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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 627 · 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 5 consecutive numbers is 50. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 155. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 64. What is the smaller number?
  13. 13.One number is 6 times another. Their difference is 95. What is the smaller number?
  14. 14.The sum of two numbers is 42 and their difference is 38. What is the smaller number?
  15. 15.The sum of two numbers is 89 and their difference is 43. What is the larger number?
  16. 16.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.The sum of 3 consecutive numbers is 54. What is the largest of them?
  18. 18.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 86. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 84. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 68. What is the smaller number?
  24. 24.The sum of two numbers is 165 and their difference is 23. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  26. 26.One number is 4 times another. Their difference is 75. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.The sum of two numbers is 139 and their difference is 57. What is the larger number?
  30. 30.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  31. 31.The sum of two numbers is 33 and their difference is 5. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.The sum of two numbers is 70 and their difference is 2. What is the larger number?
  34. 34.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.The sum of two numbers is 95 and their difference is 59. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 44. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 20. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  39. 39.The sum of two numbers is 114 and their difference is 2. What is the smaller number?
  40. 40.One number is 3 times another. Their difference is 78. What is the smaller number?

Answer key

  1. 8
  2. 58
  3. 89
  4. 79
  5. 25
  6. 50
  7. 15
  8. 33
  9. 81
  10. 49
  11. 14
  12. 32
  13. 19
  14. 2
  15. 66
  16. 34
  17. 19
  18. 30
  19. 23
  20. 22
  21. 40
  22. 29
  23. 17
  24. 71
  25. 75
  26. 25
  27. 22
  28. 68
  29. 98
  30. 16
  31. 14
  32. 25
  33. 36
  34. 57
  35. 18
  36. 22
  37. 10
  38. 21
  39. 56
  40. 39

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