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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 689 · 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 5 consecutive numbers is 240. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 175. What is the smaller 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 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?
  6. 6.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?
  7. 7.The sum of 5 consecutive numbers is 85. What is the largest of them?
  8. 8.The sum of two numbers is 57 and their difference is 53. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 4 consecutive numbers is 118. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  14. 14.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 90. What is the largest of them?
  17. 17.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?
  18. 18.The sum of two numbers is 145 and their difference is 49. What is the larger number?
  19. 19.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 57. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  22. 22.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  23. 23.One number is 3 times another. Their difference is 30. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 189. What is the largest 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.The sum of two numbers is 44 and their difference is 18. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  37. 37.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?
  38. 38.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  39. 39.The sum of two numbers is 46 and their difference is 34. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 153. What is the smallest of them?

Answer key

  1. 46
  2. 41
  3. 35
  4. 67
  5. 34
  6. 46
  7. 19
  8. 2
  9. 79
  10. 31
  11. 15
  12. 61
  13. 18
  14. 9
  15. 43
  16. 20
  17. 12
  18. 97
  19. 29
  20. 20
  21. 36
  22. 10
  23. 15
  24. 16
  25. 37
  26. 48
  27. 89
  28. 81
  29. 59
  30. 71
  31. 47
  32. 55
  33. 65
  34. 78
  35. 13
  36. 42
  37. 15
  38. 20
  39. 6
  40. 50

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