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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 473 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of two numbers is 43 and their difference is 41. What is the larger number?
  6. 6.The sum of 5 consecutive numbers is 175. What is the largest of them?
  7. 7.One number is 5 times another. Their difference is 64. What is the smaller number?
  8. 8.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?
  9. 9.The sum of two numbers is 141 and their difference is 49. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 30. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  15. 15.One number is 5 times another. Their difference is 76. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  21. 21.One number is 2 times another. Their difference is 38. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 50. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  25. 25.The sum of two numbers is 80 and their difference is 18. What is the larger number?
  26. 26.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.One number is 2 times another. Their difference is 8. What is the smaller number?
  28. 28.The sum of two numbers is 40 and their difference is 14. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  31. 31.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  32. 32.The sum of two numbers is 83 and their difference is 3. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  34. 34.The sum of two numbers is 77 and their difference is 57. What is the larger number?
  35. 35.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 100. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 296. What is the largest of them?

Answer key

  1. 89
  2. 15
  3. 34
  4. 78
  5. 42
  6. 37
  7. 16
  8. 79
  9. 46
  10. 50
  11. 45
  12. 11
  13. 69
  14. 14
  15. 19
  16. 24
  17. 48
  18. 71
  19. 45
  20. 15
  21. 38
  22. 10
  23. 17
  24. 31
  25. 49
  26. 67
  27. 8
  28. 13
  29. 44
  30. 27
  31. 55
  32. 40
  33. 13
  34. 67
  35. 15
  36. 80
  37. 22
  38. 55
  39. 19
  40. 77

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