Mathematics Questions and Answers - Class 7 End Term 2 2022 Set 1

Questions

1. Which of the following is six million, six hundred and six thousand and sixty six in numerals?
   1. 6 606 066
   2. 6 066 066
   3. 6006 606
   4. 6 606 660
2. How many hundreds are there in the total value of digit 5 in the number 8 534 217?
   1. 500
   2. 500 000
   3. 5 000
   4. 50 000
3. What is 59.34892 to the nearest thousandths?
   1. 59.3489
   2. 59.35
   3. 59.3
   4. 59.349
4. The area of a square plot of land is 676m. What is its perimeter?
   1. 52m
   2. 104m
   3. 208m
   4. 156m
5. What is the difference between the GCD of 12, 24 and 36 and the LCM of 12, 18 and 24?
   1. 60
   2. 84
   3. 48
   4. 12
6. What is the value of
   0.48 x 7.2 x 5.8 ?
     0.12 x 2.9
   1. 0.576
   2. 5.76
   3. 57.6
   4. 576
7. By selling a shirt at sh. 360, a trader made a loss of 20%. What was the buying price of a trouser?
   1. Sh 500
   2. Sh. 600
   3. Sh. 420
   4. Sh. 450
8. Find the perimeter of the rectangle shown Below if y=8.
   
   
   1. 29cm
   2. 58cm
   3. 116cm
   4. 84cm
9. What is the square root of the number obtained when 2 304 is divided by 4?
   1. 22
   2. 28
   3. 24
   4. 32
10. In the figure below line AB and AC are straight lines. Line PQ and line TS are parallel lines
    
    What is the size of angle BAC?
    1.  70°
    2.  60°
    3.  50°
    4. 40°
11. What is the next number in the pattern below?
    4,9, 25, 49 ___________
    1.  81
    2.  169
    3.  225
    4. 121
12. Arrange the fractions below in descending order: ¹³/₂₀, ⁴/₅, ³/₈, ³/₄
    1. ³/₈ , ¹³/₂₀ , ³/₄ , ⁴/₅
    2. ⁴/₅ , ³/₄ , ¹³/₂₀ , ³/₈
    3.  ⁴/₅ , ¹³/₂₀ , ³/₄  , ³/₈
    4. ³/₈ , ³/₄ , ¹³/₂₀ , ⁴/₅
13. What is the square root of 0.0169?
    
    1. 0.0013
    2.  0.013
    3. 0.13
    4. 1.3
14. The parallel lines of a trapezium are 18cm and 14cm respectively. The perpendicular distance between parallel lines is 12cm. What is its area? 
    1. 192cm²
    2. 210cm²
    3. 180cm²
    4. 160cm²
15. What is the circumference of a circle whose radius is 14cm?
    1. 44cm
    2. 22cm
    3. 176cm
    4. 88cm
16. Which of the following numbers is divisible by 11?
    1. 25 885
    2. 29 874
    3. 16 896
    4. 26 348
17. Which of the following will not form a right angled triangle?
    1. 7cm, 24cm, 25cm
    2. 7cm, 15cm, 17cm
    3. 5cm, 12cm, 13cm
    4. 9cm, 40cm, 41cm
18. Write 37.5% as a fraction in its simplest
    1. ³/₈ 
    2. ³/₅
    3. ³/₁₆
    4. ⁵/₈
19. The figure below is a cylinder.
    
    What is its volume?
    1. 16 420cm
    2. 18 520cm
    3. 13 200cm
    4. 27 720cm
20. Increase 500 by 20%
    
    1. 600
    2. 1 100
    3. 800
    4. 900
21. In a factory, 6 096 bottles of soda were packed in crates of 24 bottles each. How many crates were packed?
    1.  301
    2.  154
    3.  254
    4. 124
22. Linus bought a sofa set by paying a deposit of sh. 25 000 and eight monthly instalments of sh. 4 500 each. How much was the total cost of the sofa set?
    1. Sh. 61 000
    2. Sh. 36 000
    3. Sh. 54 000
    4. Sh. 76 000
23. Find the area of the shaded part in the figure below.
    
    
    1. 980cm²
    2. 806cm²
    3. 1 786cm²
    4. 174cm²
24. A family uses 3 - 2 dl packet of milk everyday. How many litres does the family use in a fort night?
    1. 841
    2. 8.41
    3. 0.841
    4. 8401
25. The area of a squate plot of land is 6.25ha. What is the length of the plot?
    1. 1 000m
    2. 250m
    3. 500m
    4. 125m
26. The circumference of a circle is 88m. What is the length of its radius?
    1. 28m
    2. 14m
    3. 7m
    4. 3.5m
27. Decrease 3 000 by 20%.
    1. 2 400
    2. 2 600
    3. 2 800
    4. 2 200
28. Ndeto bought 3 trays of eggs at sh. 300. During transportation 10 eggs broke, He sold the rest at sh. 12.00 each. If each tray holds 30 eggs, what was his percentage profit?
    1. 8%
    2. 5%
    3. 20%
    4. 6²/₃ %
29. What is the difference between the largest and the smallest number formed by the digits 9, 8, 5,0 and 7?
    1. 47 961
    2. 54 281
    3. 98 750
    4. 50 789
30. Eutychus was given a commission of sh.4 000 after selling goods worth 80 000. What was his percentage commission?
    1. 95%
    2. 20%
    3. 80%
    4. 5%
31. The figure below shows a rectangular piece of land. It was fenced using three strands of wire.
    
    If a 4m gate was left, what is the total length of wire used?
    1. 656m
    2. 660m
    3. 648m
    4. 560m
32. Find the area of the figure in centimetres.
    
    (Take π = 3.14)
    1. 24.0cm²
    2. 63.25cm²
    3. 48.25cm²
    4. 39.25cm²
33. What is the value of 168 008 +8?
    1. 21 001
    2. 2 101
    3. 211
    4. 210 001
34. What is the product of the vertices and faces of an open rectatigular prism?
    1. 48
    2. 64
    3. 40
    4. 56
35. What is the volume of a cylinder whose whose diameter is 28cm and a height of 15cm?
    1. 1 540cm³
    2. 9 240cm³
    3. 3 080cm³
    4. 1232cm³
36. Construct an equilateral triangle whose side is 6cm. Draw a circle that touches the vertices. Measure the radius.
    1. 42cm
    2. 1.6cm
    3. 2.5cm
    4. 3.5cm
37. Below are properties of a certain quadrilateral.
    1. All sides are equal.
    2. Diagonals are varied and bisect each. other at a right angle.
    3. Opposite angles are equal
       Which of the following quadrilateral is described above?
       1. Rhombus
       2. Parallelogram
       3. Rectangle 
       4. Trapezium
38. Simplify:
    5(2a + 3b) + 3(2a − 2b)
    1. 16a - 96
    2. 16a +216
    3. 16a - 216
    4. 16a + 9b
39. In a scale drawing, 1cm represent 1.2km, what is the real length of a drawing length of 15cm?
    1. 30km
    2. 18km
    3. 24km
    4. 21km
40. What is the value of:
    2b² - k
         P
    if b=4, k=2 and p= 5? 
    1. 5
    2. 7
    3. 6
    4. 8
41. Rose is x years old. Her father is ten times as old as Rose. How old will be her father in 20 years to come?
    1. 10x + 20
    2. x+ 20
    3. 10x - 20
    4. 11x + 20
42. A car travelling at a speed of 65km/hr took 2 ¹/₅ hours to complete a journey. How long was the journey?
    1. 165km
    2. 121km
    3. 135km
    4. 143km
43. Akamba bus left Eldoret at 11.50pm. It took 4 hours 55 minutes to travel to Nairobi. At what time did it arrive at Nairobi?
    1. 3.25am
    2. 4.45am
    3. 4.45pm
    4. 5.15am
44. The diagram below shows a semi circular log of wood.
    
    What is its surface area?
    1. 1 588cm²
    2. 1 604cm²
    3. 1 054cm²
    4. 1 440cm²
45. A tank is 1/3 full of water. After drawing 30  litres of water from the tank it became 1/4 full. How much does the tank hold when full?
    1. 360 l
    2. 180 l
    3. 450 l
    4. 540 l
46. Two bells P and Q ring after every two and three hours respectively. If they ring together at 9.30am, when will they ring together again?
    1. 3.30am
    2. 2.30pm
    3. 4.30am
    4. 3.30pm
47. Otieno deposited sh. 90 000 in a bank that paid simple interest at the rate of 8% p.a. How much money was in his account after 2½ years?
    1. Sh. 27 000
    2. Sh. 18 000
    3. Sh. 117 200
    4. Sh. 108 000
48. Mama Kawira bought the following items from a shop.
    3kg of sugar @sh. 110.00
    4 ½kg of rice @sh. 80.00
    3 packets of milk @sh. 50.00
    500g tea leaves for sh. 75.00
    How much was her total bill?
    1. Sh. 725
    2. Sh. 915
    3. Sh. 875
    4. Sh. 1 025
49. The pie chart below shows how Emily spends her sh. 36 000 salary.
    How much did she spend on school fees?
    1. Sh. 10 500
    2. Sh. 4 500
    3. Sh. 13 500
    4. Sh. 9 000
50. Paul scored as follows in his end of term exams.
    Mathematics - 56%
    Kiswahili - 30%
    English - 77%
    Science - 90%
    SST - 77%
    What was his mean score for the five exams?
    1. 66%
    2. 68%
    3. 62%
    4. 65%

Marking Scheme

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