Mathematics Questions and Answers - Class 7 End Term 2 Exam 2021 Set 2

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