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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 694 · 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 38. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 46. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  6. 6.One number is 2 times another. Their difference is 33. What is the smaller number?
  7. 7.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?
  8. 8.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.One number is 6 times another. Their difference is 115. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 102. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 195. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 27. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  15. 15.The sum of two numbers is 51 and their difference is 1. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 8. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 70. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 65. What is the smaller number?
  19. 19.One number is 6 times another. Their difference is 85. What is the smaller number?
  20. 20.The sum of two numbers is 29 and their difference is 3. What is the larger number?
  21. 21.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  22. 22.The sum of two numbers is 93 and their difference is 71. What is the larger number?
  23. 23.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  24. 24.The sum of two numbers is 54 and their difference is 32. What is the larger number?
  25. 25.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  27. 27.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?
  28. 28.One number is 2 times another. Their difference is 19. What is the smaller number?
  29. 29.One number is 3 times another. Their difference is 48. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  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 3 consecutive numbers is 69. What is the largest of them?
  33. 33.The sum of two numbers is 151 and their difference is 13. What is the smaller number?
  34. 34.The sum of two numbers is 39 and their difference is 21. What is the larger number?
  35. 35.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 63. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 78. What is the largest of them?
  38. 38.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  39. 39.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?
  40. 40.The sum of 5 consecutive numbers is 305. What is the smallest of them?

Answer key

  1. 11
  2. 23
  3. 43
  4. 19
  5. 15
  6. 33
  7. 67
  8. 14
  9. 23
  10. 34
  11. 41
  12. 57
  13. 10
  14. 13
  15. 25
  16. 8
  17. 35
  18. 13
  19. 17
  20. 16
  21. 80
  22. 82
  23. 53
  24. 43
  25. 47
  26. 31
  27. 36
  28. 19
  29. 24
  30. 56
  31. 89
  32. 24
  33. 69
  34. 30
  35. 24
  36. 22
  37. 21
  38. 64
  39. 49
  40. 59

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