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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 457 · 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 18. What is the number?
  2. 2.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?
  3. 3.One number is 5 times another. Their difference is 52. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  7. 7.One number is 3 times another. Their difference is 78. What is the smaller number?
  8. 8.One number is 2 times another. Their difference is 3. 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 5 consecutive numbers is 190. What is the largest of them?
  11. 11.One number is 6 times another. Their difference is 65. What is the smaller number?
  12. 12.The sum of two numbers is 122 and their difference is 14. What is the smaller number?
  13. 13.The sum of two numbers is 105 and their difference is 19. What is the larger number?
  14. 14.The sum of two numbers is 139 and their difference is 49. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 40. What is the largest of them?
  16. 16.The sum of two numbers is 109 and their difference is 3. What is the smaller number?
  17. 17.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?
  18. 18.One number is 6 times another. Their difference is 80. What is the smaller number?
  19. 19.The sum of two numbers is 131 and their difference is 11. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  21. 21.The sum of two numbers is 50 and their difference is 6. What is the smaller number?
  22. 22.The sum of two numbers is 82 and their difference is 44. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  24. 24.The sum of two numbers is 64 and their difference is 26. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 120. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 77 and their difference is 71. What is the smaller number?
  29. 29.The sum of two numbers is 114 and their difference is 44. What is the larger number?
  30. 30.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 90. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 30. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 30. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  38. 38.The sum of two numbers is 92 and their difference is 84. What is the larger number?
  39. 39.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?
  40. 40.The sum of two numbers is 165 and their difference is 25. What is the smaller number?

Answer key

  1. 57
  2. 89
  3. 13
  4. 15
  5. 78
  6. 56
  7. 39
  8. 3
  9. 27
  10. 40
  11. 13
  12. 54
  13. 62
  14. 45
  15. 10
  16. 53
  17. 14
  18. 16
  19. 60
  20. 77
  21. 22
  22. 19
  23. 36
  24. 19
  25. 30
  26. 80
  27. 25
  28. 3
  29. 79
  30. 33
  31. 15
  32. 20
  33. 44
  34. 30
  35. 13
  36. 11
  37. 57
  38. 88
  39. 67
  40. 70

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