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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 801 · 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 even numbers is 116. What is the largest of them?
  2. 2.The sum of two numbers is 151 and their difference is 41. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 90. What is the largest of them?
  8. 8.The sum of two numbers is 66 and their difference is 34. What is the smaller number?
  9. 9.The sum of two numbers is 125 and their difference is 57. What is the larger number?
  10. 10.One number is 4 times another. Their difference is 45. What is the smaller number?
  11. 11.The sum of two numbers is 43 and their difference is 17. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.The sum of two numbers is 168 and their difference is 20. What is the larger number?
  15. 15.One number is 3 times another. Their difference is 20. What is the smaller number?
  16. 16.The sum of two numbers is 38 and their difference is 2. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 75. What is the smaller number?
  18. 18.The sum of two numbers is 48 and their difference is 28. What is the larger number?
  19. 19.The sum of two numbers is 107 and their difference is 59. What is the smaller number?
  20. 20.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?
  21. 21.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?
  22. 22.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?
  23. 23.The sum of two numbers is 128 and their difference is 70. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  26. 26.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?
  27. 27.One number is 3 times another. Their difference is 50. What is the smaller number?
  28. 28.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?
  29. 29.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?
  30. 30.One number is 3 times another. Their difference is 38. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 30. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 54. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  35. 35.The sum of two numbers is 89 and their difference is 51. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  37. 37.One number is 3 times another. Their difference is 52. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 180. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 69. What is the smaller number?

Answer key

  1. 32
  2. 55
  3. 57
  4. 15
  5. 77
  6. 37
  7. 20
  8. 16
  9. 91
  10. 15
  11. 13
  12. 27
  13. 48
  14. 94
  15. 10
  16. 18
  17. 15
  18. 38
  19. 24
  20. 89
  21. 19
  22. 12
  23. 29
  24. 73
  25. 17
  26. 67
  27. 25
  28. 35
  29. 46
  30. 19
  31. 67
  32. 11
  33. 19
  34. 48
  35. 19
  36. 39
  37. 26
  38. 51
  39. 36
  40. 23

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