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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 45 · 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 3 consecutive numbers is 132. What is the smallest of them?
  2. 2.One number is 6 times another. Their difference is 175. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 5. What is the smaller number?
  4. 4.The sum of two numbers is 98 and their difference is 84. What is the larger number?
  5. 5.The sum of two numbers is 125 and their difference is 35. What is the larger number?
  6. 6.One number is 4 times another. Their difference is 108. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 26. What is the largest of them?
  8. 8.The sum of two numbers is 137 and their difference is 29. What is the smaller number?
  9. 9.The sum of two numbers is 98 and their difference is 32. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 30. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 38. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 99. What is the largest of them?
  13. 13.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?
  14. 14.The sum of two numbers is 135 and their difference is 29. What is the smaller number?
  15. 15.One number is 5 times another. Their difference is 56. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 38. What is the smaller number?
  19. 19.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 48. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  23. 23.The sum of two numbers is 136 and their difference is 60. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  28. 28.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  30. 30.The sum of two numbers is 32 and their difference is 2. What is the larger number?
  31. 31.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  32. 32.The sum of two numbers is 21 and their difference is 1. What is the larger number?
  33. 33.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  37. 37.One number is 2 times another. Their difference is 25. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 189. What is the smallest 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 27. What is the number?
  40. 40.The sum of 3 consecutive even numbers is 36. What is the smallest of them?

Answer key

  1. 43
  2. 35
  3. 5
  4. 91
  5. 80
  6. 36
  7. 8
  8. 54
  9. 65
  10. 11
  11. 11
  12. 34
  13. 34
  14. 53
  15. 14
  16. 31
  17. 59
  18. 38
  19. 2
  20. 29
  21. 12
  22. 14
  23. 38
  24. 57
  25. 57
  26. 13
  27. 16
  28. 69
  29. 5
  30. 17
  31. 54
  32. 11
  33. 56
  34. 48
  35. 18
  36. 49
  37. 25
  38. 61
  39. 58
  40. 10

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