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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 89 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  2. 2.The sum of two numbers is 64 and their difference is 2. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  6. 6.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  7. 7.The sum of two numbers is 80 and their difference is 36. What is the larger number?
  8. 8.One number is 3 times another. Their difference is 64. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 54. What is the smaller number?
  10. 10.The sum of two numbers is 81 and their difference is 35. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 270. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  15. 15.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 45. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  19. 19.The sum of two numbers is 23 and their difference is 21. What is the larger number?
  20. 20.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 12. What is the smaller number?
  22. 22.The sum of two numbers is 117 and their difference is 41. What is the larger number?
  23. 23.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  24. 24.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  25. 25.The sum of two numbers is 69 and their difference is 19. What is the larger number?
  26. 26.The sum of two numbers is 23 and their difference is 3. What is the larger number?
  27. 27.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 5. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  31. 31.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.One number is 4 times another. Their difference is 78. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  34. 34.The sum of two numbers is 58 and their difference is 32. What is the smaller number?
  35. 35.The sum of two numbers is 43 and their difference is 17. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 74. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 153. What is the largest of them?
  38. 38.The sum of two numbers is 101 and their difference is 3. What is the smaller number?
  39. 39.One number is 2 times another. Their difference is 23. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 62. What is the largest of them?

Answer key

  1. 63
  2. 31
  3. 15
  4. 59
  5. 18
  6. 27
  7. 58
  8. 32
  9. 27
  10. 23
  11. 55
  12. 40
  13. 56
  14. 39
  15. 23
  16. 16
  17. 34
  18. 40
  19. 22
  20. 17
  21. 3
  22. 79
  23. 37
  24. 68
  25. 44
  26. 13
  27. 58
  28. 76
  29. 5
  30. 14
  31. 89
  32. 26
  33. 12
  34. 13
  35. 13
  36. 37
  37. 52
  38. 49
  39. 23
  40. 17

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