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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 269 · 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 11. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.One number is 5 times another. Their difference is 104. What is the smaller number?
  3. 3.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?
  4. 4.One number is 5 times another. Their difference is 120. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 90. What is the largest of them?
  8. 8.The sum of two numbers is 90 and their difference is 30. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 114. What is the largest of them?
  10. 10.One number is 3 times another. Their difference is 22. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 69. 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.The sum of two numbers is 37 and their difference is 9. What is the smaller number?
  15. 15.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?
  16. 16.One number is 4 times another. Their difference is 84. What is the smaller number?
  17. 17.The sum of two numbers is 121 and their difference is 15. What is the smaller number?
  18. 18.The sum of two numbers is 105 and their difference is 51. What is the smaller number?
  19. 19.One number is 3 times another. Their difference is 40. What is the smaller number?
  20. 20.The sum of two numbers is 181 and their difference is 17. What is the smaller number?
  21. 21.One number is 4 times another. Their difference is 24. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  23. 23.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?
  24. 24.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?
  25. 25.One number is 6 times another. Their difference is 175. What is the smaller number?
  26. 26.The sum of two numbers is 143 and their difference is 3. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  28. 28.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 46. What is the largest of them?
  30. 30.The sum of two numbers is 63 and their difference is 59. What is the larger number?
  31. 31.The sum of two numbers is 52 and their difference is 8. What is the larger number?
  32. 32.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  33. 33.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  34. 34.The sum of two numbers is 67 and their difference is 25. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 111. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  39. 39.The sum of two numbers is 86 and their difference is 36. What is the larger number?
  40. 40.The sum of two numbers is 87 and their difference is 77. What is the smaller number?

Answer key

  1. 56
  2. 26
  3. 78
  4. 30
  5. 79
  6. 71
  7. 20
  8. 30
  9. 30
  10. 11
  11. 67
  12. 23
  13. 89
  14. 14
  15. 45
  16. 28
  17. 53
  18. 27
  19. 20
  20. 82
  21. 8
  22. 85
  23. 69
  24. 48
  25. 35
  26. 70
  27. 21
  28. 70
  29. 13
  30. 61
  31. 30
  32. 31
  33. 76
  34. 21
  35. 5
  36. 51
  37. 37
  38. 8
  39. 61
  40. 5

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