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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 179 · 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 102. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 226. What is the largest of them?
  3. 3.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?
  4. 4.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?
  5. 5.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  6. 6.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  7. 7.The sum of two numbers is 114 and their difference is 6. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 78. What is the smaller number?
  11. 11.The sum of two numbers is 37 and their difference is 17. What is the larger number?
  12. 12.The sum of two numbers is 31 and their difference is 5. What is the smaller number?
  13. 13.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?
  14. 14.One number is 2 times another. Their difference is 18. What is the smaller number?
  15. 15.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?
  16. 16.The sum of two numbers is 87 and their difference is 3. What is the smaller number?
  17. 17.The sum of two numbers is 123 and their difference is 11. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  19. 19.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?
  20. 20.The sum of two numbers is 45 and their difference is 13. What is the larger number?
  21. 21.The sum of 3 consecutive numbers is 150. What is the largest of them?
  22. 22.One number is 2 times another. Their difference is 5. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 76. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  25. 25.The sum of two numbers is 139 and their difference is 13. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 60. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 118. What is the largest of them?
  31. 31.One number is 2 times another. Their difference is 21. What is the smaller number?
  32. 32.The sum of two numbers is 58 and their difference is 28. What is the larger number?
  33. 33.One number is 2 times another. Their difference is 29. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  35. 35.The sum of two numbers is 128 and their difference is 28. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 22. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  38. 38.The sum of two numbers is 44 and their difference is 2. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.The sum of 3 consecutive odd numbers is 39. What is the largest of them?

Answer key

  1. 33
  2. 58
  3. 45
  4. 68
  5. 39
  6. 60
  7. 54
  8. 23
  9. 49
  10. 39
  11. 27
  12. 13
  13. 89
  14. 18
  15. 56
  16. 42
  17. 56
  18. 30
  19. 12
  20. 29
  21. 51
  22. 5
  23. 19
  24. 23
  25. 76
  26. 30
  27. 48
  28. 50
  29. 78
  30. 31
  31. 21
  32. 43
  33. 29
  34. 20
  35. 50
  36. 11
  37. 19
  38. 21
  39. 24
  40. 15

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