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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 498 · 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 numbers is 135. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  4. 4.The sum of two numbers is 115 and their difference is 79. What is the larger number?
  5. 5.One number is 6 times another. Their difference is 150. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  8. 8.The sum of two numbers is 34 and their difference is 24. What is the smaller number?
  9. 9.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?
  10. 10.The sum of two numbers is 25 and their difference is 3. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 6. What is the smaller number?
  12. 12.The sum of two numbers is 28 and their difference is 4. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  15. 15.The sum of two numbers is 73 and their difference is 55. What is the larger number?
  16. 16.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 226. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 35. What is the largest of them?
  21. 21.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  22. 22.One number is 5 times another. Their difference is 72. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 46. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  25. 25.One number is 4 times another. Their difference is 105. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 78. What is the largest of them?
  30. 30.One number is 4 times another. Their difference is 66. What is the smaller number?
  31. 31.The sum of two numbers is 105 and their difference is 47. What is the larger number?
  32. 32.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  33. 33.The sum of two numbers is 113 and their difference is 75. What is the larger number?
  34. 34.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  35. 35.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?
  36. 36.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  37. 37.The sum of two numbers is 64 and their difference is 36. What is the larger number?
  38. 38.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?
  39. 39.One number is 6 times another. Their difference is 20. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?

Answer key

  1. 44
  2. 79
  3. 73
  4. 97
  5. 30
  6. 51
  7. 65
  8. 5
  9. 58
  10. 11
  11. 6
  12. 16
  13. 49
  14. 33
  15. 64
  16. 20
  17. 21
  18. 31
  19. 58
  20. 9
  21. 36
  22. 18
  23. 23
  24. 26
  25. 35
  26. 9
  27. 74
  28. 18
  29. 27
  30. 22
  31. 76
  32. 49
  33. 94
  34. 52
  35. 89
  36. 12
  37. 50
  38. 79
  39. 4
  40. 17

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