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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 417 · 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 7. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 4 consecutive numbers is 26. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 92. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 246. 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 8. When the digits swap places, the number goes up by 54. What is the number?
  9. 9.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?
  10. 10.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?
  11. 11.The sum of 5 consecutive numbers is 140. What is the largest of them?
  12. 12.One number is 3 times another. Their difference is 38. What is the smaller number?
  13. 13.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?
  14. 14.One number is 2 times another. Their difference is 36. What is the smaller number?
  15. 15.One number is 6 times another. Their difference is 45. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 10. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 80 and their difference is 34. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 46. What is the smaller number?
  21. 21.One number is 4 times another. Their difference is 111. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 48. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 136. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 128. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  30. 30.The sum of two numbers is 78 and their difference is 62. What is the larger number?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 90 and their difference is 64. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 220. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 100. What is the largest of them?

Answer key

  1. 25
  2. 8
  3. 30
  4. 59
  5. 23
  6. 60
  7. 31
  8. 17
  9. 49
  10. 14
  11. 30
  12. 19
  13. 67
  14. 36
  15. 9
  16. 10
  17. 13
  18. 46
  19. 23
  20. 23
  21. 37
  22. 68
  23. 50
  24. 16
  25. 34
  26. 81
  27. 32
  28. 7
  29. 16
  30. 70
  31. 28
  32. 76
  33. 12
  34. 13
  35. 37
  36. 62
  37. 16
  38. 45
  39. 46
  40. 22

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