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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 502 · 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 4 consecutive numbers is 50. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  5. 5.The sum of two numbers is 97 and their difference is 21. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  7. 7.The sum of two numbers is 122 and their difference is 12. What is the smaller number?
  8. 8.The sum of two numbers is 69 and their difference is 63. What is the larger number?
  9. 9.The sum of two numbers is 72 and their difference is 52. What is the smaller number?
  10. 10.The sum of two numbers is 45 and their difference is 1. What is the larger number?
  11. 11.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  12. 12.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  13. 13.The sum of two numbers is 94 and their difference is 92. What is the larger number?
  14. 14.One number is 2 times another. Their difference is 17. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  16. 16.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  18. 18.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?
  19. 19.One number is 5 times another. Their difference is 108. What is the smaller number?
  20. 20.One number is 4 times another. Their difference is 87. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  24. 24.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?
  25. 25.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?
  26. 26.One number is 5 times another. Their difference is 76. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 76. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 58. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 42. What is the largest of them?
  34. 34.The sum of two numbers is 69 and their difference is 37. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  37. 37.One number is 2 times another. Their difference is 6. What is the smaller number?
  38. 38.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?
  39. 39.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?
  40. 40.The sum of 4 consecutive numbers is 86. What is the largest of them?

Answer key

  1. 11
  2. 15
  3. 16
  4. 56
  5. 38
  6. 38
  7. 55
  8. 66
  9. 10
  10. 23
  11. 60
  12. 29
  13. 93
  14. 17
  15. 81
  16. 16
  17. 54
  18. 89
  19. 27
  20. 29
  21. 10
  22. 35
  23. 37
  24. 12
  25. 79
  26. 19
  27. 38
  28. 49
  29. 55
  30. 58
  31. 29
  32. 11
  33. 15
  34. 16
  35. 40
  36. 50
  37. 6
  38. 57
  39. 69
  40. 23

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