Mathematics Questions and Answers - Class 7 End Term 3 Exam 2022 Set 1

QUESTIONS

1. Which of the following number is eleven million eleven thousand one hundred and one in symbols?
   1. 11 011 011 
   2. 11 110 101
   3. 11 011 101 
   4. 11 101 101
2. What is the total value of digit 6 in the number 23. 7568?
   1. 0.06
   2.    6   
      1000
   3. Thousands
   4. Six ten thousands
3. Round off 9.9974 to the nearest hundredths
   1. 10.00
   2. 9.99
   3. 10
   4. 9.997
4. The perimeter of the square below is 216cm. Find its area.
   
   
   1. 54cm²
   2. 270cm²
   3. 46656cm²
   4. 2916cm²
5. Find the sum of the next two numbers in the pattern.
   3, 5, 8, 13, 20, .... , .....
   1. 69
   2. 31
   3. 44
   4. 75
6. What is the least number that can be added to 8673 to make it divisible by 11?
   1. 6
   2. 5
   3. 9
   4. 4
7. Work out: 
   1. 20
   2. 16
   3. 25
   4. 200
8. Arrange the fractions ⁵/₆, ³/₄, ⁷/₈ and ⁹/₁₁ from the largest to the smallest. 
   1. ³/₄,⁹/₁₁,⁵/₆, ⁷/₈
   2.  ⁷/₈,⁵/₆,⁹/₁₁,³/₄
   3. ³/₄,⁵/₆,⁷/₈,⁹/₁₁,
   4. ⁹/₁₁,⁷/₈,⁵/₆,³/₄
9. Work out 14.57 + 8.769 +2.8562 and give your answer to two decimal places.
   1. 26.1952
   2. 26.19
   3. 26.20
   4. 26.2
10. Convert 22½%  into decimals
    1. 22.5
    2. 0.0225
    3. 0.45
    4. 0.225
11. Find the sum of GCD and LCM of 16, 24 and 32.
    1. 96
    2. 104 
    3. 108
    4. 144
12. Find the square root of 11¹/₉
    1. 3¹/₃
    2. 1¹⁰/₃
    3. ³/₁₀
    4. 3¹/₉
13.  Alice sold a bicycle for sh 7600 making a loss of 20%. How much loss did she make?
    1. Sh 9 500
    2. Sh 1 520
    3. Sh 1 900
    4. Sh 1 420
14. What is the circumference of the figure below?
    
    
    1. 44cm
    2. 100cm
    3. 22cm
    4. 78cm
15. Find the sum of all faces, edges and vertices of an open cuboid.
    1. 26
    2. 24
    3. 25
    4. 14
16. Work out: 11¹/₄ + 20¹/₄ + 1⁴/₅.
    1. 22¹/₄
    2. 22¹/₂
    3. 17¹/₂
    4. 11¹/₄
17. A shopkeeper packed 45¹/₂kg of sugar into half kilogram packet. How many packets did he obtain?
    1. 90
    2. 46
    3. 23
    4. 91
18. Find the area of the triangle below.
    
    
    1. 130 cm²
    2. 240 cm²
    3. 120 cm²
    4. 260 cm²
19. Work out: √(0.36x1.44) 
    1. 0.072
    2. 0.6
    3. 0.72
    4. 1.2
20. After an increase of 30%, Mathai's salary became sh 32 240. What was the salary before the increase?
    1. Sh 22 568
    2. Sh 24 800
    3. Sh 28 240
    4. Sh 41 912
21. Nana is thrice the age of Leah, their sum age is 64 years. How old is Leah?
    1. 16
    2. 48
    3. 15
    4. 24
22. Work Out 1.08 x 0.32
                    0.048 x 3.6
    1. 0.2
    2. 2
    3. 20
    4. 0.02
23. Rudisha went round the field drawn below 6 times. What distance in kilometres did he cover
    
    
    1. 420
    2. 2.52
    3. 4.2
    4. 3.36
24. The scale of a map is 1:400000. What length would represent 16km
    1. 40cm
    2. 4cm
    3. 0.4cm
    4. 8cm
25. How many group of hundreds are there in the total value of digit 7 in 476935?
    1. 70
    2. 700
    3. 7000
    4. 70000
26. Which set of measurements below will not form a right-angled triangle?
    1. 1.2cm, 1.6cm, 2.0cm
    2. 5cm, 12cm, 13cm
    3. 3cm, 6cm, 8cm
    4. 3cm, 7.2cm, 7.8cm
27. Which one of the following statements is not correct?
    1. ¹/₄ >0.25%
    2. 0.66 < ²/₃
    3. 12.5% = ¹/₈
    4. 0.5<¹/₂
28. Simplify 2(3a + 5) +3 (a -3)
    1. 3a + 19
    2. 9a +8
    3. 9a + 1
    4. 9a + 2
29. Kamau borrowed sh 7200 from a bank that charged simple interest at a rate of 15% p.a. How much did he pay to the bank altogether after 8 months? 
    1. Sh 720
    2. Sh 7 920
    3. Sh 8 820
    4. Sh 8 280
30. Find angle ABC in the figure below.
    
    
    1. 40°
    2. 60°
    3. 50°
    4. 70°
31. Find the value of x in 2x + 3 = x + 8
    1. 5
    2. 11
    3. 3
    4. 1²/₃
32. Simplify 12 <2m +4
    1. M<4
    2. m> 4
    3. M<2
    4. M <8
33. Construct an isosceles triangle XYZ such that YZ = 8cm and angle XYZ = YZX = 45°, what is the length of line XZ?
    1. 6.1 cm
    2. 5.6 cm
    3. 6.5cm
    4. 5.0cm
34. Kennedy paid sh 8550 for a bicycle after he was allowed a discount of sh 450. What percentage discount was he offered?
    1. 5%
    2. 10%
    3. 7.5%
    4. 5.26%
35. A cyclist covered a distance of 108km in 3 hours. What was the speed in m/s? 
    1. 36m/s 
    2. 129.6 m/s 
    3. 10 m/s
    4. 90 m/s
36. What is the value of angle p in the following diagram
     
    1. 115º
    2. 130º
    3. 65º
    4. 180°
37. 2.5 tonnes of tea leaves were packed into 500g packets. How many packets were obtained altogether?
    1. 50000
    2. 5000
    3. 2500
    4. 500
38. Calculate the area of the unshaded part in the figure below.
    
    
    1. 952cm²
    2. 1280cm²
    3. 328cm²
    4.  272cm²
39.  What is the complement of 37²/₃º?
    1. 53¹/₃º
    2. 52¹/₃º
    3. 143¹/₃º
    4. 142¹/₃º
40. Kasim did six science tests and scored as follows 48%, 68%, 56%, 80%, 86% and 76%. What was his mean score?
    1. 76%
    2. 59%
    3. 68%
    4. 69%
41. Convert 3¹/₂ days into minutes
    1. 84
    2. 5040
    3. 210 
    4. 12600
42. Jane bought the following items from a shop:
    2kg of sugar @sh 120
    2 loaves of bread at sh 50
    1¹/₂ kg of salt at 40
    3¹/₂ kg packets of maize flour for 210
    How much did she pay for the items?
    1. Sh 610
    2. Sh 820
    3. Sh 1030
    4. Sh 590
43. What is the surface area of the solid drawn below?
    
    
    1. 3080cm²
    2. 880cm²
    3. 1034cm²
    4. 1188cm²
44. In a school there are 360 pupils ²/₅ of the pupils are girls. How many boys are there? 
    1. 144
    2. 216
    3. 72
    4. 288
45. Three bells are set to ring at intervals of 20 min, 30 and 40 min. The bells rang first at 8:00 am. When will they ring together next?
    1. 9:20 am 
    2. 10:30 am 
    3. 10:00 am
    4. 9:30 am
46. The price of a dress was sh1 500. If it was reduced by 20%. What was the new price of the dress? 
    1. Sh 1,800
    2. Sh 800
    3. Sh 1,440
    4. Sh 1,200
47. A pupil folded a wire to make the shape shown below. What was the length of the wire?
    
    
    1. 44cm
    2. 58cm
    3. 72cm
    4. 116cm
48.  A family consumes two-5di packets of milk daily. How many litres did the family consume in the first three months of 2019?
    1. 450
    2. 45
    3. 900
    4. 90
49. What is the measure of the angle marked W in the figure below?
    
    
    1. 130° 
    2. 50°
    3. 180°
    4. 70°
50. The graph below shows the journey of a motorist from home to the town a distance of 60km.
    
    How far from town was he at 9:45am?
    1. 40km
    2. 60km
    3. 20km
    4. 30km

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