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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 80 · 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 9. When the digits swap places, the number goes up by 63. What is the number?
  2. 2.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 38. What is the largest of them?
  5. 5.One number is 5 times another. Their difference is 64. What is the smaller number?
  6. 6.The sum of two numbers is 123 and their difference is 25. What is the larger number?
  7. 7.One number is 3 times another. Their difference is 18. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 255. What is the largest of them?
  10. 10.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  11. 11.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?
  12. 12.One number is 3 times another. Their difference is 78. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  14. 14.The sum of two numbers is 157 and their difference is 17. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 75. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 125. What is the largest of them?
  19. 19.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  20. 20.One number is 2 times another. Their difference is 13. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  22. 22.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?
  23. 23.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  25. 25.The sum of two numbers is 120 and their difference is 48. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 30. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 128. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  35. 35.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  36. 36.One number is 3 times another. Their difference is 58. What is the smaller number?
  37. 37.The sum of two numbers is 21 and their difference is 15. What is the smaller number?
  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 4 consecutive even numbers is 292. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 150. What is the smallest of them?

Answer key

  1. 18
  2. 40
  3. 83
  4. 11
  5. 16
  6. 74
  7. 9
  8. 37
  9. 53
  10. 10
  11. 38
  12. 39
  13. 24
  14. 70
  15. 21
  16. 15
  17. 11
  18. 27
  19. 72
  20. 13
  21. 24
  22. 49
  23. 57
  24. 54
  25. 36
  26. 12
  27. 55
  28. 13
  29. 69
  30. 15
  31. 11
  32. 32
  33. 80
  34. 39
  35. 27
  36. 29
  37. 3
  38. 45
  39. 76
  40. 36

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