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

1. What is three million four hundred and four thousand  five hundred and five in symbols?
   1. 3404505 
   2. 30404505
   3. 3044505
   4. 34004505
2. What is the place value of digit seven in the number  96.80075?
   1. Thousandths
   2. Hundredths
   3. Ten thousandths 
   4. Ten thousands
3. What is 456.98 rounded off to the nearest tenths?
   1. 457.00
   2. 457
   3. 467.00
   4. 457.0
4. What is;   in its simplest form?
   1. ¹⁴/₂₆ 
   2. ⁷/₁₃
   3. ⁷/₁₂
   4. ¹³/₂₄
5. What is the next number in the series?
   845, 805, 765, 725, _______
   1. 685
   2. 680 
   3. 645
   4. 700
6. Convert 2³/₅, into a decimal. 
   1. 0.26
   2. 2.6
   3. 0.0026
   4. 2.66
7. A newspaper vendor sells an average of 36 newspapers everyday. Each newspaper sells at sh.35. How much money does he receive in 28 days
   1. Sh.36000
   2. Sh.30240
   3. Sh.35280
   4. Sh.27280
8. The figure below represents a plot of land with semi-circular ends. 
   
   What is its perimeter?
   1. 264cm
   2. 300cm
   3. 164cm
   4. 564cm
9. What is the value of; 
   (2¹/₃ ÷ 4) ÷ ³/₄ ?
   1. ²/₃ 
   2. ¹/₄
   3. ⁸/₉
   4. 10²/₃ 
10. What is the value of;
    1.8 x 0.35  ?
    0.3 x 0.07 
    1. 30
    2. 3
    3. 13
    4. 140.3
11. The price of a book was sh.330 after a 12% deduction. What was the original price of the book? 
    1. Sh.375
    2. Sh.75
    3. Sh.15
    4. Sh.45
12. Using a ruler and apair of compasses, construct triangle XYZ such that XY = 5cm, YZ=6cm and angle XYZ=30°. Measure line XY.
    1. 5cm
    2. Зcm 
    3. 4cm
    4. 6cm
13. Trees are planted 24m apart on both sides of a road 12km long. Each seedling costs sh. 15. What is the total cost of the seedlings? 
    1. Sh.15000
    2. Sh.15030
    3. Sh.7515
    4. Sh.7530
14. An empty pick-up has a mass of 1.2 tonnes. It is loaded with 90kg bags of maize until the weight becomes 4.8 tonnes. What is the total number of bags loaded into the pick-up?
    1. 400
    2.  40
    3.  20
    4. 200
15. What is the value of x in the equation?
    4(2x + 6) − 10 = 30 
    1. 2
    2. 8
    3. 5½
    4. 16
16. The fractions ¹/₂, ⁵/₈, ³/₄, ²/₅  and ?, are to be arranged in order from the smallest to the largest. Which one of the following is the corect order?
    1. ²/₅, ¹/₂, ³/₄, ⁵/₈ 
    2. ³/₄, ⁵/₈, ¹/₂, ²/₅ 
    3. ²/₅, ⁵/₈, ¹/₂, ³/₄ 
    4. ²/₅, ¹/₂, ⁵/₈, ³/₄ 
17. Hamisi had sh.4800. He spent 60% of the money on buying some items. How much money was he left with?
    1. Sh.2880
    2.  Sh.1920
    3.  Sh.4860
    4. Sh.4740
18. One bell rings at intervals of 30 minutes and another at intervals of 40 minutes. If they are rung at 7.55am together, when will they ring together again?
    1. 8.55 am
    2. 10.55am
    3. 9.55am
    4. 9.55pm
19. A mother bought the following items from the market;
    3kg of potatoes @ sh.15
    2kg of tomatoes @sh.30
    ¹/₂ kg of onions @sh.50 per kg
    8 oranges @sh.5
    She gave the seller a 500 shillings note. What balance did she get?
    1. Sh.170
    2. Sh.330
    3. Sh.305
    4. Sh.335 
20. In a mixed school, there are 720 pupils. If 450 are girls, what percentage are boys?
    1. 37½%
    2. 62½%
    3. 27%
    4. 38½%
21. What is the value of;
    ¹/₄ ÷ ¹/₂ of ¹/₂ + ²/₃ + (²/₃ − ¹/₆)
    1. 2¹/₆ 
    2. 1¹/₆ 
    3. ³/₄ 
    4. ⁹/₁₆ 
22. The area of the trapezium JKLM drawn below is 544cm². Line JK is parallel to line LM and line JM is the perpendicular distance
    
    What is the length of line KL?
    1. 28cm
    2. 12cm
    3. 16cm
    4. 20cm 
23. The area of a square plot of land is 576cm². What is the measure of one of its sides? A
    1. 14cm
    2. 24cm
    3. 34cm
    4. 20cm 
24. Somo deposited sh.10800 in a bank which paid simple interest. At the end of the tenth month, he withdrew a total of sh.11340. At what rate per annum was the interest charged?
    1. 6%
    2. 0.5% 
    3. 12.6%
    4. 10% 
25. In the figure below, line AB is parallel to line DC and EF is a straight line.
    
    Which one of the following statements is correct about the figure?
    1. Angle a and angle e = 180°
    2. Angle e and angle f = 180° 
    3. Angle b = angle g
    4. Angle h = angle a
26. During drought, a camel lost 16kg. What was the percentage decrease if the mass of the camel is now 144kg?
    1. 10%
    2. 0.5%
    3. 12.6%
    4. 10%
27. Express 32½ as a fraction and simplify.
    
    1. ¹³/₄₀
    2. ¹³/₂₀  
    3. ⁵/₄₀
    4. ⁶⁵/₂₀₀  
28. A book is made up of 810840 words. In every page there are 6757 words. How many pages does the book have?
    1. 465
    2. 126
    3. 146
    4. 456 
29. What is the perimeter of the figure below if its radius is 3.5m? (Take π = ²²/₇)
    
    
    1. 36m
    2. 18m
    3. 29m
    4. 14.5m 
30. Which one of the following number is not divisible by 11?
    1. 57640
    2. 86284
    3.  11995
    4. 41536  
31. What is the value of
      rpg - 4q  
      4p - 3p
    given that r=2, p=2r and q = p+2 A.==
    1. 1²/₃
    2. 1¹/₃ 
    3. 2¹/₃
    4. 2²/₃ 
32. A factory produced 40.4 tonnes of maize in January. The maize wes packed in 100kg bags and sold at sh.1000 each. How much money was obtained? 
    1. Sh.4040000
    2. Sh.4040
    3. Sh.40400 
    4. Sh.404000
33. What is the sum of prime number between 60 and 80?
    1. 480
    2. 491
    3. 351
    4. 424
34. Lucy spends ¹/₄  of her salary on rent, ¹/₈ on transport and ²/₇ on food. If she saves the remaining amount, what fraction of her salary does she save?
    1. ²⁹/₃₆ 
    2. ⁷/₉
    3. ²⁷/₅₆ 
    4. ⁹/₁₄ 
35. Atieno is paid 2275min in a week for the job she does. How much money did she earn in a week that she missed going for the job three times?
    1. Sh.1300
    2. Sh.975
    3. Sh.758.30
    4. Sh.568.75
36. A section of a road 9km long was drawn on a map using a scale of 1:100000. What was the measure of the drawing on the map?
    1. 4.5cm .
    2. 3.5cm
    3. 18cm
    4. 9cm
37. The figure below represents Ongwae's piece of land 
    
    What is the area of Ongwae's piece of land in hectares? (Take π = 3.14)
    1. 107808
    2. 130416 
    3. 10.7808 . 
    4. 13.0416 
38. A saleslady is given a commission of 7% on the value of goods she sells. In a certain month, she sold goods worth sh.110000. How much money did she earn that month?
    1. Sh.8400
    2. Sh.7700
    3. Sh.12500
    4. Sh.9600 
39. A certain job can be done by 12 men in 16 days. How many days.can 8 men working at the same rate take to finish the job? 
    1. 27
    2. 18
    3. 10
    4. 24 
40. Calculate the capacity in litres of a rectangular water tank that measures 1.5m by 0.8m by 60cm.
    1. 7.2
    2. 0.72
    3. 720
    4. 7200
41. What is the total surface area of the closed cuboid shown below?
    
    1. 25920cm
    2. 5652cm
    3. 6354cm
    4. 26280cm
42. A bus travelled from Kismayu to Dahola, a distance of 32km/hr between 8.30am and 1.00pm. Calculate its speed in m/s. 
    1. 20m/s
    2. 66½ m/s
    3. 72m/s
    4. 108m/s
43. The mean mass of 6 boys is 48kg. If the seventh boy is added, the mean becomes 47.5kg. What is the mass of the seventh boy? 
    1. 44.5kg
    2. 56kg
    3. 49.5kg
    4. 38kg .
44. In the figure below, line RQ = 17cm, line RP = 15cm and angle RPQ = 90°. What is the area of triangle PQR?
    1. 68cm²
    2. 127.5cm²
    3. 96cm²
    4. 60cm² 
45. The market price of a jacket was sh. 1800. Kim bought it on cash and he was given a discount of 5%. How much did he pay for the jacket?
    1. Sh.90
    2. Sh.1710
    3. Sh.1890
    4. Sh.1620
46. Find the circumference of the circle given below. (Take π = ²²/₇)
    
    1. 38cm
    2. 11cm
    3. 22cm
    4. 44cm
47. A train leaves town A at 11.05am and takes 13hrs 45min to reach town B. At what time did it reach town B? 
    1. 11.48am
    2. 12.48pm
    3. 1.48am
    4. 0048hrs 
48. A school has 240 pupils in lower primary. This is 60% of the total number of pupils in the school. How many pupils are there in upper primary?
    1. 300
    2. 340
    3. 160
    4. 400
49. A teacher had 15½m of cloth. She gave each of her 4 pupils 3½m of the cloth each. What length of cloth was she left with?
    1. 1½
    2. 8¼
    3. 1¹/₃
    4. 2½
50. What is the next shape in the pattern below?
    
    
    

MARKING SCHEME

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