Mathematics Questions and Answers - Grade 7 End Term 1 Exams 2023 Set 1

QUESTIONS

1. A total of 8303409 people registered as voters in a certain country. How many people registeres as voters in the country in word?
2. In a certain country, 368942352 bags of fertilizer were given to farmers in 2022. What is the place value of digit 6 in the number?
3. Express 72 as a product of its prime factors.
4. Using a protractor, measure angle STU below and give your answer in degrees.
   
5. Round off 5814567 to the nearest hundred thousands.
6. Omondi was asked by his teacher to list all the prime numbers between 90 and 100. Which numbers should Omondi write?
7. Four hundred and forty five thousand eight hundred and one shillings was shared among eighty nine workers. How much did each worker get?
8. What is the reciprocal of ⁷/₆?
9. Two daughters took two materials of length 30m and 45m. If the material was shared among several women, write the highest number of women that can share the material without a remainder.
10. What is the product of the faces and vertices of the figure below?
    
11. A water tank has a capacity of 7500 litres. A family uses 356 litres of water daily. How many litres of water remained in the tank after 18 days?
12. A constituency has 719944 adults, if females are 285204, how many males are there?
13. Calculate the square root of 2025.
14. Workout the sixth number in the pattern:
    2,3,5,7, ________________________
15. Juma found out that for 58671 to be divisible by 4, he needed to add a certain number. What is the smallest number that can be added to make it divisible by 4?
16. Mr. Mwandi's vegetable garden is in the shape shown below. Work out the area of the garden.
    
17. Complete the black boxes to express 48 as a product of its prime factors.
    
18. Arrange the following fractions in descending order:
    ¹/₄, ¹¹/₁₆, ²/₉, ⁷/₈
19. What is the total value of digit 8 in 385095?
20. The distance between Wanjiru's home and her school is 3.65km. What is the distance in metres?
21. Write the place value of digit 1 in 120220
22. Calculate the area of the figure below
    
23. A movie show started at 1346 hours. It took 2 hours 43 minutes to end. At what time did it end in 12 hour clock system?
24. A grade seven learners was asked to work out the place value of digit 6 in 35.126. What did she get as the correct answer?
25. Work out: ³/₅ + ⁵/₈ + ¹/₄
26. How many times is the total value of digit 6 greater than tha total value of digit 5 in the number 4674532?
27. Faith helped Mumbi to work out the square root of 784. What was the correct answer?
28. Work out: 30 x 2 ÷ ¹/₂ × 9 − 500 + 8
29. A learner was given a paper with the following drawing.
    
    Express the shaded part as a percentage.
30. A grade seven learner found the following in her textbook
    
    Round of the number represented on the abacus to the nearest tens.
31. Mutua's flower garden is the shape of a rectangle. The area of the garden is 96.
    
    Work out the perimeter of the flower garden.
32. During a birthday party, Maina had y cakes. He was given 3 more cakes. He had more than 13 cakes in total. Form and simplify the inequality to represent the information.
33. A teacher drew the following triangles on the board. Study it and use it to answer the following questions.
    
    State the name of the triangle.
34. Use a ruler and a pair of compass to contruct a line perpendicular to QR from Point O.
    
    If the perpendicular line meets QR at T, what is the measure of line OT?
35. Paul bought a TV set for sh. 42,000. He later sold it for 31500. What loss did he make?
36. A music teacher started his lesson one hour after noon. At what time did he start the lesson in 12 hour clock system?
37. The figure below shows a closed cube.
    
    Calculate the product of vertices and edges in the figure!
38. A school bought some textbooks for grade seven learners. The text books were packed in boxes that hold 47 textbooks each. How many textbooks were packet in 87 boxes?
39. The following represents a wheel.
    
    What is the circumference of the wheel?
40. Work out:
     WEEKS         DAYS
    −   2                   2
         1                   5     
                                         
41. Musa bought a tray full of eggs. On his way back he fell with the tray, breaking 13 eggs. If he sold the remaining eggs at sh.23 per egg. how much did he get?
42. A class of 50 learners has 12 boys. Calculate 47. Convert 10000 ml to litres. the percentage number of girls.
43. A lesson took 1 hour 23 mins. If the lesson ended at 12.40pm, at what time did the lesson start?
44. Convert 0.08% into a decimal.
45. Fifty learners registered to participate in athletic competition. One of the learners fell sick on the day of competition. If the rest of the learners took part in the competition, what is the square of the number of learners who took part in the competition?
46. Tracy, a grade six learner completed her studies in the evening at the time shown. What time was it?
    
47. Conert 10000ml to litres.
48. Express 72% as a fraction.
49. Work out: 40 ÷ ⁵/13
50. The table below shows the number of fruits sold by a vendor in one week.
    
    How many fruits were sold for the whole week?

MARKING SCHEME

1. Eight million, three hundred and three thousand, four hundred and nine.
2. Tens of millions
3. 2 × 2 × 2 × 3 × 3 
4. 83°
5. 5800000
6. 97
7. 5009
8. ⁶/₇ 
9. 15
10. 48
11. 1092
12. 434740
13. 45
14. 13
15. 1
16. 160
17. 2 × 2 × 2 × 2 × 3
18. ⁷/₈, ¹¹/₁₆, ¹/₄, ²/₉ 
19. 80000
20. 3650
21. Hundred of thousands
22. 143m²
23. 4.29 p.m
24. Thousands
25. 1¹⁹/₄₀
26. 1200
27. 28
28. 588
29. 9%
30. 2300
31. 40m
32. y<10
33. Isosceles triangle
34. 2.9 ± 0.1cm
35. Sh. 10500
36. 1:00 p.m
37. 96
38. 4089
39. 198cm
40. 7 days
41. Sh. 391
42. 76%
43. 11:17a.m
44. 0.0008
45. 2401
46. 10:05a.m
47. 10 litres
48. ¹⁸/₂₅
49. 105
50. 320 fruits