Displaying items by tag: mathematics

QUESTIONS

  1. Write in symbols. One million eight hundred thousand and seventy seven.
    1. 1810077
    2. 180077
    3. 1800077
    4. 1080077
  2. Express 0.04 as percentage
    1. 40%
    2. 0.4%
    3. 4%
    4. 400%
  3. What is the total value of digit 5 in the number 6385429?
    1. 50
    2. 500
    3. 5000
    4. 50000
  4. The school enrolment of pupils in Koma district was; Boys 8493, girls 7648. How many pupils were enrolled altogether?
    1. 845
    2. 15141
    3. 16041
    4. 16141
  5. Find the product of 62/3 and 11/2?
    1. 10
    2. 44/9
    3. 20
    4. 30
  6. The area of a triangle below is 24cm2. Its height is 8cm. Find its base.
    6 maths
    1. 16 cm 
    2. 4cm
    3. 3 cm
    4. 6cm
  7. Work out; 8700212 - 7458356
    1. 1241846
    2. 1141856
    3. 1241856
    4. 1251866
  8. Work out; 0.09 x 0.8
    1. 0.72
    2. 0.072
    3. 0.0072
    4. 72
  9. Convert 2500ml into dl.
    1. 25 dl
    2. 250 dl
    3. . 2.5 dl
    4. 0.25dl
  10. Find the circumference of the circle drawn. Use π = 22/7
    10 maths
    1. 44 cm 
    2. 88 cm
    3. 22 cm
    4. 44cm
  11. Divide 4.272 ÷ 4
    1. 1.068
    2. 168
    3. 10.68
    4. 0.168
  12. Solve the equation 1/3x+8 = 11
    1. 57
    2. 0
    3. 9
  13. A wheelbarrow was bought at 32000 and sold for sh 28000. Calculate the percentage loss.
    1. 25%
    2. 10%
    3. 20%
    4. 32%
  14. Find the value of X
    14 maths
    1. 153º
    2. 243º
    3. 117º
    4. 217
  15. Find √21/4.
    1. 3/4
    2. 11/2
    3. 23/4
    4. 13/4
  16. A lorry travelled from Isiolo to Karatina 168km away in 4 hours. At what speed was it travelling at?
    1. 24km/h
    2. 42 km/h
    3. 82 kmh
    4. 672 km/h
  17. Work out; 4.75 + 38.407 + 27
    1. 69.482
    2. 43.427 
    3. 42.752
    4. 70.157
  18. What is the sum of the edges and faces of a cube?
    1. 18
    2. 12 
    3. 6
    4. 20
  19. Simplify the expression below;
    11a - 7b + 9b - 8a
    1. 3a + 2b
    2. 3a + 16b
    3. 3a - 2b
    4. 19a + 2b
  20. Convert 600ml to decilitres.
    1. 60dl
    2. 6000 dl
    3. 6 dl
    4. 0.6 dl
  21. What is the area of the shaded part?
    21 maths
    1. 120 cm2 
    2. 240m2
    3. 240cm2
    4. 120m2
  22. Round off 4.857 correct to two decimal places.
    1. 4.80
    2. 4.90
    3. 4.86
    4. 4.84
  23. Work out GCD of 50 and 20 
    1. 20
    2. 5
    3. 10
    4. 100
  24. If 25% represents 150 items. How many items are represented by 60%?
    1. 300
    2. 275
    3. 450
    4. 360
  25. A lesson started at 11.55 am and ended at 12.40 pm the same day. How long was this lesson?
    1. 40 min
    2. 45 min
    3. 35 min
    4. 30 min
  26. Mutua bought;
    2 pks of maize flour @ sh 100
    500g packets of tea leaves for sh 75.00
    2 loaves of bread @ sh 36.00
    He paid the bill with five hundred shillings note. How much was his change?
    1. sh 345
    2. sh 347
    3. sh 153
    4. sh 155
  27. The ages of 6 boys are 13, 15, 16, 14.14 and 12 years. What was the average age of the boys?
    1. 15 years
    2. 12 years
    3. 14 years
    4. 16 years
  28. How many triangles are in the figure below?
    28 maths
    1. 4
    2. 6
    3. 7
  29. Write 45 in Roman numbers,
    1. XXXXV
    2. XLVI
    3. XLV
    4. LXV
  30. Add
       Hrs  min  sec
        8      32   45
    +  6      55   18
    1.  14h 87 min 63s
    2. 14h 28 min 3s
    3. 15h 28 min 38
    4. 16h 28 min 3s
  31.  Add 3/4 +41/2
    1. 52/4
    2. 51/4
    3. 33/4
    4. 31/2
  32. Which of the following numbers is not divisible by 8?
    1. 95238
    2. 102064
    3. 11272
    4. 52632
  33. Find the area of unshaded part in the figure below
    33 maths
    1. 120cm2
    2. 96cm2
    3. 24cm2
    4. 32cm2
  34. What type of angle marked y is shown below?
    34 maths
    1. Obtuse angle
    2. Reflex angle
    3. Acute angle
    4. Right angled
  35. Find the sum of the squares of 5 and 6.
    1. 11
    2. 61
    3. 22
    4. 30
  36. One bell rings after 4 minutes and another after 5 minutes. How long does it take for the two bells to ring together again? 
    1. 9 min
    2. 20 min
    3. 1 hour
    4. 30 min
  37. What is the volume of a cuboid measuring 2m by 3m by 1m in cm3?
    1. 6 cm3
    2. 60000cm3
    3. 600000 cm3
    4. 6000000 cm3
  38. Draw triangle ABC in which AB=6cm, BC=8cm and angle ABC=90º. What is the measure of line AC?
    1. 7 cm
    2. 6 cm
    3. 10 cm
    4. 8cm
  39. Convert 9kg 400g into grams only
    1. 90400 g
    2. 9.4g
    3. 9400g
    4. 0.94g
  40. A farm has an area of 56 hectares. The circle graph shows the plants planted in the farm. How many hectares are under maize?
    40 maths
    1. 7 ha
    2. 14 ha
    3. 28 ha
    4. 16 ha
  41. Write all prime numbers between 20 and 30. 
    1. 21, 23, 29
    2. 23, 27
    3. 27,29
    4. 23, 29
  42. I think of a number X, subtract 11, multiply the result by 4, the answer is 20. What is the number x?
    1. 10
    2. 16
    3. 44
  43. Simplify 4 (4x + 3y) + 2(5x - 2y)
    1. 26x + 8y
    2. 26x +y 
    3. 26x + 10y 
    4. 22x+8y
  44. A helicopter covered a distance of 1800m in 190 seconds. Calculate its speed. 
    1. 18m/s
    2. 180m/s
    3. 1800m/s
    4. 1.8m/s
  45. What is the supplement of 1341/2°
    1. 180°
    2. 441/2°
    3. 46°
    4. 451/2°
  46. 1 cm represents 1 km can be written as 1cm represents cm
    1. 100000
    2. 10000
    3. 1000
    4. 100

Use the following bar graph to answer questions 47-50.
47 maths

  1. On which day was there the highest production of milk?
    1. Monday
    2. Saturday
    3. Wednesday
    4. Sunday
  2. How much milk was obtained on Tuesday?
    1. 10 Litres
    2. 16 Litres
    3. 20 Litres
    4. 12 Litres
  3. How many more litres were obtained on Monday than on Friday?
    1. 16 Litres
    2. 10 Litres
    3. 6 Litres
    4. 26 Litres 
  4. How much milk was produced in the whole week?
    1. 100
    2. 90
    3. 104
    4. 91

MARKING SCHEME

maths marking scheme

Tagged under

QUESTIONS

  1. Which of the following is ten million ten thousand and ten?
    1. 10 010 100 
    2. 10 010 010 
    3. 10 100 010 
    4. 10 001 010
  2. What is the 299.995 rounded off to the nearest two decimal places? 
    1. 299.99 
    2. 299.98 
    3. 300.00
    4. 300
  3. How many days are there between 5th February and 4th April of a leap year? 
    1. 58 
    2. 59 
    3. 60
    4. 61
  4. What is the place value of digit 9 in sum of 428 657 and 368 725? 
    1. Hundred of thousand 
    2. Thousand 
    3. Ten of thousand 
    4. Millions
  5. What is the value of 62 +42 +3 (2+4)?
                                           2 x 7
    1. 14 
    2. 70 
    3. 5
  6. Chebet bought the following items from a shop
    2-2 litre bottles of cooking oil @ 120 per litre
    3kg sugar @ sh. 105
    45kg rice @ sh. 80 5 rolls of tissues for sh. 100
    If she paid using 2 - 1000 shilling note, how much balance did she get? 
    1. Sh.1 255 
    2. Sh.1 655 
    3. Sh.745 
    4. Sh.345
  7. The triangle ABC below is drawn to scale.
    1
    What is the size of angle ACB? 
    1. 550 
    2. 72° 
    3. 108 
    4. 125°
  8. What is the sum of the square of 1% and the square root of 2%? % 
    1. 3% 
    2. 4% 
    3. 24
  9. What is the next number in the sequence? 1, 4, 9, 16, 
    1. 36
    2. 24 
    3. 25 
    4. 27
  10. What is the simplified form of
    3(2x + 3y) + 2(4x + 5y)
    1. 14x + 19 
    2. 12.x + 8y 
    3. 19x + 14y 
    4. 16x + 19y
  11. The table below shows arrival and departure timetable for the train from towns A, B, C and D.
    Town Arrival Departure
               7.30am
    9.15am 9.30am
    C 11.25 am 11.35am
    1.25pm          
    How long did it take the train to travel from town B to town D? 
    1. 4hrs 5 min 
    2. 3hrs 5min 
    3. 4hrs 55min
    4. 3hrs 55min
  12. The area of a square plot of land was 625m?.
    What was twice its perimeter? 
    1. 100m 
    2. 25m
    3. 200m 
    4. 50m
  13. Construct a triangle ABC such that line AB-4cm, BC-5cm and angle BAC = 90°. Draw a circle touching the points ABC.
    What is the radius of the circle? 
    1. 10cm 
    2. 5cm 
    3. 4cm
    4. 6cm
  14. What is the value of
    12/5 ÷ 11/5 + 2½ of 1/3
    1. 2
    2. 11/6
    3. 71/6
    4. 83/6
  15. Salat bought a generator for sh.20 400 after getting a 15% discount. What was the marked price of the generator?
    1. Sh.3060 
    2. Sh.23 460
    3. Sh.17 340 
    4. Sh.24 000
  16. Three streetlights light at an interval of 6min, 8min and 12min. If they all started at 8.00am. At what time did they light again?
    1. 8.36am 
    2. 9.00am 
    3. 8.48am 
    4. 8.24am
  17. A cylindrical container with a radius of 28cm contain water to a height of 50cm. How many litres of water does it hold? 
    1. 123.21 
    2. 12321 
    3. 12321 
    4. 1232001
  18. The fractions 2/3, ¾, 3/8 and 2/5 are to be arranged in order from the smallest to the largest. What is the correct order? 
    1. ¾,2/32/5 , 3/8
    2. 2/33/2/5 ,¾
    3. 3/2/5 ,2/3
    4. 2/5 ,¾, 2/33/8
  19. Which of the following characteristics of quadrilaterals is both for rhombus and square?
    1. Has one pair of parallel lines
    2. Diagonals are equal 
    3. All the angles are right angle. 
    4. Diagonal bisect at right angle.
  20. The table below shows the number of pupils who joined class eight in Kahutha location.
    Year 2016 2017 2018 2019 2020
    No. of pupils 386 425 369 438  398
    Which two consecutive years was the number highest? 
    1. 2019 and 2020 
    2. 2017 and 2018 
    3. 2017 and 2019 
    4. 2016 and 2018
  21. What is 74296 divided by 37?
    1. 2008 
    2. 208 
    3. 28
    4. 280
  22. What is the value of t in the equation
    3/5(10x+15)-10 = 20 ? 
    1. 3% 
    2. 242 
  23. The diagram below shows a net of a solid.
    2
    When folded which solid will be formed
    1. Triangular pyramid 
    2. Triangular prism
    3. Square pyramid 
    4. Square prism
  24. A company hired 18 men to do a job in 24 days. How long did it take if 6 men did not turn up? 
    1. 18 days 
    2. 24 days 
    3. 36 days 
    4. 48 days
  25. Which of the following sets of measurements will form a right angled triangle? 
    1. 5cm, 7cm, 9cm 
    2. 8cm, 15cm, 19cm 
    3. 5cm, 12cm, 13cm 
    4. 10cm, 12cm, 15cm
  26. The mass of an empty pick up is 0.9 tonnes. The pick up was loaded with 20 bales of maize flour each with 12-2kg packed. It is also loaded with 20-50kg bags of rice. What is the mass of the loaded pickup in kg? 
    1. 1480kg 
    2. 1380kg
    3. 1480.9kg 
    4. 2380kg
  27. Ochieng bought a cow at sh.24 000. He later sold it making 18% profit. What was the selling price?
    1. Sh.4 320 
    2. Sh.27 320 
    3. Sh.28 320 
    4. Sh.26 480
  28. Jamal deposited sh.120 000 in a commercial bank that charged simple interest at the rate of 8 percent per annum. How much interest did the money earn after two years? 
    1. Sh.139 200 
    2. Sh.19 200 
    3. Sh.9 600 
    4. Sh.129 600
  29. A public rally was attended by 380 men. The number of women was thrice that of men but half that of children. How many people attended the rally? 
    1. 1 140 
    2. 3 800 
    3. 1 520 
    4. 3 420
  30. The marked price of a TV is sh.24 000. The hire purchase price is 25% more than the marked price. Wambua bought it on hire purchase paying a deposit of sh. 12 000 and the rest in 12 equal monthly instalment. How much is each instalment? 
    1. Sh.1 500 
    2. Sh.2000 
    3. Sh.2 500 
    4. Sh. 1 800
  31. The diagram below shows an isosceles triangle.
    3
    If the perimeter is 36cm what is the area of the triangle? 
    1. 120cm 
    2. 130cm
    3. 60cm
    4. 65cm
  32. Parsaloi read 2/5 of a book on Monday and 1/7 on Tuesday and the rest on Wednesday. What fraction of the book did he read on Wednesday?
    1. 16/35
    2. 8/35
    3. 19/35
    4. 17/35
  33. What is the value of 0.72 + 0.6 - 0.12 ?
                                             0.2
    1. 0.572
    2. 5.72
    3. 0.286 
    4. 28.6
  34. A saleslady earn a basic salary of sh. 15 000. She is also paid 5% commission on all the sales she makes in a month. How much money did she earn in a month she sold good worth sh. 250 000? 
    1. Sh.27 500 
    2. Sh.12 500 
    3. Sh.15 000 
    4. Sh.20 000
  35. A road in a map is drawn to scale 1: 500 000. What is the actual length of the road which is drawn to scale of 6cm? 
    1. 0.3km 
    2. 3km 
    3. 30km 
    4. 300km
  36. Three girls Nancy, Nelly and Nimo contributed a total of sh.325 to buy a gift for their friends. Nancy contributed sh.30 more than Nelly. Nimo contributed sh.25 more than Nancy. If Nancy contributed sh.m, which of the following equation will be used to find the amount Nancy contributed? 
    1. 3m + 55 - 325 
    2. 3m - 5 = 325 
    3. 3m-25 = 325 
    4. 3m + 30 = 325
  37. In a school there were 840 pupils last year. This year the numbedincreased by 25% What is the new population? 
    1. 210 
    2. 1150 
    3. 950 
    4. 1050
  38. The length of a rectangular plotis 240m and the width 160nt. What is the area of the plot in hectares?
    1. 38 400 
    2. 3 840 
    3. 38.4 
    4. 3.84
  39. The mean age of seven pupils is 12. If the age of the first 6 is 8, 10, 11, 18, 16, 8, what is the age of the seventh pupil? 
    1. 12 
    2. 13 
    3. 16 
    4. 10
  40. A motorist covered a distance of 144km in two hours. What was his speed in m/s?
    1. 20m/s 
    2. 40m/s 
    3. 25m/s 
    4. 30m/s
  41. What is the surface area of an open tank of diameter 1.4m and a height of 1.2m in mo? 
    1. 5.28m2
    2. 3.08m2
    3. 6.82m2
    4. 8.36m2
  42. A watch loses 30 second every hour. If it was set right on Monday 8.30am, at what time did it shows on Tuesday 8.30am?! 
    1. 8.18am 
    2. 8.24am 
    3. 8.42am 
    4. 8.36am
  43. The ratio of boys to girls in a school is 3:4 if there are 120 less boys than girls, how many pupils are there in that school? 
    1. 360 
    2. 480 
    3. 840
    4. 660
  44. A rectangular tank measures 0.5m by 0.6m by 0.8m. How many litres of water does it hold when half full? 
    1. 0.24 
    2. 0.12 
    3. 120 
    4. 240
  45. The table below shows how Wangira scored in an exam.
    Subject Math Eng Kis Sci SST
    Score out 39 30 36 42 33
    If this information was put on a pie chart, what angle would represent Maths? 
    1. 96° 
    2. 78° 
    3. 84 
    4. 60°
  46. The table below shows the charges of sending money order.
    Value of order Commission
    Upto 1000 54
    1001 - 2500  86
    2501 - 5000  124
    5001 - 10000 182
    10001 - 20000 246
    Mugambi sent two money orders one worth sh.12 000 and the other worth sh. 7 500. How much money did he pay at the post office? 
    1. Sh.428 
    2. Sh.19 928 
    3. Sh.438 
    4. Sh.20 350
  47. What is the value of 2ab - b
                                       3b
    if a=2 and 6 = 6?
    1. 24 
    2. 18 
    3. 12..
  48. The figure below shows a quarter a circle cut out of square.
    4
    What is the area of the shaded part? 
    1. 616cm 
    2. 784cm 
    3. 168cm 
    4. 154cm
  49. What is 65% as a ratio in its simplest form?
    1. 26:50 
    2. 13:20 
    3. 65:100 
    4. 13:100
  50. The graph below shows the journey taken by Ouma from town P to town Q. A fer covering 60km he rested for one hour then resumed the journey.
    5
    What was his speed after he rest?
    1. 248km/h 
    2. 48km/h 
    3. 36km/h 
    4. 60km/h

MARKING SCHEME

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

QUESTIONS

  1. Which of the following is 3 246 254 in words?
    1. Three million two hundred and forty six thousand, two hundred and fifty four.
    2. Three hundred and forty six thousand, two hundred and fifty four hundred.
    3. Three million two hundred and fifty six thousand two hundred and fifty four.
    4. Thirty two million four hundred and six million four hundred and sixty two thousand and fifty four.
  2. What is 687.879 rounded off to the two decimal place?
    1. 687.87 
    2. 687.88 
    3. 688.00 
    4. 687.00
  3. A family consumes 3-500 ml packets of milk daily. How many litres did they consume in January and February of 2021? 
    1. 87 litres
    2. 90 litres
    3. 88.5 litres
    4. 91.5 litres
  4. What is the place value of digit 4 in the number 364 892?
    1. Ten of thousands
    2. Hundreds of thousands
    3. Hundreds
    4. Thousands
  5. What is the value of 3(42 - 22) - 5 * 6:2?
    1. 21 
    2. 30 
    3. 45
    4. 25
  6. Jasmin bought the following items from a shop.
    3 kg sugar @ sh.115.
    3kg rice @ sh.80
    1½ kg cooking fal for sh.180
    3 packets of milk @ sh.60
    How much did he spend on the items?
    1. Sh 655
    2. Sh 945
    3. Sh 855
    4. Sh 1 035
  7. What is the size of angle ABC on the triangle below?
    7 ugytxA
    1. 104°
    2. 76°
    3. 59°
    4. 52°
  8. What is the square of the number 1²/₃?
    1. ⁵/₃
    2. ²⁵/₉
    3. 2⁷/₉
    4. 4¹/
  9. What is the next number in the sequence
    2, 3, 5, 8, 13,.........?
    1. 20
    2. 19
    3. 23
    4. 21
  10.  What is the simplest form of
    3(x+1)+ 2(x+4)?
    1. 5x + 11
    2. 5x + 5
    3. 6x + 10
    4. 5x + 13
  11. The table below shows the bus time table
    Town  Arrival Time  Departure time 
     A    7:30am
     B  8:45 am  9:00am
     C  11:25am  11:35am
     D  12:40pm  1:00pm
     E  2:25pm  
    How long did the bu.. take form town B to town D.
    1. 3 hrs 55 min
    2. 3 hrs 40 min
    3. 4 hrs
    4. 3 hrs 20 min
  12. The perimeter of a rectangular plot is 240 metre. The length of the plot is 70m long. What is the width of the plot?
    1. 100 m
    2. 140
    3. 50 m 
    4. 55
  13. What is the area of a circle whose diameter is 28 cm?
    1. 2 464 cm²
    2. 616 cm²
    3. 176 cm
    4. 88 cm²
  14. What is the value of ³/₅ ÷ 1²/₅ of ³/₄ ?
    1. ⁴/₇
    2. ²/₃
    3. 1²/₇
    4. ³/₇
  15. The marked price of a cupboard is Sh12 000. Chumo was given 15% discount, how much did he pay?
    1. Sh.13 800
    2. Sh. 1 800
    3. Sh. 10 200
    4. Sh. 18 000
  16. What is the L.C.M of 12, 18 and 27?
    1. 3
    2. 108
    3. 216
    4. 180
  17. A cylindrical container has a radius of 28 cm and a height of 30 cm. What is its capacity in litres?
    1. 73 9201
    2. 739.21
    3. 73.921
    4. 7.3921
  18. The fractions ³/₈, ²/₅ , ⁵/₈ , ¹/₂ are to be arranged from the SMALLEST to the LARGEST. Which one of the following is the CORRECT order?
    1. ⁵/₈, ¹/₂, ²/₅ , ³/₈
    2. ⁵/₈, ³/₈, ²/₅ , ¹/₂
    3. ¹/₂,²/₅ ,³/₈, ⁵/₈
    4. ³/₈, ²/₅ , ¹/₂, ⁵/₈
  19. Which of the following statements is NOT TRUE about a rhombus?
    1. All angles are equal
    2. Diagonals are not equal 
    3. Two pairs of parallel lines
    4. Diagonals bisect at right angles.
  20. The table below shows the amount of milk in litres delivered for six days
    mon  tue  wed  thur  fri  sat 
     36  42  38  29  49 36 
    In which two consecutive days was delivered highest?
    1. Tuesday and Wednesday
    2. Friday and Saturday
    3. Monday and Tuesday
    4. Wednesday and Thursday
  21. Construct a triangle ABC such that line AB=6cm BC= 5.5 cm and angle ABC = 58º
    What is the length of line? 
    1. 8 cm
    2. 4 cm
    3. 5.5 cm
    4. 6.5 cm
  22. What is the value of Y in the equation
    5y +4= 3y +20?
    1. 16
    2. 12 
    3. 4
    4. 8
  23. How many faces and edges do a square pyramid have?
    1. 4 faces 8 edges
    2. 8 faces 5 edges 
    3. 5 faces 8 edges
    4. 8 faces 4 edges
  24. Twelve men can do a job in 15 days. How long would it take 6 men?
    1. 30
    2. 12
    3. 15
    4. 9
  25. Which of the following sets of measurement will form a right angle?
    1. 3 cm, 5 cm, 6 cm
    2. 8 cm 15 cm, 17 cm
    3. 12 cm, 13 cm, 16 cm
    4. 6 cm, 8 cm, 12 cm
  26. An empty carton has a mass of 0.5 kg. The carton is packed with 60 books cach 0.375 kg. What is the mass of such 10 cartons in kg? 
    1. 230 kg
    2. 23 kg 
    3. 22.5 kg
    4. 225 kg
  27. Susan bought a cow at sh 18 000 and later sold it making 20% profit. What was the selling price?
    1. Sh 24 000
    2. Sh 25 200
    3. Sh 16 800
    4. Sh 21 600
  28. The table below shows the amount of milk delivered in one week.
    mon  tue  wed  thur  fri  sat  sun
     68  83  67 73   58  63 83
    What was the modal milk delivery?
    1. 83
    2. 67
    3. 73
    4. 58
  29. Njagi deposited Shs 150 000 in a bank that paid a simple interest at the rate of 5%. How much interest did the money earn after two years? 
    1. Sh 15 000
    2. Sh 165 000
    3. Sh 7 500
    4. Sh 157 500
  30. In a campaign meeting there were 240 men. The number of women was twice the number of men and the number of youths was three times the sum of men and women. How many people attended the prayer rally?
    1. 2 160
    2. 720
    3. 2880
    4. 1 440
  31. The hire purchase price of a T. V is Shs. 28 000. Wanjira paid Shs.4 000 as deposit and the rest in 12 equal monthly instalments. How much was cach instalments? 
    1. Sh 24 000
    2. Sh 3 000
    3. Sh 1 200
    4. Sh 2 000
  32. What is the length of the diagonal of a rectangle whose length is 24 cm and a width of 7 cm?
    1. 26 cm
    2. 28 cm
    3. 25 cm
    4. 19 cm
  33. Work out √0.0169
    1. 0.013 
    2. 0.13
    3. 1.3
    4. 13
  34. A salesman earns a basic salary of 12 000. He is also paid 5% commission on all the sales he makes. In one month he solds goods worth Sh 200 000. How much did he carn in total that month?
    1. Sh 12 000
    2. Sh 13 000
    3. Sh 22 000
    4. Sh 25 000
  35. On a map a distance of 8 km is represented by 4cm. What is the scale used?
    1. 2: 200
    2. 2: 2000
    3. 2: 20 000
    4. 2: 200 000
  36. What is the value of 24 ÷ 3 + 4 x 5 - 8 + 4 x 10+1
    1. 41
    2. 131
    3. 7
  37. Wanjiru bought xoranges while Atieno bought 5 oranges more than Wanjiru. Naliaka bought two times the oranges bought by Atieno. Which of the following expression shows the total number of oranges bought by them?
    1. 3x + 15
    2. 2x + 10
    3. 3x + 10
    4. 4x + 15
  38. What is the area of the triangle below?
    38 suygyhauydad
    1. 120 cm2
    2. 240 cm2
    3. 272 cm2
    4. 136 cm2
  39.  A tank has a volume of 2.08 m. How many litres does it hold when half full?
    1. 2 080 litres
    2. 1 040 liters
    3. 208 litres
    4. 104 liters
  40. What is the sum of G.C.D and L.C.M of 16, 20, 24?
    1. 288
    2. 240
    3. 244
  41. Wanjala spent 1/4 of the salary on food 1/3 on rent, 3/4 of the remainder on school fees and the rest on transport. If the salary is Sh 48 000, how much did he spend on transport?
    1. Sh 24 000 
    2. Sh 12 000 
    3. Sh 5000
    4. Sh 16 000
  42. The area of a square is 2 500 m2. What is the perimeter of the square? 
    1. 200 m
    2. 400 m
    3. 100 m
    4. 300 m
  43. A motorist travelled a distance of 360km in 4 hours. What was the speed in m/s?
    1. 30 m/s
    2. 25 m/s
    3. 15 m/s
    4. 36 m/s
  44. Okong'o bought 3 hens at Sh 650. He sold each at Sh 800. How much profit did he make?
    1. Sh 150
    2. Sh 300
    3. Sh 450
    4. Sh 600
  45. A water tank has a volume of 28 ml. How many litres does it hold?
    1. 280 0001
    2. 28 0001
    3. 2 8001
    4. 2801
  46. A mecting started at 8:30 cm, if the meeting lasted for 6 hrs 25 mins. At what time in 24 hours system did it end?
    1. 1 455hrs
    2. 2:55 pm
    3. 1355 hrs
    4. 3:55 pm
  47. What is the surface area of an open cylinder whose radius is 21 cm and a height of 25 cm.
    1. 1386 cm2
    2. 2772 cm2
    3. 6072 cm2
    4. 4686 cm2
  48. The figure below shows a pattern of the shape?
    48 sygduyahda
    Which of the following is the next shape in the pattern?
    48 a8uhduahudha
  49. The pie chart below shows how Karani spent his salary.
    49 a yydyahdyuhad
    If the salary was Sh 48 000. How much did he spend on savings?
    1. Sh 8 000 
    2. Sh 12 000
    3. Sh 9 600 
    4. Sh 18 400
  50. The graph below shows the journey by Wabati from town A to town B?
    50 uya ydgayda
    What was the average speed for the whole journey?
    1. 15 km/h 
    2. 30 km/h
    3. 120 km/h
    4. 45 km/h

MARKING SCHEME

maths marking scheme

Tagged under

MATHEMATICAL ACTIVITIES

Questions

SECTION A: NUMBERS

  1. A teacher had 48 pencils. He shared them among 8 boys. How many pencils did each boy get? ___________
  2.  A pupil had 5 packets of apples. In each packet there were 6 apples .How many apples were in the packets altogether? _______________
  3.  Share 40 books among 4 boys. Each gets _______________
  4. A farmer bought 421 kg of maize. She gave out 119 kg to a children’s home . How many kilograms was he left with? ______________
  5.  What is the sum of 89 and 98 = __________
  6. Shade an eighth
                   
           
  7. Arrange from the smallest to the largest
    196, 584, 696, 169, 485, 854, 966
    ______________________________________
  8. A sack had two hundred and forty eight cabbages. One hundred and fifty seven cabbages were removed from the sack. How many cabbages remained? ____________
  9. 200 hundred shillings notes = ___________ 50 shillings notes

    Below are prices of some items. Use it to answer the questions below.
    Pencil sh 5
    Exercise book sh 25
    Ruler sh 17
    Sharpener sh 26
  10. Ruth bought 2 rulers and and a sharpener. How much did she spend? ____________
  11. Mary bought 3 Exercise books. How much did she give to the shopkeeper?____________
  12. Tom bought a ruler and a sharpener. He gave the shopkeeper one hundred shillings note.
    What balance did the shopkeeper give to Tom? ____________
  13. What is the cost of all the items in the price list? ________________
  14.  100 
      - 56                 
    _____________
  15.   209
    -156                  
    _____________

  16.   763 
    - 349                 

  17. ¼ of 24 mangoes is _____________ mangoes.
  18. Which one has more?
    ½ of 14 or ¼ of 16
  19. Ruth had 10 apples. She gave ½ of them to her friend Mary. How many apples did Ruth give Mary ? _________________________
    Multiply
  20. 8 x 9 =
  21. 10 x 3 =
  22. 7 x 6 =
  23. 5 + 5 + 5 + 5 = _______× ________ = ________

SECTION B :GEOMETRY

  1. Draw and color a square
  2. Use these shapes to make a pattern
    OT122MathG425

GUIDELINE

  • The learner must show their working.
  • The learner to do the assessment at their own phase.

Marking Scheme

  1. 6
  2. 30
  3. 10
  4. 302
  5. 187
  6.      
  7. 169, 196, 485, 584, 696, 854, 966 
  8. 248 -157 = 91
  9. 4  - 50 shillingnotess
  10. 50
  11. 75
  12. 57
  13. 73
  14. 44
  15. 414
  16. 53
  17. 6
  18. 1/2 of 14
  19. 5
  20. 72
  21. 30
  22. 42
  23. 5x4=20
  24. Student should draw a square
  25. Student should be able to receate a pattern using the shapes

QUESTIONS

  1. Which one of the following numbers is seventy seven thousand seven hundred and seventy seven in figures.
    1. 77,777 
    2. 7,700,070,077
    3. 707,707 
    4. 777,777
  2. The sum of two consecutive numbers is one less than fifty four. What is the greater number.
    1. 27
    2. 25 
    3. 26 
    4. 28
  3. What is 400,002.23 in wards .
    1. Four hundred thousand and two point two three.
    2. Four hundred and twenty three hundredths.
    3. Forty million, two hundred and twenty three.
    4. Four hundred thousand and two, twenty three hundredths
  4. How many groups of 100 are there in the total value of digit 6 in 896423.
    1. 600
    2. 6000
    3. 60
    4. 60000
  5. A square has an area of 3625 m2, find the measurement of one side.
    1. 5/9
    2. 4/5
    3. 81/25 
    4. 145
  6. Work out
    7.5 x 0.25
      0.0125
    1. 15
    2. 1.5
    3. 150
    4. 0.15
  7. Three bells chime at an interval of 8mins, 10mins and 20mins respectively. They rang together at 0012hrs. At what time had they rung again together.
    1. 0052hrs
    2. 00;52pm
    3. 1248hrs
    4. 12:48am
  8. What is the GCD of the numbers 24, 36 and 60
    1. 12
    2. 6
    3. 24
    4. 360
  9. By striding 90cm, 80cm or even 72cm. Atema takes exact number of steps to cross a road. Find the least width of the road in metres.
    1. 720
    2. 3.6
    3. 360
    4. 7.2
  10. Which fraction below is the smallest.
    1. 3/4
    2. 5/8 
    3. 2/3 
    4. 5/6
  11. Osebe spent half of his salary on rent and 1⁄3 of the remainder on food. If he save sh. 6000, how much was his salary.
    1. Sh. 3600
    2. Sh. 18000
    3. Sh. 12000
    4. Sh. 15000
  12. The population of Lupe area increased from 40,000 to 56,000. What was the percentage increase.
    1. 40
    2. 2847
    3. 140
    4. 60
  13. What is 4093.8297 rounded off to the nearest hundredths.
    1. 4093 
    2. 4093.83
    3. 4093.830 
    4. 4093.000
  14. What is 87 rounded off to the nearest ten.
    1. 1000
    2. 100
    3. 9 0
    4. 10000
  15. Floras salary decreased from shs. 12,500 to Shs. 10,500. What was her percentage decrease?
    1. 19% 
    2. 16% 
    3. 119% 
    4. 84%
  16. Write down the sixth number in the series below.
    0.2, 0.3 0.5, 0.7, _____
    1. 1.1 
    2. 0.9 
    3. 1.3
  17. What is the perimeter of the figure below.
    17 auyygduya
    1. 144M
    2. 88M
    3. 176M
    4. 132M
  18. If a farmer fenced the plot below using 3 strands of wire, what length does he require?
    18 uguys
    1. 66m 
    2. 42m
    3. 198m
    4. 756m
  19. A wheel covers a distance of 88m after making 100 revolution . What is the radius of the wheel?
    1. 0.28m 
    2. 2.8m 
    3. 0.14m 
    4. 14m
  20. The radius of a wheel is 14cm. How many kilometres will it travel if it turns 1000 revolution.
    1. 0.88km 
    2. 0.088km
    3. 8.8km 
    4. 880km
  21. Sixty one electrical poles are fixed at an equal distance of 35m, what distance does Shikuku cover if he runs from the first to the last and back.
    1. 4202M 
    2. 2100M
    3. 4200M 
    4. 2101M
  22. The figure below represents Oboy’s plot of land. If he fenced the plot at an interval of 2m. How many poles are needed.
    22 ajbdua
    1. 420
    2. 210
    3. 211
    4. 421
  23. What is the area of the figure below in M2 (π 3.14)
    23 augdya
    1. 56m2
    2. 39 ½ m2
    3. 39 ¼
    4. 95. 25m2
  24. What is the area of the figure below in HM2 (Hectometre).
    24 auguydga
    1. 6HM2
    2. 0.38HM2
    3. 3800HM2
    4. 38HM2
  25. The diagram below represents Aziz’s shamba. What is the size of Aziz shamba in hactares.
    25 aygdya
    1. 3456
    2. 0.36
    3. 0.3456 
    4. 1728
  26. Find the total surface area of the wedge below.
    26 augda
    1. 336cm2
    2. 288cm2
    3. 360cm2
    4. 384cm2
  27. What is the total surface area of the solid shape below.
    27 ayhdya
    1. 368.5m2
    2. 210m2
    3. 578m2
    4. 621.5m2
  28. What is the curved surface area of a cylinder of radius 7cm and height of 22cm.
    1. 1276cm2
    2. 698m2
    3. 308cm2
    4. 968cm2
  29. A tank is 2/5 full of water, after 270L have been drawn off it becomes 1/7 full. Find the capacity of the tank.
    1. 675
    2. 189 
    3. 1050
    4. 1000
  30. If the stack below was dipped in Red dye how many cubes would be painted on 3 faces only _
    30 auhuda
    1. 4
    2. 36 
    3. 9
  31. A van’s mass is 2.8t when empty. It weighs 5t when loaded with 50kg bags of maize. How many bags of maize were loaded.
    1. 100 bags 
    2. 1000 bags
    3. 440 bags 
    4. 44 bags
  32. Soda bottles are packed in a crate. How many such crates are needed to pack 718 bottles.
    1. 28
    2. 29
    3. 30 
    4. 31
  33. Find the percentage profit on an item which is bought for sh. 800 and sold for 980.
    1. 8849%
    2. 10%
    3. 181849%
    4. 2212%
  34. Njeri a business lady is paid shs. 500 for a blouse after getting a discount of shs. 100. What was the percentage discount.
    1. 1623
    2. 20%
    3. 25%
    4. 500%
  35. Sammy is paid a commission of 11% on the value of goods sold. In a month he sold goods worth shs. 180,000. How much did he get?
    1. Shs. 19500
    2. Shs. 160200
    3. Shs. 140000 
    4. Shs. 1800
  36. The marked price of an ink jet is Shs. 7000. Ongwae paid a deposit of Kshs. 1300 and 10 monthly instalment of shs. 600. What was the hire purchase?
    1. Shs. 7200 
    2. Shs. 9100
    3. Shs. 14300 
    4. Shs. 7300
  37. Tsisika deposited Shs. 5000 in a bank which paid simple interest of the rate of 12% P.a. After one year, she closed the account. How much money did she withdraw?
    1. Sh. 11200 
    2. Sh. 600
    3. Sh. 5600
    4. Sh. 4400
  38. A watch loses 5 seconds every one hour. If it was set right on Wednesday at 10;30am. What time will it show the following Wednesday at 10.30am.
    1. 10.44am
    2. 10.16am
    3. 10.14pm
    4. 10.14am
  39. An athletee took 20 seconds to run a 200m race, what was his average speed in kilometres per hour.
    1. 10kh/hr 
    2. 36km/hr
    3. 24km/hr 
    4. 8km/hr
  40. If a thermometer reading of a frozen mass of ice is -9ºC and is warmed to 19ºC. calculate the rice in temperature.
    1. 28ºC
    2. 10ºC 
    3. -10ºC
    4. -28ºC
  41. Draw a triangle XYZ in which XY=YZ=6cm and angle YXZ = 600. Draw a circle that passes through the three vertices X, Y and Z. What is twice its radius.
    1. 3.5cm 
    2. 7cm
    3. 14cm
    4. 1.8cm
  42. Construct a triangle ABC such that AB=BC=6cm and angle ABC = 80º. Draw aperpendicular line from B to meet AC at point X. drop another perpendicular line from C to meet BX at Y. What is the size of angle BYC.
    1. 40º 
    2. 50º 
    3. 80º 
    4. 130º
  43. Juma used a ladder to paint the top of the wall. He placed the bottom of the ladder 0.5m away from the wall. The ladder touched the wall at a height of 1.2m. what was the length of the ladder.
    1. 1.3m 
    2. 13m 
    3. 0.7m 
    4. 3m
  44. What is the sum of the vertices and edges of the triangular prism.
    1. 11 
    2. 12 
    3. 16
    4. 15
  45. Simplify the algebraic expression.
    2(2a+b) -3(a-b+3)
    1. A-b-9
    2. 7a+5b+9
    3. a+5b-9
    4. a-b-9
  46. What is the value of X in the equation 5x – 2(x+1) = 4
    1. 2⁄3 
    2. -2
  47. Peris is twice as old as Jane. Their total age is 21 years. How old was Peris 5 years ago.
    1. 14 yrs 
    2. 9 yrs
    3. 7 yrs
    4. 2 yrs
  48. On a map a rectangular piece of land measures 8cm by 6cm. If the scale used on the map is 1:1000. Find the actual area of the plot in heactares.
    1. 4.8ha 
    2. 48ha 
    3. 0.48ha 
    4. 480ha
  49. Increase 720 in the ratio 5:3.
    1. 1200 
    2. 450 
    3. 3600 
    4. 2160
  50. Thirty men can do a job in 5 hours. How many less men can do the same job in 15 hours.
    1. 10 
    2. 20 
    3. 25 
    4. 5

MARKING SCHEME

maths ms

  1. Write seventy million seven hundred and seven thousand and seventy in symbols.
    1. 70707070
    2. 7070707
    3. 70770070
    4. 70707007
  2. What is the total value of digit three in 57348912?
    1. 30000
    2. Three thousand
    3. 3000000
    4. 300000
  3. What is the sum of 16570 and 3102 to the nearest thousands?
    1. 19672
    2. 20000
    3. 19000
    4. 19700
  4. What is the place value of digit 8 in 19.7836?
    1. Hundredths
    2. Tens
    3. Hundreds
    4. Thousandths
  5. A square flower garden has an area of 1296m2. What is the length of one side of the square garden?
    1. 36 m
    2. 63m
    3. 314
    4. 144 
  6. What is the place value of digit 2 in  132816?
    1. Thousandths
    2. Hundred
    3. Hundredths
    4. Thousands
  7. Which of the following numbers is divisible by 8?
    1. 88176
    2. 17382
    3. 65456
    4. 84234
  8. What is the square root of 54/9?
    1. 21/3
    2. 2952/81
    3. 49/9
    4. 209 52/181 
  9. Which one shows the area of a square room measuring 8m by 8m?
    1. 62m2 
    2. 32m2 
    3. 64m2 
    4. 16m2
  10. Work out 10.32-9.79 + 0.175 and round off your answer to the nearest tenths
    1. 0.705
    2. 0.7
    3. 0.71
    4. 0.8
  11. What is the reciprocal of 52/3
    1. 17/3
    2. 10/3
    3. 3/17
    4. 3/10
  12. A total of eight hundred and sixty five pupils participated in a harambee to raise money for physically challenged pupils. If each pupil contributed three hundred and fifty shillings, how much money in total was raised?
    1. 1215
    2. 300650
    3. 292750
    4. 302750
  13. Mwaniki got 35% in a test. What was his mark in fraction, in the simplest form?
    1. 35/100 
    2. 7/20
    3. 5/20
    4. 0.35
  14. The area of the square drawn is 51/16m2.What is the measure of one of its sides?
    1
    1. 9/16m
    2. 3¼m
    3. 2¼m
    4. 9m
  15. Convert 0.84 to fraction in its simplest form.
    1. 21/25
    2. 42/50
    3. 84/1000
    4. 84/100
  16. The population of a certain town in a country is four million three hundred and fifty thousand. The population of the second town is two million seven hundred and seventy six. What is the population of the two towns in total?
    1. 7126000
    2. 6350776
    3. 7050076
    4. 6050076
  17. Work out: 60 ÷ 12/3
    1. 100
    2. 24
    3. 150
    4. 36
  18. Find the quotient of 2.25 and 0.25
    1. 0.9
    2. 9
    3. 11
    4. 0.09
  19. Divide 24 by 1/6
    1. 4
    2. 1000
    3. 10000
    4. 144
  20. A motorist left town A at 11.15 pm. It took 3hrs and 55 minutes to reach town B. At what time in 24 hour clock system did he reach town B?
    1. 1510 hr
    2. 0310 hr
    3. 1500 hr
    4. 1410 hr
  21. Work out: l    dl   ml
                   65    8   17
                    x           7
    1. 455l 56dl 119ml
    2. 450l 60d1 19ml
    3. 460l 7dl 119ml
    4. 461l 17dl 19ml
  22. A car left Nyeri town at 8 am for another town a distance of 360 km away. What was the speed in kn/hr if it arrived at that town at 11 amn?
    1. 11 km/h
    2. 90 km/h
    3. 150 km/hr
    4. 120 km/hr
  23. Mama Eva went shopping and bought the following items 2 blouses @ sh 240, I dress for sh 770, 3 jackets @ 450.50,5 blankets for sh 2000. What was her total bill?
    1. 4601.50
    2. 2100.50
    3. 57000.50
    4. 3600.50
  24. A flower measures 3 m long and 1 m wide. What is its area in square metres?
    1. 5½m2
    2. 18m2
    3. 6m2
    4. 41/7m2
  25. Work out: 3.456 ÷ 16
    1. 2.16
    2. 20.6
    3. 216
    4. 0.216
  26. The line below drawn to scale is the distance between towns A and B. If the scale used is 1 cm represents 10 m, what is the actual distance from town A and B in metres?
    5
    1. 4.2 m
    2. 42 m
    3. 4200 mm
    4. 420 m
  27. Work out: 9√177L 8dl 31 ml
    1. 109L 70dl 60ml
    2. 91L 7dl 59ml
    3. 1L 170dl 59ml
    4. 19L 7dl  59ml
  28. What is the product of 67.84 and 5.25?
    1. 35,616
    2. 356.16
    3. 3.5616
    4. 0.35616
  29. What is the next number in the sequence below 168, 84, 42
    1. 48
    2. 10
    3. 11
    4. 21
  30. What is the quotient of 11¼ and 1¼?
    1. 9
    2. 101/5
    3. 141/16
    4. 25
  31. A radio is bought at sh 3950 and sold for sh 3310. Calculate the loss
    1. sh 7260
    2. sh 840
    3. sh 640
    4. sh 1640
  32. Remove the brackets and simplify.
    15(4e - 3c + 2e + e)
    1. 4e
    2. 60e - 45e + 30e + 15e
    3. 60e
    4. 45e
  33. Which of the following numbers is divisible by 2, 5 and 10?
    1. 909183
    2. 5567128
    3. 41286
    4. 593860
  34. David had m of wire. He tied up bundles of sticks which required m of wire each. How many bundles of sticks did he tie?
    1. 3/32
    2. 6
    3. 1/6
    4. 32/3
  35. What is 0.06 x 0.07
    1. 0.00042
    2. 4200
    3. 0.0042
    4. 0.042
  36. What is 645x 720 ?
    1. 453400
    2. 46440 
    3. 464400 
    4. 46340
  37. Find the length of the rectangle.
    2
    1. 9 cm
    2. 36m
    3. 18 cm
    4. 5 cm
  38. What is the reciprocal of 45/6
    1. 6/29
    2. 64/5
    3. 29/6
    4. 46/5
  39. What is the value of 2546328 + 9568 + 627852 ? 
    1. 3183748 
    2. 3713748 
    3. 317348 
    4. 2173648 
  40. Fill in the blank spaces marked (i), (ii) and (iii) respectively.
    3
    1. 3, 24
    2. 24, 8, 4
    3. 2, 3, 4
    4. 3, 3, 4
  41. Find the value of √576
    1. 18
    2. 24
    3. 26
    4. 16
  42. Simplify 2x + 6y + 4x - 2y
    1. 6r - 4
    2. 6x + 6y
    3. 6x + 4y
    4. 6x + 8y
  43. Grace had 160 mangoes 40 of them were ripe. What percentage of mangoes was ripc?
    1. 120%
    2. 25%
    3. 200%
    4. 75%
  44. Arrange the following from the smallest to the largest 1/3, ½, 1/10 and 1/5
    1. 1/3, ½, 1/10,1/5
    2. 1/10,1/1/3, ½
    3. 1/10,1/31/, ½ 
    4. ½, 1/1/31/10
  45. Convert 20 m/s to km/hr
    1. 60 km/hr
    2. 120 km/hr
    3. 90 km/hr
    4. 72 km/hr
  46. Multiply 3t 250kg by 5.
    1. 16t 250kg
    2. 16t 1250kg
    3. 151 1250kg
    4. 10t 250g
  47. Work out: dl       ml
                    16      70
                  +29      40
    1. 14dl 10ml
    2. 46dl 10ml
    3. 45dl 10ml
    4. 46dl 110ml
  48. Ocampo had a rectangular piece of land measuring 20¼ cm and 151/3 cm. Calculate its perimeter.
    1. 737/12 km 
    2. 40½ km
    3. 367/12 km
    4. 711/6 km
  49. Work out 34/18 + 111/24 + 27/8
    1. 711/18
    2. 624/18
    3. 611/18
    4. 729/18
  50. Which of the following triangle is a scalene
    4

MARKING SCHEME

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

MATHEMATICS
GRADE 5
END OF TERM 3

Questions

  1. What is the place value of digit 5 in the number 749519?(2 marks)
  2. What is 60339 in words? ( 2 marks)
  3. Work out ( 2 marks)
    1.  749
      x 69
      ____
    2.  18√936
  4.  A cyclist covered 624km from his home to town. Convert the distance into metres ( 2 marks)
  5. Find the width of the figure below ( 2 marks)
    mtet322g5q5
  6. Work out 23.652m + 72.12m ( 2 marks)
  7. Fill in the table below ( 4 marks)
      Length Width Height Volume
    a 7cm 6cm   210cm3
    b  9cm 4cm 3cm  
  8. Work out ( 4 marks)
    1.   L      ml
       25    605
      -12    532
      ________

    2.  L       ml
       40   554
         x       5
      _______
  9. A meeting took 960 seconds. How many minutes did the meeting take? ( 2 marks)
  10. Mwikali bought 25000 grams of ripe bananas. How many kilograms did she buy? ( 2 marks)
  11. How many cubes are in the stack below? ( 2 marks)
    mtet322g5q11
  12. If I want to measure a distance of 39m using a 1m rode, how many strokes will I make?( 2 marks)
  13. What is the difference between 27 minutes 16 seconds and 21 minutes 43 seconds? ( 2 marks)
  14. Work out ( 2 marks)
    1.  minutes    seconds
            37            57
         + 18            44      
      ________________
    2. 9√58 mins 39 seconds
  15. How many 100g sachets of downy can balance a 1kg mass? ( 2 marks)
  16. Arrange the numbers on the card from the largest to the smallest ( 2 marks)
    mtet322g5q16
  17. Jesse measured different items and recorded them down. Which of the following were units of masses by Jesse? 
    0.45, 1m, 51, 45g, 50kg, 30km
  18. A square tile has a length of 30cm. What is the area of 3 such tiles? ( 2 marks)
  19. Work out the following ( 3 marks)
    1. 3/4 - 7/12 
    2. 11/12 - 1/3
    3. 10/12 - 1/4
  20. Fill in the missing number ( 4 marks)
    1.  1/2 = ?/4 = 3/?
    2. 3/? = ?/16 = 9/12

Marking Scheme

  1. Hundreds
  2. Sixty thousand, three hundred and thirty nine.
  3.      
    1. 51681
    2. 52
  4. 624000m
  5. Width 9cm
  6. 95.772
  7.      
    1. 5 cm
    2. 108 cm
  8.             
    1. 13 L 73ml
    2. 202l 770 ml
  9. 16 minutes
  10. 25 kg
  11. 45 cubes
  12. 39 strokes
  13. 5 min 33 sec
  14.           
    1. 56 min 41 sec
    2. 6 mins 31 sec
  15. 10 sockets
  16. 0.702, 0.542, 0.452, 0.352, 0.152
  17. 45g 50kg
  18. 2700cm3
  19.                     
    1. 1/6
    2. 7/12
    3. 9/12
  20.                  
    1. 1/2 = 2/4 = 3/6
    2. 3/4 = 12/16= 9/12     

QUESTIONS

  1. Which one of the following is, three hundred and ten thousand and ten in symbols?
    1. 310110
    2. 310100
    3. 301010
    4. 310010
  2. What is the place walue of digit 5 in the number 6459208?
    1. Ten thousand
    2. Hundred thousands
    3. Thousands
    4. Hundreds
  3. Round off 989568 to the nearest thousands.
    1. 980000
    2. 989000
    3. 990000
    4. 989600
  4. Work out: 10064 - 1999
    1. 9065
    2. 8065
    3. 1065
    4. 10065
  5. Work out: 32 - 57 + 36 =
    1. 61
    2. 53
    3. 11
    4. 21
  6. Find tile perimeter of the figure below.
    1
    1. 30cm
    2. 60cm
    3. 216cm
  7. What is the total value of digit 4 in the number 64295?
    1. Four thousand
    2. Thousands
    3. 40 000
    4. 400
  8. The distance from Kanyi's home to school is 2.5km. How many kilometres does he cover in 3 days if he goes to school in the morning and return home in the evening?
    1. 5km
    2. 7.5krn
    3. 30km
    4. 15km
  9. What is the measure of angle marked t in the figure below?
    2
    1. 110º
    2. 55º
    3. 125°
    4. 1401º
  10. Change 5km 2m into cm
    1. 500200
    2. 50020
    3. 50200
    4. 502000
  11. How many 125kg are there in 8.5tonnes of sugar?
    1. 680
    2. 6.8
    3. 68
    4. 14
  12. 422 pupils contributed money to buy school bus. Each pupil contributed sh 27027. How much was contributed together for the buying of the school bus?
    1. Sh 1145394
    2. Sh 27449
    3. Sh 11405394
  13. Find the area of the shaded part of the figure below
    3
    1. 384cm2
    2. 192cm2
    3. 80cm2
    4. 160cm
  14. Convert 405/100 into decimals
    1. 4.5
    2. 40.5
    3. 0.405
    4. 4.05
  15. How many hours are there in three days
    1. 36hrs
    2. 54hrs
    3. 72hrs
    4. 68hrs
  16. What is the next number in the pattern be low?
    4, 9, 25, 49,
    1. 121
    2. 81
    3. 64
    4. 16
  17. The area of the square below is 324m.
    4
    Find its perimeter. 
    1. 81m
    2. 36m
    3. 72m
    4. 18rn
  18. Work out:
    Km    m     cm
     17     4      14
    - 5    896    75
    1. 11km 791m 39cm
    2. 12km 691m 61cm
    3. 11km 729rn 39cm
  19. Kadogo had 5¼ kg of rice. She gave 1¾ kg to her sister and cooked ¾ kg. How much rice remained?
    1. 2¼ 
    2. 3¼ 
    3. 2¾ 
  20. A teacher had sh 2662. Which she shared equally among 3 students. How much remained after shring?
    1. Sh 10
    2. Sh 1
    3. Sh 204
    4. Sh 24
  21. Which one of the fo[lowing is a prime factor of 68?
    1. 2 x 2 x 3 x 7
    2. 2 x 2 x 7
    3. 2 x 2 x 17
    4. 2 x 2 x 17 x 17
  22. What is the size of the angle marked VV in the figure below?
    5
    1. 45º
    2. 90º
    3. 135º
    4. 60º
  23. Find the perimeter of the figure below in cm.
    6
    1. 38
    2. 3800
  24. Which one of the following statements is true about the equilateral triangle?
    1. Two sides are equal
    2. The largest angle is right angle
    3. There are two equal base angles
    4. Each interior angle is 60º
  25. Work out: 
    3½ ÷ 7/8
    1. ¼
    2. 4
    3. 31/16
    4. 7/16
  26. Find the difference of the square of 4 and square root of 81.
    1. 7
    2. 25
    3. 77
    4. 65
  27. What is (3¾)2
    1. 99/16149/16
    2. 141/16
    3. 191/16 
  28. In a construction company each worker is paid sh 450. How much did 217 workers get altogether?
    1. Sh97 650
    2. Sh96 550
    3. Sh87 650
    4. Sh97 540
  29. What is the volume of the box below?
    7
    1. 1386cm
    2. 693cm3
    3. 1368cm3
    4. 1286cm3
  30. How many Ares are there in 4.5 hectares?
    1. 450 Ares
    2. 4500 Ares
    3. 45 000 Ares
    4. 45 Ares
  31. Which one of the following statements is true?
    1. 0.033 > 0.303
    2. ¾> 0.75
    3. 0.44 = 11/25
    4. ½ < 1/3
  32. Jane bought a goat for sh 6450 and Later sold it for sh 5050. How much loss did she make?
    1. Sh 10140
    2. Sh 11 500
    3. Sh 1 400
    4. Sh 1 450
  33. Name. the angle marked W in the figure below.
    8
    1. Obtuse angle
    2. Reflex angle
    3. Acute angle
    4. Right angle
  34. Add: 29 + 20 and give your answer in roman numbers.
    1. XXXXIX
    2. XLIX
    3. XLXI
    4. LXIX
  35. What is the reciprocal of 0.8?
    1. 8/10
    2. 4/5
    3. 1/8
  36. Work out:
    6845 + 9528 + 895
    1. 18278
    2. 17158
    3. 17286
    4. 17268
  37. Arrange the fractions 2/5 , ½ , ¾ , 2/3 and from the smallest to the largest.
    1. 2/5 , ½ , 2/, ¾
    2. ¾, 2/, ½ ,  2/
    3. ½ , 2/, ¾, 2/
    4. ¾, 2/5 , 2/½ 
  38. Joyce mixed 2¾ of water and if L of juice. How many litres of mixture did she get?
  39. How many nights are there in one week?
    1. 7
    2. 8
    3. 5
    4. 6
  40. Kamau wrote the following number on a card: 13, 11, 7, 5, 3, 2
    What type of number are they?
    1. Odd numbers
    2. Even numbers
    3. Factors over 50
    4. Prime numbers
  41. What is 25% of sh 1200?
    1. Sh 300
    2. Sh 900
    3. Sh 240
    4. Sh 960
  42. Round off 42.8956 to the nearest two derimal places
    1. 42.89
    2. 42.90
    3. 42.99
    4. 43.00
  43. What is the circumference of the circle below? (Take π = 22/7)
    9
    1. 66cm
    2. 132cm
    3. 0.33cm
    4. 99crn
  44. What is the GOD of 36 and 54?
    1. 9
    2. 108
    3. 18
    4. 6
  45. Which one of the following number is divisible by 9?
    1. 6052
    2. 696
    3. 2889
    4. 8868
  46. Subtract 16 - 65/16 
    1. 1011/16
    2. 911/16 
    3. 105/16 
    4. 95/16
  47. A motorist travelled a distance of 270krti in 3 hours. What was the speed in km/hr?
    1. 90 km/h
    2. 78 km/h
    3. 810 km/h
    4. 80 km/h
  48. How many cubes make the stuck below?
    10
    1. 84
    2. 140
    3. 114
    4. 112
  49. The perimeter of the rectangle below is 76m. The length is 23m. Find its width
    12 
    1. 30m
    2. 7m
    3. 8m
    4. 15m
  50. The graph below shows the number of fruits sold in mama Ken's kiosk in two days.
    11
    How many fruits were sold altogether in the two days?
    1. 185
    2. 195
    3. 200
    4. 210

MARKING SCHEME

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

QUESTIONS

  1. Which of the following number is eleven million eleven thousand one hundred and one in symbols?
    1. 11 011 011 
    2. 11 110 101
    3. 11 011 101 
    4. 11 101 101
  2. What is the total value of digit 6 in the number 23. 7568?
    1. 0.06
    2.    6   
      1000
    3. Thousands
    4. Six ten thousands
  3. Round off 9.9974 to the nearest hundredths
    1. 10.00
    2. 9.99
    3. 10
    4. 9.997
  4. The perimeter of the square below is 216cm. Find its area.
    4 agduyad
    1. 54cm2
    2. 270cm2
    3. 46656cm2
    4. 2916cm2
  5. Find the sum of the next two numbers in the pattern.
    3, 5, 8, 13, 20, .... , .....
    1. 69
    2. 31
    3. 44
    4. 75
  6. What is the least number that can be added to 8673 to make it divisible by 11?
    1. 6
    2. 5
    3. 9
    4. 4
  7. Work out: 7 uyy uygdq
    1. 20
    2. 16
    3. 25
    4. 200
  8. Arrange the fractions 5/6, 3/4, 7/8 and 9/11 from the largest to the smallest. 
    1. 3/4,9/11,5/6, 7/8
    2.  7/8,5/6,9/11,3/4
    3. 3/4,5/6,7/8,9/11,
    4. 9/11,7/8,5/6,3/4
  9. Work out 14.57 + 8.769 +2.8562 and give your answer to two decimal places.
    1. 26.1952
    2. 26.19
    3. 26.20
    4. 26.2
  10. Convert 22½%  into decimals
    1. 22.5
    2. 0.0225
    3. 0.45
    4. 0.225
  11. Find the sum of GCD and LCM of 16, 24 and 32.
    1. 96
    2. 104 
    3. 108
    4. 144
  12. Find the square root of 111/9
    1. 31/3
    2. 110/3
    3. 3/10
    4. 31/9
  13.  Alice sold a bicycle for sh 7600 making a loss of 20%. How much loss did she make?
    1. Sh 9 500
    2. Sh 1 520
    3. Sh 1 900
    4. Sh 1 420
  14. What is the circumference of the figure below?
    14 ahgduya
    1. 44cm
    2. 100cm
    3. 22cm
    4. 78cm
  15. Find the sum of all faces, edges and vertices of an open cuboid.
    1. 26
    2. 24
    3. 25
    4. 14
  16. Work out: 111/4 + 201/4 + 14/5.
    1. 221/4
    2. 221/2
    3. 171/2
    4. 111/4
  17. A shopkeeper packed 451/2kg of sugar into half kilogram packet. How many packets did he obtain?
    1. 90
    2. 46
    3. 23
    4. 91
  18. Find the area of the triangle below.
    16 a8ygdya
    1. 130 cm2
    2. 240 cm2
    3. 120 cm2
    4. 260 cm2
  19. Work out: √(0.36x1.44) 
    1. 0.072
    2. 0.6
    3. 0.72
    4. 1.2
  20. After an increase of 30%, Mathai's salary became sh 32 240. What was the salary before the increase?
    1. Sh 22 568
    2. Sh 24 800
    3. Sh 28 240
    4. Sh 41 912
  21. Nana is thrice the age of Leah, their sum age is 64 years. How old is Leah?
    1. 16
    2. 48
    3. 15
    4. 24
  22. Work Out 1.08 x 0.32
                    0.048 x 3.6
    1. 0.2
    2. 2
    3. 20
    4. 0.02
  23. Rudisha went round the field drawn below 6 times. What distance in kilometres did he cover
    23 ajgduya
    1. 420
    2. 2.52
    3. 4.2
    4. 3.36
  24. The scale of a map is 1:400000. What length would represent 16km
    1. 40cm
    2. 4cm
    3. 0.4cm
    4. 8cm
  25. How many group of hundreds are there in the total value of digit 7 in 476935?
    1. 70
    2. 700
    3. 7000
    4. 70000
  26. Which set of measurements below will not form a right-angled triangle?
    1. 1.2cm, 1.6cm, 2.0cm
    2. 5cm, 12cm, 13cm
    3. 3cm, 6cm, 8cm
    4. 3cm, 7.2cm, 7.8cm
  27. Which one of the following statements is not correct?
    1. 1/4 >0.25%
    2. 0.66 < 2/3
    3. 12.5% = 1/8
    4. 0.5<1/2
  28. Simplify 2(3a + 5) +3 (a -3)
    1. 3a + 19
    2. 9a +8
    3. 9a + 1
    4. 9a + 2
  29. Kamau borrowed sh 7200 from a bank that charged simple interest at a rate of 15% p.a. How much did he pay to the bank altogether after 8 months? 
    1. Sh 720
    2. Sh 7 920
    3. Sh 8 820
    4. Sh 8 280
  30. Find angle ABC in the figure below.
    30 auyyguya
    1. 40°
    2. 60°
    3. 50°
    4. 70°
  31. Find the value of x in 2x + 3 = x + 8
    1. 5
    2. 11
    3. 3
    4. 12/3
  32. Simplify 12 <2m +4
    1. M<4
    2. m> 4
    3. M<2
    4. M <8
  33. Construct an isosceles triangle XYZ such that YZ = 8cm and angle XYZ = YZX = 45°, what is the length of line XZ?
    1. 6.1 cm
    2. 5.6 cm
    3. 6.5cm
    4. 5.0cm
  34. Kennedy paid sh 8550 for a bicycle after he was allowed a discount of sh 450. What percentage discount was he offered?
    1. 5%
    2. 10%
    3. 7.5%
    4. 5.26%
  35. A cyclist covered a distance of 108km in 3 hours. What was the speed in m/s? 
    1. 36m/s 
    2. 129.6 m/s 
    3. 10 m/s
    4. 90 m/s
  36. What is the value of angle p in the following diagram
    Std 7 maths 36 
    1. 115º
    2. 130º
    3. 65º
    4. 180°
  37. 2.5 tonnes of tea leaves were packed into 500g packets. How many packets were obtained altogether?
    1. 50000
    2. 5000
    3. 2500
    4. 500
  38. Calculate the area of the unshaded part in the figure below.
    38 aygduya
    1. 952cm2
    2. 1280cm2
    3. 328cm2
    4.  272cm2
  39.  What is the complement of 372/3º?
    1. 531/3º
    2. 521/3º
    3. 1431/3º
    4. 1421/3º
  40. Kasim did six science tests and scored as follows 48%, 68%, 56%, 80%, 86% and 76%. What was his mean score?
    1. 76%
    2. 59%
    3. 68%
    4. 69%
  41. Convert 31/2 days into minutes
    1. 84
    2. 5040
    3. 210 
    4. 12600
  42. Jane bought the following items from a shop:
    2kg of sugar @sh 120
    2 loaves of bread at sh 50
    11/2 kg of salt at 40
    31/2 kg packets of maize flour for 210
    How much did she pay for the items?
    1. Sh 610
    2. Sh 820
    3. Sh 1030
    4. Sh 590
  43. What is the surface area of the solid drawn below?
    43 agduyad
    1. 3080cm2
    2. 880cm2
    3. 1034cm2
    4. 1188cm2
  44. In a school there are 360 pupils 2/5 of the pupils are girls. How many boys are there? 
    1. 144
    2. 216
    3. 72
    4. 288
  45. Three bells are set to ring at intervals of 20 min, 30 and 40 min. The bells rang first at 8:00 am. When will they ring together next?
    1. 9:20 am 
    2. 10:30 am 
    3. 10:00 am
    4. 9:30 am
  46. The price of a dress was sh1 500. If it was reduced by 20%. What was the new price of the dress? 
    1. Sh 1,800
    2. Sh 800
    3. Sh 1,440
    4. Sh 1,200
  47. A pupil folded a wire to make the shape shown below. What was the length of the wire?
    47 aiygdya
    1. 44cm
    2. 58cm
    3. 72cm
    4. 116cm
  48.  A family consumes two-5di packets of milk daily. How many litres did the family consume in the first three months of 2019?
    1. 450
    2. 45
    3. 900
    4. 90
  49. What is the measure of the angle marked W in the figure below?
    49 auygda
    1. 130° 
    2. 50°
    3. 180°
    4. 70°
  50. The graph below shows the journey of a motorist from home to the town a distance of 60km.
    50 suygauygda
    How far from town was he at 9:45am?
    1. 40km
    2. 60km
    3. 20km
    4. 30km

MARKING SCHEME

maths

Tagged under
  1. Write the number 10101 in words. ________________________________________________________
  2. The total number of people who attended a church service were 840653. What is the place value of digit 4 in the number of people? _________________________________________________
  3. Arrange the following numbers in ascending order.
    3954, 5900, 6451, 3593,4956.
    ________________________________________________________
  4. Round off 6345 to the nearest hundred. ________________________________________
  5. Write two factors of 45 after 5. ___________________________________________
  6. Work out:
    23279 + 516577= ____________________________
  7. In a political rally, there were 64561 women and 54234 men. Estimate the sum of people who attended the rally by rounding off to the nearest 100. ______________________________________________
  8. Complete the pattern:
    100000, 90500, 90000, 85000, _____________, _______________
  9. Multiply:
     847
    x 24
    ____
  10. Write the fraction of the unshaded part in the figure below.
    Grade 5 End Term 2 Set 2 math Q10 __________________________
  11. Work out;   7/92/3 = ____________
  12. What is the place value of digit 4 in the number 0.364? _____________________
  13. Work out:
    62.253 + 6.321 = _________________________
  14. Oduor had 307 hens. Twenty eight of them died. How many hens remained?
  15. Convert 12000m into kilometres
  16. Work out;
      Km       m
      73       134
    −44      224 
    __________
  17. A rectangualr plot measures 62cm by 41cm. What is the area of the plot in cm2?_____________________
  18. Convert 2 hours 26 minutes into minutes. _______________________
  19. Show the time 10:45 on the clock face below.
    Grade 5 End Term 2 Set 2 math Q19
  20. Work out;
    Sh            cts
    121          30
    −72          40
  21. Work out the value of; 
    Weeks    days
      3             6
    +2             3   
    ___________
  22. Simplify;
    p + 3p + 4p = _______________________________
  23. Name two properties of a rectangle.
    1. ____________________________________
    2. ____________________________________
  24. Name the angle below.
    Grade 5 End Term 2 Set 2 math Q24 _______________________________________

  25. Complete the pattern below
    Grade 5 End Term 2 Set 2 math Q25

MARKING SCHEME

  1. Ten thousand, one hundred and one
  2. 40,000
  3. 3593, 3954, 4956, 5900, 6451
  4. 6300
  5. 15,45
  6. 539856
  7. 118800
  8. 80000, 75000
  9. 20328
  10. 3/8
  11. 14/9 
  12. Thousandths
  13. 68.574
  14. 279
  15. 12km
  16. 28km 910m
  17. 2542
  18. 146 minutes
  19. check diagram
  20. sh 193 70 cts
  21. 6wks   2 days
  22. 8p
  23.  
    1. All angles are equal
    2. Two parallel lines are equal
  24. Acute angle
  25. Check diagram
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