QUESTIONS

1. Write eight million eight hundred and eighty, eight thousand eight hundred and eighty eight.
   1. 8,888,808
   2. 8,880,888 
   3. 8,888,880
   4. 8,888,888
2. What is the place value of digit 6 in the number 7318.106 
   1. Thousandths. 
   2. Ones. 
   3. Thousand.
   4. Hundredths.
3. Find the sum of 10 and √100
   1. 200
   2. 1000
   3. 110
   4. 150
4. Round off 978432 to the nearest thousand
   1. 979000
   2. 978400 
   3. 979432
   4. 978000
5. Which one of the following numbers is divisible by 8?
   1. 11236
   2. 5218
   3. 69960
   4. 41326
6. What is the difference between the LCM and GCD of 12, 18 and 24?
   1. 24
   2. 6
   3. 18
   4. 66
7. Subtract: 12¹/₂ from 16¹/₃
   1. 3⁵/₆
   2. 4⁵/₆
   3. 2²/₆
   4. 3⁵/₈
8. In a class of 60 pupils, 900 exercise books were given to be shared equally. How many books did each child receive? 
   1. 54000
   2. 15 
   3. 150
   4. 960
9. Find the missing numbers in the magic square.
   
   
   1. a=11, b=8 
   2. a=9,-10
   3. a=8, b=11
   4. a=12, b=7 
10. What is the area of the shaded part in the figure below?
    
    
    1. 126m²
    2. 52m² 
    3. 178m²
    4. 74m²
11. What is the value of z in
    6Z - 3 + 2z =29
    1. 4
    2. 8
    3. 3¹/₄
    4. 32
12. What is the circumference of the figure below?
    
    
    1. 66m
    2. 132m
    3. 1272m
    4. 1386m 
13. Which statement is true?
    1. 1.33 > 13.3
    2. ³/₄>0.75 
    3. 1m < 100cm
    4. 2 weeks > 48hours 
14. Express 1.24 as a percentage
    1. 124%
    2. 0.124% 
    3. 1.24%
    4. 12.4% 
15. The area of a square field is 256m². Find its perimeter. 
    1. 16m
    2. 64m 
    3. 1024m
    4. 512m 
16. What is the value of 124²/₃ +5¹/₂
    1. 2¹⁰/₃₃
    2. 66¹/₃ 
    3. 18¹/₆ 
    4. 7¹/₆ 
17. The scale of a drawing is 1cm represents 10m. Find the actual lengths represented by 12cm 
    1. 1200m
    2. 12000m 
    3. 12m
    4. 120m 
18. Convert 0.16 into fraction in its simplest form.
    1. ¹⁶/₁₀₀
    2. ⁴/₂₅
    3. ⁸/₅₀
    4. ¹⁶/₁₀₀₀
19. Calculate the measure of angle marked a?
    
    
    1. 102°
    2. 90° 
    3. 112°
    4. 92° 20.
20. Work out:
    0.032 ÷ 0.8 
    1. 0.4
    2. 4
    3. 0.04
    4. 0.004 21.
21. Simplify:
    2(5y + 7x) + 3(27-4x)
    1. 16y - 2x
    2. 7y + 3x 
    3. 7y-3x
    4. 16y + 2x 
22. Nyanguta bought the following items from a shop
    2¹/₂ kg of rice for sh. 320.00
    3 loaves of bread @sh. 50.00
    2 packets of milk @sh. 55.00
    If she paid using sh. two-sh. 500 note. How much balance did he get?
    1. Sh. 420
    2. Sh. 580
    3. sh. 20
    4. Sh. 422
23. Onyango left home for school at 7.05 a.m. She took 50 minutes to reach school. At what time did she reach school?
    1. 7.50 a.m
    2. 8.55 a.m
    3. 7.55 a.m
    4. 7.55 p.m
24. Find the reciprocal of 10 
    1. ¹/₁₀
    2. 100
    3. 5
    4. ¹⁰/₁
25. What is the compliment of 20 
    1. 92°
    2. 88°
    3. 178°
    4. 188°
26. Arrange the following fraction in descending order.
    ³/₅, ²/₃, ¹/₂, ³/₄ 
    
    1. ¹/₂,²/₅,²/₃,³/₄ 
    2.  ³/₄,²/₃,³/₅,¹/₂
    3.  ³/₄,²/₃,³/₅,¹/₂
    4.  ³/₄,³/₅,²/₃,¹/₂
27. What is the next number in the sequence.
    144, 169, 196, ................
    1. 225
    2. 256 
    3. 325
    4. 221
28. Find the value of x in the following
    ¹/₅x - 3 = 9
    
    1. 60
    2. 12 
    3. 30
    4. 20 
29. Find the sum of prime numbers between 30 and 40 
    1. 68
    2. 31 
    3. 140
    4. 107
30. What do you get when you divide the square of 12 by the square root of 64?
    1. 18
    2. 2¹/₄ 
    3. 5¹/₃
    4. 76 
31. The area of a triangular plot is 300m². If the base is 40m, what is the height?
    1. 20
    2. 15 
    3. 40
    4. 7.5 
32. Find the size of angle x
    1. 50°
    2. 100°
    3. 180°
    4. 110°
33. Jane's average score in five tests was 55 marks. She scored 45 marks in the first four subjects. How many marks did she score the fifth test?
    1. 85
    2. 95
    3. 40 
    4. 110
34. What is (2¹/₃)² 
    1. 2¹/₃
    2. 5¹/₃
    3. 4¹/₆
    4. 5⁴/₉
35. Subtract 6578596 from 9500624
    1. 2922028
    2. 3922028 
    3. 2932128
    4. 2932028 
36. What is the quotient of 29512 and 68
    1. 4034
    2. 4304
    3. 434
    4. 4340 
37. Add:
    0.23 + 4.021 + 116.3 
    1. 120.551
    2. 119.551 
    3. 121.651 
    4. 120.651 
38. What is the volume of the cuboid below.
    
    
    1. 24m³
    2. 48m³
    3. 6m³
    4. 13m³
39. What is the area of triangle below.
    
    
    1. 48m²
    2. 36m²
    3. 72m²
    4. 64m²
40.  What is the value of
    
    
    1. 2²/₃
    2. 5²/₆
    3. 3¹/₃
    4. 2¹/₃
41. Otieno earns sh. 9000 per month. If he spends 65% of this and saves the rest, how much money does he save? 
    1. Sh. 3150 
    2. Sh.9035 
    3. Sh. 9065
    4. Sh. 250
42. Work out. 9.003 x 10
    1. 900.3
    2. 90.03
    3. 9003 .
    4. 0.9003 
43. Talia has a rectangular piece of land measuring 724m long by 230m wide. What was the perimeter of her land in metres. 
    1. 1908
    2.  964
    3. 494
    4. 988 
44. How many packets can be obtained from 24kg of sugar.
    1. 6
    2. 96 
    3. 28
    4. 24%
45. Which of the given fractions is equivalent to ³/₅?
    1. ⁹/₁₅
    2. ⁴/₁₀
    3. ¹²/₁₅
    4. ⁹/₁₀
46. By using the digits 8, 6, 5,4,9 make the largest number possible.
    1. 96548
    2. 45689
    3. 89654
    4. 98654
       Use the graph below to answer questions 47-49 The graph shows farmers sales of milk in a week.
       
       
47. In which day did she sell the highest number of litres? 
    1. Friday.
    2. Tuesday. 
    3. Monday.
    4. Thursday.
48. What was the sum of the sales on Tuesday and Wednesday?
    1. 55
    2. 15
    3. 70
    4. 65
49. What was his sales for the whole week? 
    1. 250
    2. 190 
    3. 200
    4. 180
50.  What is the next shape in the pattern?
    

Marking Scheme

MATHEMATICS
STD 6
END TERM 2

1. Write 6047503 in words
   1. Six hundred and four million seven thousand five hundred and three
   2. Six million four hundred and seventy five thousand and three
   3. Six million forty seven thousand five thousand and three
   4. Sixty million forty seven thousands five hundred and three
2. What is the place value of digit 7 in the number 7896534 
   1. ten thousands 
   2. thousands
   3. millions
   4. hundred thousands
3. What is the total value of digit 6 in 47.3256 
   1. 0.0006
   2. 6
   3. 0.006
   4. 0.6
4. What is of 30
   1. 150
   2. 5
   3. 305/6
   4.  25
5. What is the next number in the series below 100, 81, 64,
   1. 4
   2. 49
   3. 56
   4. 36
6. Work out
   3 ⁴/₅ X 1 ⁶/₃
   1. 2 4/5
   2. 20 2/15
   3. 20 4/5
   4. 15 4/15
7. Solve the equation
   6x + 3 = 15
   1. 2 
   2. 3.
   3. 4
   4. 18
8. What is the measure of angle y in the diagram below
   
   
   1. 10
   2. 80
   3. 160
   4. 20
9. Kerubo had 30kg of sugar. She put the into packets weighing / kg each. How packets did she fill
   1. 40
   2. 22,
   3. 23
   4. 90
10. Round off 5.3827 to one decimal place
    1. 5.30
    2. 5.38
    3. 5.4
    4. 6.4
11. Work out
    8.75 ÷ 0.25=
    1. 0.035
    2. 0.035
    3. 35
    4. 3.5
12. Find the area of the triangle below
    
    
    1. 20cm²
    2. 30cm²
    3. 40cm²
    4. 48cm²
13. What is the least number that can be divided by 12,18 and 24 without a reminder
    1. 66
    2. 72
    3. 78
    4. 6
14. In Gucho primary 70% of the pupils are girls. If 270 pupils are boys, how many pupils are there is that school
    1. 18
    2. 81
    3. 900
    4. 630
15. The volume of a cuboid is 576cm³. What is its height if the length is 12cm and the width is 8cm
    1. 60cm
    2. 1.6cm
    3. 16cm
    4. 6cm
16. What is the mass of three packets containing 24 ¹/₃kg, 10 ¹/₂kg and 15 ¹/₄ kg of rice
    1. 50 ¹/₂
    2. 49 ¹/₁₂
    3. 34 ⁵/₆
    4. 1 ¹/₁₂kg 
17. Work out the square of 25
    1. 225
    2. 625
    3. 50
    4. 5
18. The area of a square room is 900m².What is its perimeter?
    1. 930
    2. 60m
    3. 120m
    4. 30m
19. Simplify
    5(3x - 2y) + 3(2x + 4y)
    1. 10x - 22y
    2. 21x-2y
    3. 10x + 22y
    4. 21x + 2y
20. Use the symbols =, <or > to complete the statement below
    600___500 + 102_ √4
    1. none
    2. > 
    3. <
    4. =
21. Express 2000cm² in m²
    1. 0.02m²
    2. 200m²
    3. 2m²
    4. 0.2m²
22. Karonjo's peace of land is in the shape of a square whose side measures 2 ¹/₄m what is its perimeter
    1. 4m
    2. 81m 
    3. 9m
    4. ⁸¹/₁₆cm
23. Express 0.84 as percentage
    1. 84
    2. 8.4
    3. 84%
    4. ⁸⁴/₁₀₀
24. 60% of a number is 360 what is 90% of the same number
    1. 540
    2. 1000
    3. 180
    4. 216
25. Add 869 + 7 +94684 and give your answer to the nearest thousands 
    1. 96000
    2. 95000
    3. 96560
    4. 95560
26. The diagram below represents an equilateral triangle what is the measure of angle W
    
    
    1. 90
    2. 120
    3. 30
    4. 60
27. What is the value of
    km       m       cm
      6      280      35
    x                     8
    _____________
    1. 50km 242m 280cm
    2. 48km 242m 80cm 
    3. 50km 242m 80cm
    4. 50km 224m 80cm
28. Which one of the following geometric instruments can be used to measure an angle
    1. protractor
    2. ruler
    3. set square
    4. pair of compass
29. Korir bought the following items from a shop
    2kg of sugar @sh 100
    2 loaves of bread @sh 50
    1kg of salt @sh 30
    5kg of rice @sh 100 per kg
    What balance did he get. If he paid with sh 1000 note
    1. Sh 720
    2. Sh 170 
    3. Sh 830
    4. Sh 1830
30. In class six there are 30 pupils. Each pupil was given a 2dl packet of milk. How many litres of milk was this
    1. 120L
    2. 60L
    3. 6L
    4. 30L 
31. Mumo earns Kshs 1200 per a day. If he saves 20% of this, how much money does he spend
    1. Sh 960 
    2. Sh 1440
    3. Sh 240
    4. Sh 1200
32. Mwangi left Mombasa at 2340hrs. It took him 1hr 20 minutes to arrive at Sultan Hamud. At what time did he arrive at Sultan Hamud?
    1. 1.00p.m
    2. 2420hrs
    3. 2500hrs
    4. 0100hr
33. Name the point of intersection in the figure below
    
    1. F and E
    2. A and C
    3. H and E
    4. F and C
34. The area of the rectangle below is 180cm? Find its perimeter
    
    1. 27cm
    2. 12cm
    3. 165cm
    4. 54cm
35. What is the complimentary angle of 72°
    1. 180°
    2. 18°
    3. 108°
    4. 90°
36. A wheel has a radius of 21 cm makes 100 revolutions. What distance did it cover in metres
    1. 132m
    2. 1320m
    3. 13.2m
    4. 13200m
37. Ombuga travelled from Nairobi to Busina distance of 480km in 6 hours. What was his average speed in km/h
    1. 80km/h .
    2. 486km/h
    3. 2880km/h
    4. 474km/h 
38. What is the sum of the vertices, faces and edges of a open cuboid
    1. 26
    2. 25
    3. 20
    4. 21 
39. What is the area of the unshaded part in the figure below
    
    1. 90cm²
    2. 6m²
    3. 84cm²
    4. 96cm²
40. Otara bought a cow at sh 77500 and solit to Ombui at sh 85,000 what profit did he make
    1. Sh 8500
    2. Sh 7500
    3. Sh 85000
    4. Sh 162500
41. Okongo bought a goat for sh 1200 and sold it at sh 1400. Calculate his percentage profit
    1. 11%
    2. 13 ¹/₂%
    3. 14 ²/₇%
    4. 16 ²/₃%
42. Arrange the following in ascending order
    ³/₈ , ¹/₆, ³/₄, ²/₃
    1. ³/₄ ,³/₈ ,²/₃ ,¹/₆ 
    2.  ¹/₆,³/₄ ,²/₃ ,³/₈ 
    3.  ³/₄,²/₃ , ³/₈ ,¹/₆
    4.  ³/₄,²/₃ , ³/₈ ,¹/₆
43. Solve the equation for y
    1/3 y=27
    1. 9
    2. 27 
    3. 81
    4. 3
44. Complete the magic square below and find the value of x and y respectively 
    

    1	10		3
    8	x	5	6
    	4	6	y
    8	5		4

    
               x, y
    1. 7, 3
    2. 3,6
    3. 6,1
    4. 1,7
45. What is
    7 5/13 ÷  3 9/13=
    1. .9
    2. .5
    3. ¹/₂
    4. 2
46. A book weighs 250g, Musa loaded 173 parcels each containing 40 such books into his lorry. Find the mass in kilograms of the books loaded at the lorry
    1. 1730kg
    2. 9.2kg
    3. 1730000kg
    4. 173kg
47. How many litres are there in 24 litres
    1. 12L
    2. 96L
    3. 48L
    4. 6L
48. Work out
    Litres    decilitres
       5           6
    + 1           7          
    ______________
    1. 7L 3dl
    2. 6L 3dl
    3. 6L 13dl
    4. 7L 3dl
49. Work out
    0.036 + 0.002
    1. 81
    2. 18
    3. 36
    4. 2
50. The bar graph below shows the amount of rainfall recorded at a weather station in the first six months of a certain year.
    
    What was the difference between rainfall in may and February?
    1. 40mm
    2. 120mm 
    3. 65mm
    4. 50mm

MARKING SCHEME

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

1. Which one of the following is seven hundred and three million forty thousand and twenty two in symbols?
   1. 703040022
   2. 734022
   3. 7304022
   4. 70034022
2. What is the total value of digit 5 in 649.851?
   
   1. ⁵/₁₀
   2. ⁸⁵/₁₀₀
   3. ⁵⁰/₁₀₀
   4. ⁵/₁₀₀
3. Find out the largest possible number that can be added to 6924 to make it divisible by 10
   1. 6
   2. 4
   3. 76
   4. 24
4. Find the square of
   ²⁵/₆₄
   1. ⁵/₈
   2. ⁶²⁵/₁₂₈
   3. ⁶²⁵/₄₀₉₆
   4. ⁵⁰/₁₂₈
5. What is 72.948 rounded off to the nearest hundredths?
   1. 70.00
   2. 72.95
   3. 72.40
   4. 72.94
6. Glen Walter had 150 oranges. If he gave out 20% to his friends and sold the rest at ksh.20 each. How much money did he get?
   1. 3600
   2. 1200
   3. 2400
   4. 600
7. Work out the value of
   2b(d+2a)
    c(2a − d)
   ifa=6, b=½a, c= 3a and d=¹/₉c
   1. ⁷/₃₀
   2. 7
   3. ⁷/₁₅
   4. 15
8. Part of a river whose actual length is 12km is represented on a map by 6cm. What is the scale used? A.
   1. 1:200 000
   2. 1:6000 
   3. 1:120000 
   4. 1:2000
9. James deposited ksh. 50,000 in Equity bank account for 3 years at an interest of 10% p.a. How much money was in his account after this period?
   1. 15,000 .
   2. 35,000 
   3. 85,000
   4. 65,000
10. Velma Margeret bought a dairy cow at ksh. 60,000 during dry spell. After feeding it well for two months, she sold it at a profit of 15%. How much was her profit?
    1. Ksh. 69000
    2. Ksh. 9000 
    3. Ksh. 45000
    4. Ksh. 19000
11. Find the area of the figure below in ares.
              
    
    1. 12.32 Ares
    2. 1232 Ares 
    3. 6.16 Ares
    4. 616Ares
12. The marked price of a sofa set is ksh. 20,000. Cynthia bought the sofa set on hire purchase terms by paying a deposit of ksh. 20,000 and monthly instalment of ksh. 1000 for 12 months. How much more did she pay than the marked price? 
    1. Sh. 32,000 
    2. Sh. 7,000 
    3. Sh. 15000
    4. Sh. 12000
13. Which one of the following is not true about quadrilaterals?
    1. Have four sides.
    2. All sides are equal.
    3. Interior angles add upto 360°
    4. Have four interior angles.
14. What is 1.3 × 2.4  ÷ 0.12
    1. 26
    2. 13
    3. 2.6
    4. 1.3
15. Find the area of a trapezium below in hectares.
              
    1. 0.032ha
    2. 320ha
    3. 0.054ha
    4. 540ha
16. Find the value of angle marked y in the diagram below.
                  
    1. 20°
    2. 40° 
    3. 30°
    4. 60°
17. Find the area of the unshaded part in the figure below.
                 
    1. 496cm²
    2. 80cm²
    3. 104cm²
    4. 600cm²
18. What is the volume of the prism below in dl?
    
              
    1. 3080dl
    2. 616dl
    3. 30.8dl
    4. 61.6dl
19. What is half the value of the second next number in the sequence.
    220, 210, 190, 160, _______
    1. 70
    2. 120 
    3. 60 
    4. 35
20. Moses bought the following items from a supermarket?
    3%kg of sugar at sh. 100, 2 loaves of bread @sh. 100, 500g of margarine sh. 170, a packet of tea leaves @sh.60 and 3 packets of milk for sh. 150
    How much did he pay for all the items?
    1. Sh.1230 . 
    2. Sh.930 
    3. Sh. 780
    4. .Sh. 880
21. Work out:, 1/9 of (6 ÷ ²/₃) 
    1. 6
    2. 3 
    3. 1
    4. 4
22. Construct triangle ABC in which line BC=5cm,angle ABC=70° and line AC=8cm. Draw a circle whose circumference touches the vertices of the triangle. What is the diameter of the circle?
    1. 4.2cm
    2. 8.4cm 
    3. 3.8cm
    4. 7.6cm
23. Two bells in a School rings at an interval of 30min and 35min respectively. If they rung together at 8.20 a.m. When will they ring again together?
    1. 11.50 a.m
    2. 11.30 a.m
    3. 11.00 a.m
    4. 9.30 a.m
24. A sales lady receives 20% commission on the sales made. If she sold 10 bags of maize at ksh. 3500 each. How much was her earning that day?
    1. Sh. 28000
    2. Sh. 7000 
    3. Sh. 35000
    4. Sh. 1850
25. What is sh. 600 reduced by 15%
    1. Sh. 90
    2. Sh. 510 
    3. Sh. 615
    4. Sh. 690
26. A vehicle covered a distance of 60km in 40 minutes. Find its speed in m/s
    1. 1.25m/h
    2. 8m/s 
    3. 25m/s
    4. 10m/s
27. 10 girls can clean a hall in 6 minutes. How many more girls are needed for the work to last for 2 minutes?
    1. 15
    2. 30 
    3. 20
    4. 10
28. The price of an electric cooker is shs. 3600 after a discount of 10% is given. What is the price of the cooker before discount?
    1. 5000
    2. 3240 
    3. 4000
    4. 27000
29. Awino is three times older than Wanjala and 5 years younger than Lenturi. find the sum of their ages if Wanjala is x years old.
    1. 6x + 10
    2. 7x − 5 
    3. 7x + 5
    4. 6x − 5
30. Pie chart below shows the number of animals in game park, if there are 550 zebras in the game park. How many lions are in the game park?
              
    
    1. 300
    2. 900
    3. 600
    4. 1800
31. Find the surface area of a pipe whose diameter is 7cm and the length is 2m?
    1. 4400cm
    2. 8800cm 
    3. 1400cm
    4. 17600cm 
32. The ratio of boys to girls in is 2:3. If there are 240 girls, how many boys are in the school?
    1. 400
    2. 200 
    3. 160
    4. 360
33. Which sets of measurements below cannot be used to make a right angled triangle? 
    1. 6,8,10
    2. 3,4,5 
    3. 15, 20, 25
    4. 5,7, 10
34. A bus left a station at 6.30 a.m. If the bus got a puncture at town B and reached town C at a quarter past noon. How long was the journey? \
    1. 6hrs 15mins
    2. 5hrs 15mins
    3. 5hrs 45mins 
    4. 6hrs 45mins
35. Find the perimeter of the figure below.
               
    
    1. 124cm
    2. 112cm
    3. 64cm
    4. 88cm
36. Arrange the fractions below in descending order. 
    ⁴/₉, ⁶/₇, ¹/₅, ½
    
    1.  ⁶/₇, ½, ⁴/₉, ¹/₅
    2. ⁴/₉, ⁶/₇, ¹/₅, ½
    3. ⁶/₇,⁴/₉, ½ , ¹/₅
    4. ¹/₅, ½, ⁶/₇, ⁴/₉
37. Construct a square of sides 6cm. Draw the diagonal of the square. What is half the length of the diagonal.
    1. 10cm
    2. 2.5cm
    3. 3.6cm
    4. 4.2cm
38. The graph below shows production of maize in farm for 5 years.Find the reduction in maize production in kg in the farm between 2018 and 2013.
               
    1. 30000kg
    2. 20kg 
    3. 20000kg
    4. 30kg
39. The number of boys in a class is a half the number of girls. If there are x girls in the class. How many boys are in a class if the class has a total of 60 pupils?
    1. 60
    2. 40 
    3. 20
    4. 120
40. What is the area of the figure below if its perimeter is 20m?
           
    
    1. 400m² 
    2. 40m²
    3. 25m² 
    4. 100m²
41. Which one of the following digits should be increased to have the largest value in the fraction.
    1. 6
    2. 7
    3. 9
    4. 1 
42. Which one of the following nets can be used to form an open cube?
    
43. Calculate the area of the perpendicular below.
             
    1. 300cm²
    2. 120cm²
    3. 160cm²
    4. 150cm²
44. What is the sum of the compliment of 60° and supplement of 70°?
    1. 90°
    2. 50°
    3. 140°
    4. 130°
45. Find the modal number in
    6, 3, 6, 7, 8, 6, 5, 6 
    1. 7
    2. 3
    3. 6
    4. 8
46. Below is a graph showing a train journey from Kisumu to Busia. What was its average speed for the whole journey.
              
    1. 32.25 km/h 
    2. 37km/h
    3. 65.5km/h 
    4. 62.5km/h
47. Find the value of the largest angle in the diagram below.
               
    1. 50°
    2. 90°
    3. 120°
    4. 30°
48. A family uses 3- 500ml packets of milk in a day. How many litres does the family uses in a month of February in 2018?
    1. 43 litres.
    2. 42 litres
    3. 48 litres.
    4. 43.5litres
49. Work out 600 kg as a percentage of 1 tonne?
    1. 30%
    2. 10%
    3. 60%
    4. 40%
50. The figure below was drawn to a scale of 1:10000. Find its actual area?
               
    1. 360000m²
    2. 120000m²
    3. 240000m² 
    4. 480000m²

MARKING SCHEME

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

QUESTIONS

1. Which of the following is ninety two thousand seven hundred fifty seven and fourteen thousandths
   1. 92757.14
   2. 92757.014 
   3. 9275714
   4. 927571400
2. What is the value of digit 6 in 7610315
   1. hundred thousands 
   2. six hundred thousand 
   3. millions 
   4. tens of thousands
3. What must be multiplied by 0.07 to get 7
   1. 100
   2. 10
   3. 0.1
   4. 0.01
4. What is the sum of the next two missing numbers 1,3,6,10,15 
   1. 21
   2. 28 
   3. 49
   4. 7
5. What is the value of 
   ³/₅ + ¹/₃ of (⁴/₇ - ¹/₅) ÷ ²/3 
   1. 2³/₁₀
   2. ¹¹/₁₄
   3. 5¹/₅
   4. 1³/₁₀
6. If a=3, b=a-1 and c = b +4
   Evaluate
   a² + c
   2b - 1
   1. 5
   2. 3
   3. 7
   4. 1
7. Jared deposited sh 24000 in a bank which pays 15% simple interest. He withdrew all the interest after 1¹/₂ years. How much money did he withdrew 
   1. Sh 4040
   2. Sh 3600
   3. Sh 5400
   4. Sh 2940
8. James fenced his rectangular piece of land measuring 50m by 25m. Using five strands of wire what length of wire did he use
   1. 750m
   2. 600m
   3. 375m
   4. 150m
9. What is the next number in the sequence below
   ¹/₂, ⁵/₈, ³/₄, ⁷/₈
   
   1. 2
   2. 1¹/₈
   3. 1¹/₇
   4. 1
10. What is the value of 8.229 + 4 correct to the nearest thousandths
    1. 2.058
    2. 2.0573 
    3. 2.573
    4. 2.057
11. Mwangi drives 2¹/₂hrs at an average speed of 64km/h and later drives 50km at 100km/h. What is his average speed for the whole journey
    1. 50km/h
    2. 70km/h 
    3. 3km/h
    4. 210km/h
12. Mkulima bought a radio cassette on hire purchase terms. He paid a deposit of sh 5000 and there after 15 monthly installments of Sh 1200 each. If the total amount he paid was Sh 3000 more than the marked price, what was the marked price of the radio cassette
    1. Sh 23000
    2. Sh 13000
    3. Sh 26000
    4. Sh 20000
13. Find the perimeter of the shape below in metres
    
    
    1. 460mm
    2. 300cm
    3. 4.6m
    4. 52m
14. Elijah scored an average mark of 63% in six tests in the first five, his score was 67%. 58%, 72%, 53% and 60%. What was his score in the sixth test?
    1. 378
    2. 69
    3. 68
    4. 75.6
15. Nyambura bought the following items from a shop
    2kg of flour for sh 150
    3kg of rice @sh 70
    2 bars of soap @sh 110
    2kg of cooking fat @sh 100
    2 boxes of matches for sh 10
    If she gave the shopkeeper sh 1000 note, how much balance did she receive
    1. Sh 50
    2. Sh 210
    3. Sh 950
    4. Sh 790
16. What is the sum of the next two prime numbers after 83
    1. 172
    2. 186
    3. 170
    4. 176 
17. In the figure below angle BAC is 52° and angle ACB is 48°. Find the measure of angle t
    
    
    1. 100°
    2. 80°
    3. 48°
    4. 52°
18. Which of the following measurements will form a right angled triangle
    1. 7cm, 8cm, 10cm
    2. 2.5cm, 6cm, 6.5cm
    3. 4cm, 6cm, 10cm
    4. 5cm, 6cm, 7cm
19. An orange tree was 160cm. The height of the tree increased by 7¹/₂ find the new height of the orange tree 
    1. 267¹/₂ cm
    2. 107¹/₂cm 
    3. 172cm
    4. 167cm
20. Five men working at the same rate can dig a shamba in 12 days. How many days will 15 men take
    1. 4 days
    2. 60 days
    3. 27 days
    4. 17 days 
21. 5(7 - 3e) + 3 (9e + 2)
    1. 12e +41
    2. 12e-41
    3. 42e-2a
    4. 42e = 2a
22. Find the perimeter of the given figure below
    (take pie to be π =3¹/₇ )
    
    
    1. 108m
    2. 90m
    3. 80m
    4. 108m²
23. King'ong'o and Muriasi shared sh 750 in the ratio of 7:8 respectively how much Muriasi get
    1. Sh 500
    2. Sh 400
    3. Sh 250
    4. Sh 350
24. The price of a radio was reduced by 20% in a reduction sale. If maina bought it at Sh 5600, what was the original price of the radio
    1. Sh 1400
    2. Sh 7000
    3. Sh 6000
    4. Sh 8000
25. The mean weight of 8 chicken is 3¹/₂kg. The total weight of three of the chicken is 13kg what is the mean weight of the remaining five chicken in grammes
    1. 3000
    2. 8 
    3. 28
    4. 3
26. The area of a triangle is 96cm². If its base is 12cm what is the height of the triangle
    1. 16cm
    2. 32cm
    3. 24cm
    4. 12cm 
27. What is the value of
    0.48 x 0.24
    0.24 x 0.06
    1. 8
    2. 800
    3. 0.8
    4. 80
28. The table below shows the number of goats sold in a week
    

    Day	Mon	Tue	Wed	Thur	Fri
    No Sold	43	40	39	46	42

     What was the median number of goats sold
    1. 41
    2. 43
    3. 42
    4. 39
29. The charges for sending a telegram are sh 12 for ten words or less. Sh 1.00 is paid for each extra work. A tax of 18% of the total is then charged. How much did Sophia pay to the nearest five cents for the telegram below
    JOSHUA BOX 18 KANGUNDO SEND SCHOOL FEES SHILLINGS TWELVE THOUSANDS JOSHUA 
    1. Sh 15.34
    2. Sh 15.30
    3. Sh 15.50
    4. Sh 15.35 30.
30. A pick up carried 14 cartons. Each carton had 200 tins. What is the total mass of the tins in tonnes if each tin was 500g
    1. 14
    2. 14000
    3. 1.4
    4. 1400 
31. The ration of sheep to cows in a flock is 5:3. If there are 130 less cows than sheep. How many cows are in the flock
    1. 390
    2. 520
    3. 325
    4. 195
32. On a map the scale used is 1:5000. A piece of land is drepresented on a drawing by a length of 3cm by 2cm. Find the actual area of the land in hectares
    1. 6ha
    2. 1.5ha
    3. 300ha
    4. 0.3ha
33. Find the size of the angle marked L
    
    
    1. 114°
    2. 66°
    3. 132°
    4. 48°
34. Tap A takes 6 hours to fill a tank while tap B takes 8 hours to fill the same tank. What fraction of the tank is filled by both taps in 1 hour 
    1. ¹/₂₄
    2. ⁷/₂₄
    3. ¹/₈
    4. ¹/₆
35. Which is the shortest length of wire from which equal pieces of length 32cm, 28cm and 36cm can be obtained without a remainder
    1. 4cm
    2. 96cm
    3. 2016cm
    4. 120cm
36. Work out
    (0.9)² + √0.0196 
    1. 0.95
    2. 0.14 
    3. 0.81
    4. 0.95 
37. Arrange the following ascending order
    ²/₃, 0,42, ⁵/₈ and 0.44
    1. 0,42,²/_3, 0.44, ⁵/₈
    2. 0,42,0.44,⁵/₈,²/₃
    3. ²/₃,⁵/₈,0,42,0.44
    4. 0,42,²/₃,0.44,⁵/₈
38. Calculate the area of the closed cylinder shown below 
    π = 22
           7
    
    1. 1034cm²
    2. 880cm²
    3. 1188cm²
    4. 308cm²
39. The table below gives the distance in kilometres between town F to K
    
    What is the distance between town F and K via G
    1. 150
    2. 320
    3. 240
    4. 390 
40. What is the value of
    (3y + 4b) - (2y + b)
    If b=6 and y=10 
    1. 28
    2. 80
    3. 40
    4. 54
41. Karanja bought 5.86kg of potatoes, Kamau bought half what Karanja bought and Omondi bought 3 times what Kamau bought. What was the total mass of the potatoes bought by the three people
    1. 8.79
    2. 14.65
    3. 11.79
    4. 17.58 42.
42. What is twice the value of w in the figure below
    
    
    1. 40
    2. 80
    3. 50
    4. 36
43. Three hundred and sixty four people contributed Sh 450 each to buy a piece of land. How much did they contribute all ! together
    1. Sh 814
    2. Sh 136800
    3. Sh 163800
    4. Sh 16380
44. What is the distance of the given figure below in metres
    
    
    1. 10.665m
    2. 10665m
    3. 1066.5m
    4. 106.65m 
45. Wendy is p years old. Her father is 7 times as old as wendy. How old will her father be in 30 years time?
    1. 7p + 30
    2. 8p + 60
    3. 2p + 30
    4. p + 30
46. A rectangular tank measures 3.2m by 12m by 4.5m high. Find the volume of the tank in cubic metres
    1. 172.8m³
    2. 172800m³
    3. 1.728m³
    4. 1728m³
47. Mwango visited her aunt on January 20th 2016. He went back home on 3rd March 2016. How many nights did she sleep at her aunt's place
    1. 91
    2. 44
    3. 43
    4. 42
48. Solve the inequality below
    2x - 2 > x+3
         2        4
    1. x>1²/₅
    2. x>2¹/₃
    3. x<1 ²/₅
    4. x<2¹/₃
49. Construct triangle PQR in which QP-6cm, PR-4.5cm and angle PRO is 1200. Draw a circle that passes point PQR. What is the diameter of the circle? 
    1. 6.8cm
    2. 10.6cm
    3. 3.4cm
    4. 5.3cm 
50. The graph below shows Nyangweso's journey from Nyeri to Migori by car. He started his journey at 8.00a.m and arrived ar 3.30 p.m
    
    What was his average speed after lunch 
    1. 50km/h
    2. 150km/h
    3. 66 km/h
    4. 557 km/h

MARKING SCHEME

MATHEMATICS
STD 8
END OF TERM 2

1. Which one of the following is eleven million four hundred thousand six hundred and eleven in symbols?
   1. 11400161
   2. 11040611
   3. 11400611
   4. 11004611
2. What is the place value of digit 5 in the number 645732?
   1. 5000
   2. Hundreds
   3. Ten thousands
   4. Thousands
3. What is the Highest Common Factor of 48, 72 and 54?
   1. 6
   2. 12
   3. 32
   4. 864
4. What is 5798923 rounded off to the nearest thousands?
   1. 5790000
   2. 5799000
   3. 5798000
   4. 579800
5. What is the next number in the sequence below?
   1½, 2 ¹/₆, 2 ⁵/₆, 3½, ____
   1. 4 ¹/₆
   2. 4 ¹/₃ 
   3. 4 ¹/₂
   4. 5 ¹/₆
6. What is the square root of 5 ⁴/₉?
   1. 1 ⁷/₉
   2. .2 ¹/₃
   3. 2 ²/₃
   4. ⁷/₉
7. Which one of the following computations gives a fraction equivalent to  7/9?
   1.  5 x 2 
        6x3
   2.   7x3  
        3 x 9.
   3.   9-2   
      11 + 2
   4.   7X2  
      18 + 2
8. In the figure below, BCDE is a quadrilateral. Line ABC is a straight line. Line AC is parallel to ED and line EB is parallel to DC. Angle AEB = 80° and EDC = 125°.
   
   Find the value of angle EAB.
   1. 55°
   2. 135°
   3. 45°
   4. 80°
9. What is the least number that should be added to 3661 to make it divisible by 8?
   2. 5
   3. 2
   4. 3
10. What is the value of:
    4.5+ 3.6 x 1.2 + 1.36
           0.5 
    1. 20.36
    2. 19.32
    3. 19.00
    4. 10.18
11. The price of a suit was increase by Shs.400. If this was 20%, what was the price of the suit before the increase?
    1. Shs. 2400
    2. Shs. 2000
    3. Shs. 1800 
    4. Shs. 1600 12.
12. 1.5 tonnes of sugar were packed in 750g packets. How many packets were obtained?
    1. 2
    2. 200
    3. 2000
    4. 20 
13. What is the perimeter of the figure below given that OB is the diameter of the semi circle? (π=²²/₇)
    
    
    1. 120cm 
    2. 140cm
    3. 126cm
    4. 112cm
14. The difference of two numbers is 850. The smallest number is 717. What is the other number?
    1. 1467
    2. 1667
    3. 1567
    4. 133
15. Kamau is three times as old as his sister Ten years ago, their total age was 24 years How old will Kamau be in 3 years times?
    1. 36 years
    2. 11 years
    3. 14 years
    4. 33 years 
16. What is the value of:
    ab²(c² - 2a)
             c
    where a = b + 3, b = c - 2 and c = 4. 
    1. 55
    2. 30
    3. 15
    4. 70
17. The figure below shows a triangle
    
    What kind of a triangle is it?
    1. Right angled triangle.
    2. Equilateral triangle
    3. Scalene triangle
    4. Isosceles triangle
18. Alice bought 15 cartons of milk. A carton contains thirty six-500ml packets of milk. How many litres of milk did Alice buy altogether?
    1. 27000L
    2. 54000L
    3. 270L
    4. 450L
19. What is the value of w in the equation.
    W+1 + 3 = 6?
       2
    
    1. 2
    2. 5
    3. 4
    4. 8
20. Construct triangle ABC in which AB = 6.5cm, AC = 5cm and angle ACB = 60°. What is the length of line CB?
    1. 5.2cm
    2. 4.9cm
    3. 5.9cm
    4. 6.9cm
21. The area of the trapezium below is 648cm2.Line AB is 24cm and the perpendicular height is 18cm.
    
    Find the length of line DC
    1. 72cm
    2. 96cm
    3. 24cm
    4. 48cm
22. Adagi bought a watch for Shs. 342 after he was allowed a discount. If the marked price was Shs. 360, what was the percentage discount?
    1. 5%
    2. 18%
    3. 22%
    4. 6 1/9%
23. The temperature of ice was 14° below the melting point. It was heated to a temperature of 68°C. What was the rise in temperature?
    1. 54°C
    2. 72°C
    3. 68°C
    4. 82°C
24. The length of a rectangle is 36cm. Itsdiagonal is 45cm. Calculate its perimeter?
    1. 126cm
    2. 162cm
    3. 81cm
    4. 61cm
25. Three traffic signals are set to flash at intervals of 24 min, 30 min and 36 min. It they flashed together at 9:10a.m, at what time had they flashed together before?
    1. 3:10pm
    2. 9:16am
    3. 10:40pm
    4. 3:10am
26. What is the area of the shaded part in the figure below?
    
    
    1. 20cm²  
    2. 72cm²
    3. 30cm² 
    4. 36cm²
27. Kemunto bought the following items from a shop:
    2kg of rice at Shs. 75.
    3 packets of flour at Shs. 120.
    2 ¹/₂ kg of sugar at Shs. 50.
    2 packets of coffee for Shs. 150.
    She paid for the items with two-sh.500 notes. What balance did she get?
    1. Shs. 785
    2. Shs. 65
    3. Shs. 215
    4. Shs. 225
28. The ratio of men to women in a meeting was 4:5. There are 70 more women than men in the meeting. How many women were there?
    1. 350
    2. 630
    3. 280
    4. 400
29. What is the perimeter of the figure below. The diameter of the semi-circle is 10cm (Take = 3.14)
    
    
    1. 32.55cm
    2. 30.55cm
    3. 23.44cm
    4. 29.55cm
30. A book seller sold Distinction Mathematics text book for Shs. 720 making a 10% loss. How much would he have sold the book to make 20% profit?
    1. Shs. 880
    2. Shs. 800
    3. Shs. 960
    4. Shs. 864 
31. A circular pond has an area of 2464m². It was fenced round using five strands of wire. What is the length of the wire used? 1=22%,
    1. 789m
    2. 280m
    3. 176m
    4. 880m
32. A motorist travelled at a speed of 60km/h for 2hrs. He then increased the speed by 10km/h for other 2 hours. What was the average speed for the whole journey?
    1. 65km/h
    2. 64km/h
    3. 70km/h
    4. 68km/h 
33. What is the sum of the mean and the mode of the following numbers?
    4, 5, 6, 7, 5, 9, 5, 8,5
    1. 6
    2. .5
    3. 10
    4. 11
34. Simplify:
    1/2(2x - 14 - 6) + 1/4(8x + 36y + 12)
    1. 3x + 2y - 6
    2. 3x + 2y + 6
    3. 3x + 2y
    4. 3x + 16y +6
35. 8 workers were expected to take 24 days to complete some work. Two failed to turn up. How many more days did the work take the remaining workers to complete the work?
    1. 32
    2. 8
    3. 18
    4. 6 
36. The perimeter of the triangle below is 36cm.
    
    What is the area of the triangle above?
    1. 60cm
    2. 120cm
    3. 30cm
    4. 65cm
37. Luka borrowed Shs. 25500 from a bank that charged simple interest at a rate of 15 % p.a. If he paid all the money after 8 months, how much did he pay?
    1. Shs. 25050
    2. Shs. 2550
    3. Shs. 2813
    4. Shs. 2635 
38. A length of 5cm was drawn on a map to represent a river of 80km long. What is the scale of the map?
    1. 1:16000000
    2. 1:1600000
    3. 1:160000
    4. 1:16000
39. After paying a commission of 7% of the price of a vehicle to an agent, the owner of the vehicle was left with Shs. 232500. How much was paid to the agent?
    1. Shs. 17500
    2. Shs. 17275
    3. Shs. 16275
    4. Shs. 25000
40. In the figure below, line MN = MT, angle NMT = 40°, angel PTN = 30° and angle PNT = 70°
    
    What is the measure of angle MPT?
    1. 30°
    2. 100°
    3. 80°
    4. 70°
41. The area of a square piece of land is 0.64ha. What is its perimeter in metres?
    1. 80m
    2. 320m
    3. 6400m
    4. 8000m
42. Naliaka bought 1000 bananas at Shs. 5 each. On the way, 43 bananas got spoilt. She sold the rest in piles of 11 bananas at Shs. 88 each pile. What was the profit made?
    1. Shs. 6656
    2. Shs. 1656
    3. Shs. 5000
    4. Shs. 2656
43. Timothy bought a T.V set through a hire purchase terms by paying a deposit of Shs. 9500 followed by 20 monthly installments of Shs. 920 each. If the cash price was Shs. 24000, how much more than the cash price did he pay for the TV set?
    1. Shs. 3900
    2. Shs. 13580
    3. Shs. 15100
    4. Shs. 5600
44. The figure below shows a right-angled triangle YXZ. Line XY = 6.5cm, MY = 2.0cm and ZM = 7.5cm. 7.5cm
    
    What is the area of triangle MZY?
    1. 6.5cm
    2. 13.5cm
    3. 6.0cm
    4. 18.5cm
45. What is twice the value of:
    ¹/₂  of  ³/₄ + ¹/₈ (⁷/₉ - ²/₃) ÷ ¹/₄?
    1. ³¹/₃₆
    2. ³¹/₇₂
    3. ¹/₄
    4. ¹⁷/₁₈
46. What is the surface area of the solid drawn below?(π=²²/₇)
    
    
    1. 50016cm
    2. 30800cm
    3. 2992cm
    4. 5632cm
47. What is the total value of digit 3 in the number? 6835290
    1. 3000
    2. Ten thousands
    3. Thirty thousand
    4. 300000 
48. The table below shows distance in km between different towns. Thika 80 Kenol 113 1140 Sagana 160 120 40 Karatina What is the distance from Sagana to Thika via Kenol?
    
    
    1. 40km
    2. 160km 
    3. 113km
    4. 220km
49. Mr. Stephen paid Shs. 1800 for an item after he was allowed a discount of 10%. How much was the marked price?
    1. Shs. 2000
    2. Shs. 1980
    3. Shs. 1620
    4. Shs. 2180
50. The graph below shows the journey of a motorist.
    
    What was his average speed for the whole journey?
    1. 60km/h
    2. 48km/h
    3. 72km/h
    4. 100km/h

MARKING SCHEME

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

1. Which one of the following is 47665210 in words?
   
   1. Forty seven million, six sixty five thousand two hundred and ten.
   2. Four million seven hundred and sixty five thousand two hundred and ten.
   3. Forty seven million six hundred and sixty five thousand two hundred and ten.
   4. Forty seven million six hundred and fifty six thousand two hundred and one.
2. What is the difference between the largest number and the smallest number formed by the digits 4, 5, 1, 0, 2?
   
   1. 43965
   2. 55455
   3. 52965
   4. 54455
3. Work out twice the value of:
   12− (196÷14) x 2 + 26
   
   1. 10
   2. 20
   3. 44
   4. 22
4. Round off 499.9972 to the nearest hundredths.
   
   1. 499.99
   2. 499.00
   3. 500
   4. 500.00
5. What is the largest capacity of a bottle that can be used to completely empty three containers each holding 48L, 60L and 72L without a remainder?
   1. 24L
   2. 12L
   3. 720L
   4. 360L
6. In the figure below line AB is parallel to line CD and XY is a straight line, angle CKR = 110°, line RT RY.
   
   What is the measure of angle YTB?
   1. 125°
   2. 55°
   3. 70°
   4. 110°
7. 24 workers can take 30 days to complete the construction of a bridge. How many more days will it take to complete the work if 4 workers failed to turn up?
   1. 36
   2. 32
   3. 2
   4. 6
8. A man deposited sh 60000 in a bank. After 2½ years he withdrew a total of 68250. At what rate per annum was the money earning the interest?
   1. 5½%
   2. 5%
   3. 11.4%
   4. 7½%
9. Njuguna and Mercy shared the profit of sh 20000 in the ration 3:1. How much did Njuguna get?
   1. Sh 5000
   2. Sh 10000
   3. Sh 15000
   4. Sh 12000
10. A grazing farm in a rectangular shape was drawn using a scale of 1:50000. Calculate the distance round the rectangular farm as accurately drawn below.
             
    
    1. 13m
    2. 26m
    3. 1300000m
    4. 13km
11. Electric poles were erected to connect electricity between two towns 3.75km apart. If the poles were placed 50m apart, how many poles were used?
    1. 75
    2. 76
    3. 3700
    4. 38
12. What is the value of
    ½ of 4½ ÷ 2²/₃ x ⁷/₉ − ²/₅?
    1. ⁷/₂₀
    2. ⁸/₂₀
    3. ³/₄
    4. ⁹/₂₀
13. In a meeting there were 7354 people. The number of men was 1022 more than that of women. How many men attended the meeting?
    1. 6332
    2. 5210
    3. 4188
    4. 3166
14. Josphine bought the following items from a shop
    2½bars of soap @sh 120
    1¼kg of sugar @sh 320
    2 - 2kg packets of flour at sh 80
    0.5kg of rice at sh 80
    How much did she pay for the items?
    1. Sh 1060
    2. Sh 980
    3. Sh 1100
    4. Sh 900
15. A square piece of land has an area of 12.25 ha. It was fenced round using 5 strands of wire. What is the length of the wire used?
    1. 350m
    2. 7000m
    3. 1400m
    4. 70m
16. The figure below represents a gate. Line AB=ED=12m, line AF=FE 5m, line FC = 15m.
    
    Both sides of the gate were painted. Calculate the area that was painted.
    1. 67.5m² 
    2. 120m² 
    3. 135cm²
    4. 270m²
17. Given that m=12, n=½m and w=5. What is the value of:
    ½(2m+nw) - n² +2m?
    1. 15
    2. 27
    3. 9
    4. 21
18. Jerome paid sh 840 for a shirt after he was given a discount of 30%. How much more was the marked price than the selling price?
    1. Sh 1200
    2. Sh 1140
    3. Sh 300
    4. Sh 360
19. Tamara can sweep a room in 8 minutes, Jane can sweep the same room in 12 minutes. How long would the two girls take to sweep the same room together?
    1. 4 min 48 seconds
    2. 20 minutes
    3. 5 minutes
    4. 4 minutes, ⁴/₅ seconds
20. The pie chart below shows how pupils chose their favourite games and sports.
    
    If 18 pupils chose football, how many pupils were there altogether in that class?
    1. 36
    2. 48
    3. 54
    4. 60
21. A motorist left town A for town B a distance of 120km at a speed of 60km/h. After 30 minutes he got a puncture which took 30 minutes to repair. After repair he travelled the remaining distance at a speed of 45km/h. What was his average speed for the whole journey?
    1. 52½ km/h
    2. 40km/h
    3. 60km/h
    4. 45km/h
22. Find the value of x in x − 1 + 3x + 3 = 11
                                         5           4
    1. 6
    2. 8
    3. 9
    4. 11
23. The table below shows the amount of milk produced by cows in the Okoloi's farm in one week 
    

    Days	Mon	Tue	Wed	Thur	Fri	Sat
    Amount in lItres	____	73	____	78	80	76

    
    The average amount of milk produced in the six days was 75 litres. If 5 more litres were produced on Monday than on Wednesday. How many litres were produced on Monday?
    1. 74 
    2. 69
    3. 143
    4. 138
24. A closed cylinder has a diameter of 28cm and a height of 30cm. What is the surface area when open at the top?
    1. 2640cm²
    2. 3256cm²
    3. 1184cm²
    4. 3872cm²
25. Mr Mugo spends 25% of his salary on food, 35% on rent, 16% on fees and saves the rest which is sh 6000. What is his monthly salary?
    1. Sh 24000
    2. Sh 18000
    3. Sh 25000
    4. Sh 30000
26. A car travelling at a speed of 72km/h took one minute to cross a tunnel. How long is the tunnel in kilometres?
    1. 1200
    2. 1.2
    3. 7.2
    4. 72
27. Construct triangle EFG in which angle EFG = 60°, line EF = 6cm and FG = 7cm. Draw a circle touching the 3 vertices of the triangle. What is its radius?
    1. 7.6cm
    2. 2.1cm
    3. 4.2cm
    4. 3.8cm
28. The temperature of ice was 15°C below the melting point. After heating for 5 minutes the temperature rose to 48°C. What was the rise in temperature?
    1. 48°C
    2. 33°C
    3. 63°C
    4. 38°C
29. A room measured 8m in length, 6m in width and 5m in height. Windows and doors covered 14m2. If the inner walls were painted what was the area painted?
    1. 140m² 
    2. 236m²
    3. 126m² 
    4. 222m²
30. The sum of the area of the two squares formed on the two shorter sides of a right-angled triangle is 42.25cm². If its base length is 2.5cm. Calculate height of the triangle?
    1. 6.5cm
    2. 4cm
    3. 8cm
    4. 6cm
31. How many cubes are used to make the stack below?
    
    
    1. 88
    2. 84
    3. 80
    4. 120
32. In a school, lessons take 45 minutes. The lessons start at 8:20 am and ends at 3:20 pm. All the breaks take 2½ hours. How many lessons are there in a day?
    1. 7
    2. 8
    3. 6
    4. 9
33. Joseph is twice as old as Sarah and Hillary is 6 years younger than Joseph. If Sarah is y years. Write an expression to show the sum of their ages in two years time?
    1. 5y + 6
    2. 5y− 6
    3. 5y
    4. 5y + 12
34. Work out 45.6 + 0.24 x 7.2  − 4.5
                              0.36 x 0.96
    1. 46.1
    2. 123.92
    3. 63.62
    4. 41.1
35. Simplify:²/₅ (25x − 20) − 3(¹/₃x+1)
    1. 11x − 11
    2. 11x − 5
    3. 9x − 11
    4. 9x− 5
36. The sum of three consecutive odd numbers is 111. Which is the smallest number among them?
    1. 36
    2. 35
    3. 37
    4. 39
37. What is the area of the shaded part in the figure below?
              
    
    1. 56cm²
    2. 112cm²
    3. 196cm²
    4. 98cm²
38. In a class two fifth are boys. If there are 18 girls, how many more girls than boys are in that class?
    1. 12
    2. 3
    3. 9
    4. 6
39. A trader bought 500 oranges for sh 4000.During the transportation 20 of them got spoilt. She sold the remaining in piles of 3 at sh 30. What percentage profit did she make?
    1. 10%
    2. 25%
    3. 20%
    4. 15%
40. A family uses three - 200ml packets of milk everyday. How many litres of milk does the family use in the month of January and February 2020?
    1. 36
    2. 360
    3. 18
    4. 35.4
41. After a salary increase of 20%, Jane now earns sh 10728. How much did she earn before the increase?
    1. Sh 7152
    2. Sh 8940
    3. Sh 1788
    4. Sh 12873.60
42. In the figure below line WX is parallel to YZ. Line YX bisect angle WYZ. Line MW = MX, angle WYX = 25°.
    
    Find angle YXZ.
    1. 50°
    2. 750°
    3. 1050°
    4. 80°
43. The hire purchase price of a TV set is 15% more than the marked price. The marked price is sh 20000. When buying through hire purchase, a deposit is required followed by monthly instalments of sh 1050 for 18 months. How much deposit is required?
    1. sh 1100
    2. sh 2100
    3. sh 3100
    4. sh 4100
44. What is 12.5% as a fraction in simple form?
    1. ¼
    2. ¹/₈₀
    3. ¹/₈
    4. ¹/₄₀
45. The net below was folded to form a solid.
    
    What is the sum of faces and vertices of une solid forined?
    1. 11
    2. 10
    3. 12
    4. 9
46. What is the sum of the next two numbers in
    7, 14, 25, 38,___,___
    1. 129
    2. 124
    3. 123
    4. 127
47. The perimeter of the figure below is 50cm.
    
    Calculate its area.
    1. 60cm²
    2. 120cm²
    3. 80cm²
    4. 90cm²
48. What is the capacity of the through drawn below in dl?
               
    
    1. 2.31
    2. 2310
    3. 231
    4. 23100
49. A lorry was loaded with 40 bags of beans each weighing 110kg. When half of the was off loaded, the lorry weighed 5.7 tonnes.  What is the mass of the empty lorry? 
    1. 3.5t
    2. 3t
    3. 3.2t
    4. 3.7t
50. The graph below shows thea number of pupils who were present in a class of 50 pupils in one week.
    
    What is the average number of pupils who were present that week?
    1. 231
    2. 3.8
    3. 19
    4. 46.2