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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 991 · 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 81. What is the largest of them?
  2. 2.The sum of two numbers is 163 and their difference is 9. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  6. 6.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?
  7. 7.One number is 3 times another. Their difference is 36. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 96. What is the smaller number?
  9. 9.The sum of two numbers is 80 and their difference is 4. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 48. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  13. 13.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?
  14. 14.The sum of two numbers is 122 and their difference is 70. What is the larger number?
  15. 15.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  16. 16.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  17. 17.The sum of two numbers is 135 and their difference is 13. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 40. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  23. 23.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  24. 24.The sum of two numbers is 102 and their difference is 14. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  26. 26.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 28. What is the smaller number?
  29. 29.The sum of two numbers is 75 and their difference is 15. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 85. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 50. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 10. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 64. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 72. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 60. What is the largest of them?
  39. 39.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?
  40. 40.One number is 3 times another. Their difference is 58. What is the smaller number?

Answer key

  1. 28
  2. 77
  3. 21
  4. 53
  5. 54
  6. 17
  7. 18
  8. 24
  9. 38
  10. 17
  11. 52
  12. 57
  13. 67
  14. 96
  15. 18
  16. 49
  17. 61
  18. 8
  19. 52
  20. 59
  21. 29
  22. 19
  23. 21
  24. 44
  25. 27
  26. 76
  27. 58
  28. 28
  29. 30
  30. 17
  31. 72
  32. 25
  33. 10
  34. 16
  35. 25
  36. 58
  37. 28
  38. 21
  39. 13
  40. 29

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