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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 56 · 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 10. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 90. What is the largest of them?
  4. 4.The sum of two numbers is 54 and their difference is 8. What is the larger number?
  5. 5.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?
  6. 6.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 156. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 148. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 107 and their difference is 63. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 93. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 129. What is the largest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 16 and their difference is 14. What is the larger number?
  26. 26.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?
  27. 27.One number is 5 times another. Their difference is 12. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 23. What is the smaller number?
  29. 29.One number is 5 times another. Their difference is 136. What is the smaller number?
  30. 30.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  31. 31.The sum of two numbers is 49 and their difference is 35. What is the larger number?
  32. 32.One number is 6 times another. Their difference is 145. What is the smaller number?
  33. 33.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?
  34. 34.The sum of 3 consecutive numbers is 27. What is the largest of them?
  35. 35.The sum of two numbers is 126 and their difference is 58. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 38. What is the smallest of them?

Answer key

  1. 46
  2. 27
  3. 20
  4. 31
  5. 13
  6. 36
  7. 70
  8. 63
  9. 53
  10. 29
  11. 53
  12. 37
  13. 39
  14. 34
  15. 37
  16. 56
  17. 7
  18. 13
  19. 7
  20. 16
  21. 22
  22. 31
  23. 44
  24. 57
  25. 15
  26. 59
  27. 3
  28. 23
  29. 34
  30. 65
  31. 42
  32. 29
  33. 89
  34. 10
  35. 34
  36. 53
  37. 15
  38. 19
  39. 20
  40. 8

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