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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 508 · 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 even numbers is 60. What is the largest of them?
  2. 2.The sum of two numbers is 136 and their difference is 32. What is the smaller number?
  3. 3.The sum of two numbers is 132 and their difference is 8. What is the larger number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  8. 8.One number is 5 times another. Their difference is 116. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 70. What is the smaller number?
  10. 10.The sum of two numbers is 51 and their difference is 41. What is the larger number?
  11. 11.One number is 2 times another. Their difference is 22. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 295. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.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?
  18. 18.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  22. 22.One number is 5 times another. Their difference is 76. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 30. What is the largest of them?
  24. 24.The sum of two numbers is 122 and their difference is 20. What is the larger number?
  25. 25.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 4 consecutive numbers is 210. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 140. What is the largest of them?
  29. 29.One number is 2 times another. Their difference is 39. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  31. 31.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 11. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  34. 34.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?
  35. 35.One number is 4 times another. Their difference is 57. What is the smaller number?
  36. 36.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?
  37. 37.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  38. 38.The sum of two numbers is 119 and their difference is 15. What is the larger number?
  39. 39.The sum of two numbers is 42 and their difference is 12. What is the smaller number?
  40. 40.One number is 5 times another. Their difference is 96. What is the smaller number?

Answer key

  1. 22
  2. 52
  3. 70
  4. 67
  5. 14
  6. 24
  7. 45
  8. 29
  9. 35
  10. 46
  11. 22
  12. 15
  13. 58
  14. 81
  15. 61
  16. 23
  17. 45
  18. 49
  19. 33
  20. 80
  21. 56
  22. 19
  23. 11
  24. 71
  25. 46
  26. 79
  27. 54
  28. 30
  29. 39
  30. 59
  31. 13
  32. 11
  33. 11
  34. 78
  35. 19
  36. 39
  37. 16
  38. 67
  39. 15
  40. 24

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