Mathematics Questions and Answers - Grade 7 Opener Exams Term 2 2023 Set 4

QUESTIONS

1. A school paid a total of six million nine hundred and forty three thousand eight hundred and two shillings as salary to its workers. How much is this in symbols! (2 marks)
2.  In 2022, a total of 876493 registered voters renewed their identification cards. By how many times is the total value of digit 6 greater than the total value of digit 3? (2 marks)
3. In the number sequence below, what is the product of the next two numbers! 101, 89, 79, 71, 65, .......... , ............
4. What is 4456263 rounded off to the nearest millions? (2 marks)
5. Work out the area of the unshaded part? (2 marks)
   
6. A bottle had I litre of water. Anita used 0.375 litres of it and later added 0.2054 litres. How much water was left in the bottle? (2 marks)
7. Arrange the following fractions from in descending order ²/₈ , ⁶/₁₂, ⁵/₈, ⁷/₁₆  (2 marks)
8. In Greens Schools, 756 learners of the school population are boys. If the school has a total of 1800 learners, write the percentage that represents girls.
9. A number is divisible by 4 if (2 marks)
10. Express 210 as a product of its prime factors. (2 marks) 
11. Three students planted trees in one month. Athil planted 12 seedlings, Mary planted 48 seedlings and Musau 84 seedlings. Find the greatest number that can divide the three numbers without a remainder. (2 marks)
12. Anna walked a distance of 2km 345m to church and 3km 850m back home. Calculate the total distance that she walked. (2 marks)
13. Work out: 40+⁵/₁₃ (2 marks)
14. ⁷/₁₂ Kilogram of fertilizer was applied in ¹/₄ hectares of land. How many kilograms did he apply in one hectare! (2 marks)
15. Work out 4.3 x 81.22 (2 marks)
16. What is 1-¹/₈ (2 marks)
17. Mary saw the following mixed number on the flash
    
    Write the number as a decimal number.
18. A fruit vendor bought 150 fruits for sale at sh. 25 each. 28 fruits fell on the way. At what price is he supposed to sell each of the remaining fruits to make a profit of sh. 1130?
19. Using the digits 781568. form the largest number and the smallest number. What is the difference of the two numbers?
20. Use the time shown below to answer question 20 and 21.
    
    Tracy, finished reading at the time shown above. What time was it? (2 marks)
21. If Tracy read for 1 hour 45 minutes, at what time had she started reading? (2 marks)
22. Three athletes participated in a competition. Tuja had x points, Joy had 2 more points than Tuja and Faraj has twice Tuja's points. How many points did they get altogether? (2 marks)
23. James went to sleep at 11.02pm. He woke up at 2.26am. How long did he sleep?
24. Write an equivalent fraction of ⁷/₈
25. Biwot went to the shop and bought the following items:
    2kg of rice of rice for sh. 150
    ¹/₄ kg of cooking fat for sh. 70
    1 kg of sugar at sh. 120
    ¹/₂ kg of tea leaves for ksh.150
    If Biwot paid for the items using 2-500 shillings notes, how much was his balance? (2 marks)
26. Find the volume of the figure below in m² (2 marks)
    
27. Work out:             (2 marks)
    WEEKS     DAYS
       1                3
        x               5
                          
28. If 36% of Khadija's books is 180, how many books does Khadija have (2 marks)
29. Some learners used 2¹/₄ litre Containers to fill a 90 litre container. How many containers did they use to fill the Container?
30. During end term assessment, Ken got 9.6455 as her answer for number one. What was his answer rounded off to the nearest hundredths?
31. Khalid had ⁷/₈ of an orange. He gave ⁴/₅ to his friend and ate the rest. Write the fraction of the fruit that Khalid ate as a decimal.
32. A learner was asked to list all the prime numbers between 80 and 100. Which numbers did she write?
33. Kate is 51 years old. What is kate's age in roman numbers?
34. Maria wrote the fraction represented by letter y as a decimal. What answer did she get? (2 marks)
    
35. Round off 163.4545 to the nearest hundredths (2 marks)
36. Bill had 2y pencils. He lost 7 pencils and was left with more than 17 pencils. What is the value of y? (2 marks)
37. A trapezium has a height of 12m. It has a pair of parallel lines which measure 32m and 16m. What is the area of the trapezium in square metres?
38. Work out: 376 x 219
39. A farmer's piece of land is in the shape shown below
    
    One day the farmer walked round the figure twice. What distance did he cover? (2 marks)
40. Using a pair of compasses and a ruler, Construct a perpendicular line to meet AB from point C at D.
    
    Measure line AD and write your answer in millimetres. (2 marks)
41. Kim drew the following diagram in his exercise book.
    
    Find the product of all edges and vertices in the figure? (2 marks)
42. What is the value of 8¹/₃ - 2¹/₇
43. Henry drew the following triangle. Use it to answer the question that follow.
    
    What is the value of y and x? (2 marks)
44. Three light signals flash at intervals of 12 minutes, 18 minutes and 24 minutes. If they flashed together at 11:30am, at what time will they flash together again? (2 marks)
45. A bicycle wheel has a radius of 56cm. If the wheel turned 4 times, what distance did it cover in metres? (2 marks)
46. Find the value of y in : 2y+4y-16 = 20
47. The diagram below shows the two routes that Amy uses to go to school.
    
    One day Amy went to school in the morning via the church. In the evening she went home straight. What distance did she cover? (2 marks)
48. James a Grade six learners arranged some cubes and formed a stuck as shown below.
    
    How many cubes did James arrange? (2 marks)
49. What is the square root of √4096
50. The graph below shows the number of learners who were absent in a class of 46 learners.
    
    What is the total number of learners who were present that week? (2 marks)

MARKING SCHEME

1. 6943802
2. 2000
3. 3500
4. 4000000
5. 162 cm²
6. 0.8304
7. ⁵/₆, ⁷/₁₆, ⁶/₁₂, ²/₈
8. 58%
9. Its ones and tene digit are zero or form a number divisible by 4
10. 2×3×5×7
11. 12
12. 8 km 195 m
13. 104
14. ³/₇
15. 349.246
16. ⁷/₈
17. 2.25
18. sh 40
19. 730883
20. 5.30 pm
21. 3.54 pm
22. 4x+2
23. 3hrs 24 mine
24. ¹⁴/₁₆, ²¹/₂₄, ²⁰/₃₂ 
25. sh 510
26. 672 m²
27. 7 weeks 1 day 
28. 500 books
29. Assess
30. 9.65
31. 0.075
32. 83,89 and 87
34. 0.15
35. 163.45
36. y>12
37. 288 m² 
38. 82344
39. 180 m
40. Assess
41. 40
42. 6⁴/₂₁
43. y=35º    x =145°
44. 12:42 pm
45. 14.08 m
46. y=6
47. 26 km 400m
48. 60
49. 8
50. 196 leamers