Mathematics Questions and Answers - Class 7 End Term 3 Exam 2022 Set 2

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. 9 
    3. 0.9 
    4. 1.3
17. What is the perimeter of the figure below.
    
    
    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?
    
    
    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.
    
    
    1. 420
    2. 210
    3. 211
    4. 421
23. What is the area of the figure below in M² (π 3.14)
    
    
    1. 56m²
    2. 39 ½ m²
    3. 39 ¼
    4. 95. 25m²
24. What is the area of the figure below in HM2 (Hectometre).
    
    
    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.
    
    
    1. 3456
    2. 0.36
    3. 0.3456 
    4. 1728
26. Find the total surface area of the wedge below.
    
    
    1. 336cm²
    2. 288cm²
    3. 360cm²
    4. 384cm²
27. What is the total surface area of the solid shape below.
    
    
    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 _
    
    
    1. 4
    2. 36 
    3. 8 
    4. 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 
    2. 4 
    3. 2⁄3 
    4. -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

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