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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 220 · 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 digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  6. 6.The sum of 5 consecutive numbers is 285. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 3. What is the smaller number?
  8. 8.The sum of two numbers is 86 and their difference is 80. What is the larger number?
  9. 9.The sum of two numbers is 48 and their difference is 20. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 66. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of 5 consecutive numbers is 225. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  17. 17.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 39. What is the largest of them?
  20. 20.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?
  21. 21.One number is 5 times another. Their difference is 96. What is the smaller number?
  22. 22.The sum of two numbers is 32 and their difference is 2. What is the larger number?
  23. 23.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  24. 24.The sum of two numbers is 85 and their difference is 57. What is the smaller number?
  25. 25.The sum of two numbers is 117 and their difference is 41. What is the smaller number?
  26. 26.The sum of two numbers is 96 and their difference is 8. What is the larger number?
  27. 27.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  29. 29.One number is 4 times another. Their difference is 93. What is the smaller number?
  30. 30.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?
  31. 31.One number is 6 times another. Their difference is 200. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 120. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  36. 36.The sum of two numbers is 107 and their difference is 29. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  38. 38.One number is 3 times another. Their difference is 48. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  40. 40.The sum of 3 consecutive even numbers is 222. What is the smallest of them?

Answer key

  1. 48
  2. 48
  3. 17
  4. 56
  5. 23
  6. 59
  7. 3
  8. 83
  9. 14
  10. 86
  11. 16
  12. 33
  13. 13
  14. 47
  15. 58
  16. 77
  17. 72
  18. 36
  19. 14
  20. 89
  21. 24
  22. 17
  23. 45
  24. 14
  25. 38
  26. 52
  27. 23
  28. 17
  29. 31
  30. 68
  31. 40
  32. 41
  33. 59
  34. 30
  35. 79
  36. 39
  37. 78
  38. 24
  39. 38
  40. 72

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