
    3. 9.55am
    4. 9.55pm
  19. A mother bought the following items from the market;
    3kg of potatoes @ sh.15
    2kg of tomatoes @sh.30
    1/2 kg of onions @sh.50 per kg
    8 oranges @sh.5
    She gave the seller a 500 shillings note. What balance did she get?
    1. Sh.170
    2. Sh.330
    3. Sh.305
    4. Sh.335 
  20. In a mixed school, there are 720 pupils. If 450 are girls, what percentage are boys?
    1. 37½%
    2. 62½%
    3. 27%
    4. 38½%
  21. What is the value of;
    1/4 ÷ 1/2 of 1/22/3 + (2/3 − 1/6)
    1. 21/6 
    2. 11/6 
    3. 3/4 
    4. 9/16 
  22. The area of the trapezium JKLM drawn below is 544cm2. Line JK is parallel to line LM and line JM is the perpendicular distance
    C7ET22022mathset2Q22
    What is the length of line KL?
    1. 28cm
    2. 12cm
    3. 16cm
    4. 20cm 
  23. The area of a square plot of land is 576cm2. What is the measure of one of its sides? A
    1. 14cm
    2. 24cm
    3. 34cm
    4. 20cm 
  24. Somo deposited sh.10800 in a bank which paid simple interest. At the end of the tenth month, he withdrew a total of sh.11340. At what rate per annum was the interest charged?
    1. 6%
    2. 0.5% 
    3. 12.6%
    4. 10% 
  25. In the figure below, line AB is parallel to line DC and EF is a straight line.
    C7ET22022mathset2Q25
    Which one of the following statements is correct about the figure?
    1. Angle a and angle e = 180°
    2. Angle e and angle f = 180° 
    3. Angle b = angle g
    4. Angle h = angle a
  26. During drought, a camel lost 16kg. What was the percentage decrease if the mass of the camel is now 144kg?
    1. 10%
    2. 0.5%
    3. 12.6%
    4. 10%
  27. Express 32½ as a fraction and simplify.
    1. 13/40
    2. 13/20  
    3. 5/40
    4. 65/200  
  28. A book is made up of 810840 words. In every page there are 6757 words. How many pages does the book have?
    1. 465
    2. 126
    3. 146
    4. 456 
  29. What is the perimeter of the figure below if its radius is 3.5m? (Take π = 22/7)
    C7ET22022mathset2Q29
    1. 36m
    2. 18m
    3. 29m
    4. 14.5m 
  30. Which one of the following number is not divisible by 11?
    1. 57640
    2. 86284
    3.  11995
    4. 41536  
  31. What is the value of
      rpg - 4q  
      4p - 3p
    given that r=2, p=2r and q = p+2 A.==
    1. 12/3
    2. 11/3 
    3. 21/3
    4. 22/3 
  32. A factory produced 40.4 tonnes of maize in January. The maize wes packed in 100kg bags and sold at sh.1000 each. How much money was obtained? 
    1. Sh.4040000
    2. Sh.4040
    3. Sh.40400 
    4. Sh.404000
  33. What is the sum of prime number between 60 and 80?
    1. 480
    2. 491
    3. 351
    4. 424
  34. Lucy spends 1/ of her salary on rent, 1/8 on transport and 2/7 on food. If she saves the remaining amount, what fraction of her salary does she save?
    1. 29/36 
    2. 7/9
    3. 27/56 
    4. 9/14 
  35. Atieno is paid 2275min in a week for the job she does. How much money did she earn in a week that she missed going for the job three times?
    1. Sh.1300
    2. Sh.975
    3. Sh.758.30
    4. Sh.568.75
  36. A section of a road 9km long was drawn on a map using a scale of 1:100000. What was the measure of the drawing on the map?
    1. 4.5cm .
    2. 3.5cm
    3. 18cm
    4. 9cm
  37. The figure below represents Ongwae's piece of land 
    C7ET22022mathset2Q37
    What is the area of Ongwae's piece of land in hectares? (Take π = 3.14)
    1. 107808
    2. 130416 
    3. 10.7808 . 
    4. 13.0416 
  38. A saleslady is given a commission of 7% on the value of goods she sells. In a certain month, she sold goods worth sh.110000. How much money did she earn that month?
    1. Sh.8400
    2. Sh.7700
    3. Sh.12500
    4. Sh.9600 
  39. A certain job can be done by 12 men in 16 days. How many days.can 8 men working at the same rate take to finish the job? 
    1. 27
    2. 18
    3. 10
    4. 24 
  40. Calculate the capacity in litres of a rectangular water tank that measures 1.5m by 0.8m by 60cm.
    1. 7.2
    2. 0.72
    3. 720
    4. 7200
  41. What is the total surface area of the closed cuboid shown below?
    C7ET22022mathset2Q41
    1. 25920cm
    2. 5652cm
    3. 6354cm
    4. 26280cm
  42. A bus travelled from Kismayu to Dahola, a distance of 32km/hr between 8.30am and 1.00pm. Calculate its speed in m/s. 
    1. 20m/s
    2. 66½ m/s
    3. 72m/s
    4. 108m/s
  43. The mean mass of 6 boys is 48kg. If the seventh boy is added, the mean becomes 47.5kg. What is the mass of the seventh boy? 
    1. 44.5kg
    2. 56kg
    3. 49.5kg
    4. 38kg .
  44. In the figure below, line RQ = 17cm, line RP = 15cm and angle RPQ = 90°. What is the area of triangle PQR?
    1. 68cm2
    2. 127.5cm2
    3. 96cm2
    4. 60cm2 
  45. The market price of a jacket was sh. 1800. Kim bought it on cash and he was given a discount of 5%. How much did he pay for the jacket?
    1. Sh.90
    2. Sh.1710
    3. Sh.1890
    4. Sh.1620
  46. Find the circumference of the circle given below. (Take π = 22/7)
    C7ET22022mathset2Q46
    1. 38cm
    2. 11cm
    3. 22cm
    4. 44cm
  47. A train leaves town A at 11.05am and takes 13hrs 45min to reach town B. At what time did it reach town B? 
    1. 11.48am
    2. 12.48pm
    3. 1.48am
    4. 0048hrs 
  48. A school has 240 pupils in lower primary. This is 60% of the total number of pupils in the school. How many pupils are there in upper primary?
    1. 300
    2. 340
    3. 160
    4. 400
  49. A teacher had 15½m of cloth. She gave each of her 4 pupils 3½m of the cloth each. What length of cloth was she left with?
    1. 11/3
  50. What is the next shape in the pattern below?
    C7ET22022mathset2Q50

MARKING SCHEME

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

Questions

  1. Which of the following is six million, six hundred and six thousand and sixty six in numerals?
    1. 6 606 066
    2. 6 066 066
    3. 6006 606
    4. 6 606 660
  2. How many hundreds are there in the total value of digit 5 in the number 8 534 217?
    1. 500
    2. 500 000
    3. 5 000
    4. 50 000
  3. What is 59.34892 to the nearest thousandths?
    1. 59.3489
    2. 59.35
    3. 59.3
    4. 59.349
  4. The area of a square plot of land is 676m. What is its perimeter?
    1. 52m
    2. 104m
    3. 208m
    4. 156m
  5. What is the difference between the GCD of 12, 24 and 36 and the LCM of 12, 18 and 24?
    1. 60
    2. 84
    3. 48
    4. 12
  6. What is the value of
    0.48 x 7.2 x 5.8 ?
      0.12 x 2.9
    1. 0.576
    2. 5.76
    3. 57.6
    4. 576
  7. By selling a shirt at sh. 360, a trader made a loss of 20%. What was the buying price of a trouser?
    1. Sh 500
    2. Sh. 600
    3. Sh. 420
    4. Sh. 450
  8. Find the perimeter of the rectangle shown Below if y=8.
    0101Math08
    1. 29cm
    2. 58cm
    3. 116cm
    4. 84cm
  9. What is the square root of the number obtained when 2 304 is divided by 4?
    1. 22
    2. 28
    3. 24
    4. 32
  10. In the figure below line AB and AC are straight lines. Line PQ and line TS are parallel lines
    0101Math10
    What is the size of angle BAC?
    1.  70°
    2.  60°
    3.  50°
    4. 40°
  11. What is the next number in the pattern below?
    4,9, 25, 49 ___________
    1.  81
    2.  169
    3.  225
    4. 121
  12. Arrange the fractions below in descending order: 13/20, 4/5, 3/8, 3/4
    1. 3/8 , 13/203/44/5
    2. 4/, 3/4 , 13/203/8
    3.  4/13/20 , 3/4  , 3/8
    4. 3/8 , 3/413/204/5
  13. What is the square root of 0.0169?
    1. 0.0013
    2.  0.013
    3. 0.13
    4. 1.3
  14. The parallel lines of a trapezium are 18cm and 14cm respectively. The perpendicular distance between parallel lines is 12cm. What is its area? 
    1. 192cm2
    2. 210cm2
    3. 180cm2
    4. 160cm2
  15. What is the circumference of a circle whose radius is 14cm?
    1. 44cm
    2. 22cm
    3. 176cm
    4. 88cm
  16. Which of the following numbers is divisible by 11?
    1. 25 885
    2. 29 874
    3. 16 896
    4. 26 348
  17. Which of the following will not form a right angled triangle?
    1. 7cm, 24cm, 25cm
    2. 7cm, 15cm, 17cm
    3. 5cm, 12cm, 13cm
    4. 9cm, 40cm, 41cm
  18. Write 37.5% as a fraction in its simplest
    1. 3/8 
    2. 3/5
    3. 3/16
    4. 5/8
  19. The figure below is a cylinder.
    0101Math19
    What is its volume?
    1. 16 420cm
    2. 18 520cm
    3. 13 200cm
    4. 27 720cm
  20. Increase 500 by 20%
    1. 600
    2. 1 100
    3. 800
    4. 900
  21. In a factory, 6 096 bottles of soda were packed in crates of 24 bottles each. How many crates were packed?
    1.  301
    2.  154
    3.  254
    4. 124
  22. Linus bought a sofa set by paying a deposit of sh. 25 000 and eight monthly instalments of sh. 4 500 each. How much was the total cost of the sofa set?
    1. Sh. 61 000
    2. Sh. 36 000
    3. Sh. 54 000
    4. Sh. 76 000
  23. Find the area of the shaded part in the figure below.
    0101Math23
    1. 980cm2
    2. 806cm2
    3. 1 786cm2
    4. 174cm2
  24. A family uses 3 - 2 dl packet of milk everyday. How many litres does the family use in a fort night?
    1. 841
    2. 8.41
    3. 0.841
    4. 8401
  25. The area of a squate plot of land is 6.25ha. What is the length of the plot?
    1. 1 000m
    2. 250m
    3. 500m
    4. 125m
  26. The circumference of a circle is 88m. What is the length of its radius?
    1. 28m
    2. 14m
    3. 7m
    4. 3.5m
  27. Decrease 3 000 by 20%.
    1. 2 400
    2. 2 600
    3. 2 800
    4. 2 200
  28. Ndeto bought 3 trays of eggs at sh. 300. During transportation 10 eggs broke, He sold the rest at sh. 12.00 each. If each tray holds 30 eggs, what was his percentage profit?
    1. 8%
    2. 5%
    3. 20%
    4. 62/3 %
  29. What is the difference between the largest and the smallest number formed by the digits 9, 8, 5,0 and 7?
    1. 47 961
    2. 54 281
    3. 98 750
    4. 50 789
  30. Eutychus was given a commission of sh.4 000 after selling goods worth 80 000. What was his percentage commission?
    1. 95%
    2. 20%
    3. 80%
    4. 5%
  31. The figure below shows a rectangular piece of land. It was fenced using three strands of wire.
    0101Math31
    If a 4m gate was left, what is the total length of wire used?
    1. 656m
    2. 660m
    3. 648m
    4. 560m
  32. Find the area of the figure in centimetres.
    0101Math32
    (Take π = 3.14)
    1. 24.0cm2
    2. 63.25cm2
    3. 48.25cm2
    4. 39.25cm2
  33. What is the value of 168 008 +8?
    1. 21 001
    2. 2 101
    3. 211
    4. 210 001
  34. What is the product of the vertices and faces of an open rectatigular prism?
    1. 48
    2. 64
    3. 40
    4. 56
  35. What is the volume of a cylinder whose whose diameter is 28cm and a height of 15cm?
    1. 1 540cm³
    2. 9 240cm³
    3. 3 080cm³
    4. 1232cm³
  36. Construct an equilateral triangle whose side is 6cm. Draw a circle that touches the vertices. Measure the radius.
    1. 42cm
    2. 1.6cm
    3. 2.5cm
    4. 3.5cm
  37. Below are properties of a certain quadrilateral.
    1. All sides are equal.
    2. Diagonals are varied and bisect each. other at a right angle.
    3. Opposite angles are equal
      Which of the following quadrilateral is described above?
      1. Rhombus
      2. Parallelogram
      3. Rectangle 
      4. Trapezium
  38. Simplify:
    5(2a + 3b) + 3(2a − 2b)
    1. 16a - 96
    2. 16a +216
    3. 16a - 216
    4. 16a + 9b
  39. In a scale drawing, 1cm represent 1.2km, what is the real length of a drawing length of 15cm?
    1. 30km
    2. 18km
    3. 24km
    4. 21km
  40. What is the value of:
    2b² - k
         P
    if b=4, k=2 and p= 5? 
    1. 5
    2. 7
    3. 6
    4. 8
  41. Rose is x years old. Her father is ten times as old as Rose. How old will be her father in 20 years to come?
    1. 10x + 20
    2. x+ 20
    3. 10x - 20
    4. 11x + 20
  42. A car travelling at a speed of 65km/hr took 2 1/5 hours to complete a journey. How long was the journey?
    1. 165km
    2. 121km
    3. 135km
    4. 143km
  43. Akamba bus left Eldoret at 11.50pm. It took 4 hours 55 minutes to travel to Nairobi. At what time did it arrive at Nairobi?
    1. 3.25am
    2. 4.45am
    3. 4.45pm
    4. 5.15am
  44. The diagram below shows a semi circular log of wood.
    0101Math44
    What is its surface area?
    1. 1 588cm2
    2. 1 604cm2
    3. 1 054cm2
    4. 1 440cm2
  45. A tank is 1/3 full of water. After drawing 30  litres of water from the tank it became 1/4 full. How much does the tank hold when full?
    1. 360 l
    2. 180 l
    3. 450 l
    4. 540 l
  46. Two bells P and Q ring after every two and three hours respectively. If they ring together at 9.30am, when will they ring together again?
    1. 3.30am
    2. 2.30pm
    3. 4.30am
    4. 3.30pm
  47. Otieno deposited sh. 90 000 in a bank that paid simple interest at the rate of 8% p.a. How much money was in his account after 2½ years?
    1. Sh. 27 000
    2. Sh. 18 000
    3. Sh. 117 200
    4. Sh. 108 000
  48. Mama Kawira bought the following items from a shop.
    3kg of sugar @sh. 110.00
    4 ½kg of rice @sh. 80.00
    3 packets of milk @sh. 50.00
    500g tea leaves for sh. 75.00
    How much was her total bill?
    1. Sh. 725
    2. Sh. 915
    3. Sh. 875
    4. Sh. 1 025
  49. The pie chart below shows how Emily spends her sh. 36 000 salary.
    How much did she spend on school fees?
    1. Sh. 10 500
    2. Sh. 4 500
    3. Sh. 13 500
    4. Sh. 9 000
  50. Paul scored as follows in his end of term exams.
    Mathematics - 56%
    Kiswahili - 30%
    English - 77%
    Science - 90%
    SST - 77%
    What was his mean score for the five exams?
    1. 66%
    2. 68%
    3. 62%
    4. 65%

Marking Scheme

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