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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 383 · 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 odd numbers is 104. What is the largest of them?
  2. 2.One number is 2 times another. Their difference is 32. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  9. 9.One number is 2 times another. Their difference is 7. What is the smaller number?
  10. 10.The sum of two numbers is 88 and their difference is 32. What is the larger number?
  11. 11.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  12. 12.The sum of two numbers is 121 and their difference is 41. What is the smaller number?
  13. 13.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?
  14. 14.The sum of two numbers is 31 and their difference is 5. What is the smaller number?
  15. 15.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?
  16. 16.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?
  17. 17.One number is 6 times another. Their difference is 80. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 178. What is the largest of them?
  20. 20.One number is 3 times another. Their difference is 8. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  24. 24.The sum of two numbers is 57 and their difference is 5. What is the larger number?
  25. 25.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 5 consecutive numbers is 200. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 37. What is the smaller number?
  30. 30.The sum of two numbers is 147 and their difference is 29. What is the smaller number?
  31. 31.The sum of two numbers is 118 and their difference is 2. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 35. What is the smaller number?
  33. 33.The sum of two numbers is 54 and their difference is 34. What is the smaller number?
  34. 34.The sum of two numbers is 94 and their difference is 28. What is the smaller number?
  35. 35.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 91 and their difference is 33. What is the smaller number?
  40. 40.The sum of two numbers is 169 and their difference is 17. What is the smaller number?

Answer key

  1. 29
  2. 32
  3. 44
  4. 27
  5. 28
  6. 37
  7. 42
  8. 12
  9. 7
  10. 60
  11. 72
  12. 40
  13. 15
  14. 13
  15. 89
  16. 59
  17. 16
  18. 5
  19. 46
  20. 4
  21. 76
  22. 27
  23. 38
  24. 31
  25. 38
  26. 68
  27. 42
  28. 16
  29. 37
  30. 59
  31. 58
  32. 7
  33. 10
  34. 33
  35. 10
  36. 20
  37. 19
  38. 48
  39. 29
  40. 76

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