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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 907 · 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 odd numbers is 57. What is the smallest of them?
  2. 2.The sum of 4 consecutive even numbers is 68. 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 sum of two numbers is 151 and their difference is 1. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 275. What is the largest of them?
  10. 10.One number is 5 times another. Their difference is 24. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 198. What is the largest of them?
  12. 12.One number is 2 times another. Their difference is 8. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  15. 15.The sum of two numbers is 63 and their difference is 3. What is the larger number?
  16. 16.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?
  17. 17.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?
  18. 18.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of two numbers is 44 and their difference is 26. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 280. What is the largest of them?
  21. 21.The sum of two numbers is 142 and their difference is 2. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  23. 23.One number is 3 times another. Their difference is 44. What is the smaller number?
  24. 24.The sum of two numbers is 43 and their difference is 19. What is the smaller number?
  25. 25.One number is 3 times another. Their difference is 14. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  27. 27.The sum of two numbers is 79 and their difference is 33. What is the larger number?
  28. 28.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.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?
  31. 31.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?
  32. 32.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  33. 33.The sum of two numbers is 44 and their difference is 38. What is the larger number?
  34. 34.The sum of 3 consecutive numbers is 147. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  37. 37.The sum of two numbers is 88 and their difference is 14. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 58. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?

Answer key

  1. 17
  2. 20
  3. 45
  4. 75
  5. 52
  6. 7
  7. 31
  8. 15
  9. 57
  10. 6
  11. 51
  12. 8
  13. 51
  14. 27
  15. 33
  16. 19
  17. 59
  18. 35
  19. 9
  20. 58
  21. 70
  22. 18
  23. 22
  24. 12
  25. 7
  26. 8
  27. 56
  28. 36
  29. 34
  30. 78
  31. 89
  32. 87
  33. 41
  34. 50
  35. 26
  36. 60
  37. 37
  38. 21
  39. 29
  40. 19

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