Mathematics - Class 7 End Term 1 Exam 2021 SET 2

1. What is nine million one hundred and nine thousand and nine written in symbols?
   1. 9100909
   2. 9109009
   3. 9019009
   4. 9010909
2. In a polling station the number of registered voters was 679495. What was the number rounded off to the nearest ten thousands?
   1. 680000
   2. 679000
   3. 700000
   4. 679500
3. What is the sum of the total values of digits 6 and 2 in the number 864280?
   1. 6020
   2. 60200
   3. 860200
   4. 62000
4. What is the value of 96120 divided by 24?
   1. 4005
   2. 405
   3. 45
   4. 40005
5. What is the value of ¹/₈ + (¹/₃ ÷ ¹/₆) ?
   
   1. 2¹/₆ 
   2. 4¹/₂₄
   3. 2¹/₈
   4. ⁵/₈
6. What is the place value of digit 4 in the number 58.3948?
   1. Thousandths
   2. Hundredths
   3. Ten thousandths
   4. Tens
7. What is the circumference of the circle drawn below?
   
   
   1. 220m
   2. 290m
   3. 110m
   4. 255m
8. A hotel buys 41.5 litres of milk every day. How many litres of milk did the hotel buy in the month of January, February and March year 2021?
   1. 3776.51
   2. 37351
   3. 38181
   4. 3776.251
9. The figure below shows angles formed by two intersecting lines.
   
   Which of the following pair of angles are vertically opposites?
   1. f and h
   2. gandh
   3. f and g
   4. e andf
10. What is the next number in the series
    12, 14, 17, 22, 29 _____ ?
    1. 38
    2. 42
    3. 40
    4. 46
11. What is the actual length of a road in kilometres that measures 4cm on a map drawn to a scale of 1:400000?
    1. 160km
    2. 1.6km
    3. 16kom
    4. 0.16 km
12. A sales lady salary of sh 4000 was increased by 16%. What was the new salary of the sales lady?
    1. sh. 640
    2. sh. 3360
    3. sh. 4640
    4. sh. 10460
13. A dairy company donated 60 carton of milk to a pre-school. If each carton contained 80-2dl packet of milk, how many litres of milk was donated?
    1. 9.6
    2. 9600
    3. 96
    4. 960
14. The perimeter of a square plot of land is 216m. What is the area of the plot quare metres?
    1. 2816²
    2. 864m²
    3. 2916m²
    4. 46656m²
15. Muli bought the following items from a supermarket.
    1kg sugar @sh. 115
    ½kg rice @sh. 110
    2kg maize flour for sh. 130
    2 loaves of bread @sh. 45
    If he paid using sh. 1000 note, how much balance did he get back?
    1. sh. 725
    2. sh. 610
    3. sh. 275
    4. sh. 390
16. Which of the following statement is incorrect about an equilateral triangle?
    1. All sides are equal
    2. Sum of angles add upto 180°
    3. All angles are equal
    4. Base angles are equal
17. A train left Nairobi at 6.15pm and took 2¼ hrs to reach Mombasa. At what time in 12 hour clock system did it reach Mombasa?
    1. 8.30am
    2. 7.45pm
    3. 8.30pm
    4. 7.45am
18.  A motorist drove from Nakuru to Naivasha town a distance of 360km taking 4 hours. What was the average speed in kilometres per hour for the joumey?
    1. 9km/hr
    2. 20km/hr
    3. 90km/hr
    4. 80km/hr
19. What is the L.C.M of 30, 40 and 60?
    
    1. 10
    2. 120
    3. 240
    4. 180
20. The table below shows number of eggs sold by a vendor in a week.
    

    Days	Mon	Tue	Wed	Thur	Fri	Sat	Sun
    No. sold	22	16	22	17	24	20	26

    What is the mean number of eggs sold in the week?
    1. 22
    2. 17
    3. 21
    4.  20
21. Using a ruler and a pair of compass construct triangle XYZ such that line XY=8cm, YZ=7cm and XZ = 6.5cm. Measure the size of angle YZX.
    1. 58°
    2. 105°
    3. 75°
    4. 47°
22. Which of the following is the correct order ³/₅, ⁵/₈, ⁷/₁₀, and ½ of arranging from the largest to the smallest?
    1. ½, ³/₅,⁵/₈, ⁷/₁₀
    2. ³/₅, ⁷/₁₀, ⁵/₈, ½
    3. ½, ⁷/₁₀, ⁵/₈, ³/₅
    4. ⁷/₁₀, ⁵/₈, ³/₅, ½
23. The table below show time table of a bus between different towns
    

    Town	Arrival time	Departure time
    Nairobi   Naivasha   Gilgil  Nakuru  Eldoret	_________  10.25pm  12.10pm  1.50pm  2.45pm	9.10am  10.40am  12.25pm    2.10pm   __________

    How long did the bus take to travel from Naivasha town to Nakuru?
    1. 3¹/₆ hrs
    2. 1⁵/₆ hrs
    3. 3½ hrs
    4. 2¾hrs
24. What is the difference between the L.C.M of 15, 20 and 25 and the G.C.D of 45, 75 and 90?
    1. 315
    2. 10
    3. 85
    4. 285
25. A lorry is carrying 90 cartons each holding 40 tins of cooking fat. If each tin weighs 500g, what was the total mass of tins in kilograms?
    1. 1.8kg
    2. 180kg
    3. 1800kg
    4.  0.18kg
26. In a class the number of boys is ¹/₃ and the rest are girls. If there were 40 girls in the class, how many pupils were there in total/
    1. 60
    2. 35
    3. 75
    4. 90
27. A lady sold milk from 12^th January to 9^th March 2020. For how many days did she sell the milk?
    1. 58
    2. 59
    3. 57
    4. 56.
28. The figure below represents a stack made of cuboids.
    
    How many cuboids are used to make the stack drawn above?
    1. 33
    2. 32
    3. 30
    4. 27
29. Using a ruler and a pair of compass construct triangle MNT such that line MN=5cm, NT=4 cm and angle MNT=120°. Bisect angle MNT and let the bisector meet line MT at S Measure the length of line MS.
    1. 4.3cm
    2. 7.8cm
    3. 2.3cm
    4. 3.4cm
30. The figure below shows a school ground.
    
    An athletee run all round the field two times, how many metres did he cover? (Take π=²²/₇)
    1. 400m
    2. 526m
    3. 800m
    4. 1052m
31. What is 7.5% written as a fraction to its simplest from possible.
    1. ¹⁵/₂
    2. ¾
    3. 7½
    4. ³/₄₀
32. The table below shows postal rates for sending money order. 
    

    Order value in shs.	Commission
    Not exceeding 500 500 - 1000 1001 -3000 3001 - 5000 5001 - 10000 10001 - 20000 20001 - 30000	sh. 42   sh. 144   sh. 174   sh. 209   sh. 295    sh. 441   sh. 617

    
    A father sent school fees for his two children as follows sh. 10500 and sh. 17400 respectively. How much commission did he pay at the post office?
    1. sh. 617
    2. sh. 1058
    3. sh. 736
    4. sh. 882
33. What is the value of   
    
    
    1. 6²/₃
    2. 4
    3. 3
    4. 2
34. What is the value of   16.42 − (3.16 + 8.4)  
                                                   2.43
    1. 0.2
    2. 200
    3. 2
    4. 20
35. A staff meeting ended at 5.00pm after taking 5 hours 55 minutes. At what time did the meeting started? 
    1. 12.55pm
    2. 11.05am
    3. 12.05pm
    4. 11.55am
36. The figure below shows a rectangular tank.
    
    If the tank is to be filled with water using 50 litres container, how many containers will be required to fill the tank?
    1. 240
    2. 160
    3. 480
    4. 320
37. A square garden has an area of 10.24m². What is the length of each side in centimetres?
    1. 3.2cm
    2. 3200cm
    3. 320cm
    4. 32cm
38. Work out the value of 2²/₃ × 3½?
    1. 6¹/₃
    2. 6²/₃
    3. 9¹/₃
    4. 3¹/₉
39. In a harambee there were 850 adults and 457 children. If each adult contributed sh. 200 and each child contributed sh. 100, how much money was collected altogether?
    1. sh. 215700
    2. sh. 176400
    3. sh. 91400 
    4. sh. 21750
40. What is the value of 5(3y - 2x) - 13y + 6x to its simplest form possible?
    1. 28y + 4x
    2. 2y + 4x
    3. 2y − 4x
    4. 28y + 16x
41. The pie chart below shows how a lady spent her salary.
    
    If her salary was sh. 56000, how much money did she spent on rent?
    1. sh. 21000
    2. sh. 14000
    3. sh. 28000
    4. sh. 32000
42. What is the area of the triangle drawn below.
    
    
    1. 720m²
    2. 270m²
    3. 432m²
    4. 216m²
43. Joel got 80% of the total marks in the end term examination. If the total marks was 500, how many marks did he lose on the examination?
    1. 100
    2. 140
    3. 400
    4. 360
44. What is the value of t in the equation
    4t − 6 + 36t = 60?
    1. 1¾
    2. 1¹⁷/₂₀
    3. 1³/₅
    4. 1¹³/₂₀
45. The price of a text book is sh. 600. If the price was decreased by 15%, what was the new price of the book? 
    1. sh. 570
    2. sh. 690
    3. sh. 450
    4. sh. 510
46. The diagram below shows a cuboid whose length is 0.48m and a width of 0.25m.
    
    If its volume is 0.042m³, what is the length of its height (h) in centimetres?
    1. 55cm
    2. 38cm
    3. 35cm
    4. 28cm
47. A vendor sold 2500 copies of daily nation news paper at sh. 70 each. If the vendor got 8% of the total sales, how much money did the vendor receive from the sales?
    1. sh. 50000
    2. sh. 14000
    3. sh. 35000
    4. sh. 70000
48. In the figure below line AB = AC, angle ABC=50°, angle ECA=15° and angle BAD= angle DAC.
    
    What is the size of angle AEC?
    1. 30°
    2. 25°
    3. 15°
    4. 20°
49. In the figure drawn below, the radius of the circle is 35cm with a centre O.
    Take π = ²²/₇
    
    What is the area of the shaded part?
    1. 3850cm² 
    2. 2450cm²
    3. 1400cm²
    4. 700cm²
50. The bar graph drawn below shows amount of rainfall recorded in a week.
    
    What was the amount of rainfall recorded in the last four days of the week?
    1. 1055mm
    2. 2250mm
    3. 1100mm
    4. 1150mm

MARKING SCHEME

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