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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 544 · 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.One number is 5 times another. Their difference is 68. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 11. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 230. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 180. What is the smaller number?
  6. 6.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?
  7. 7.The sum of two numbers is 107 and their difference is 1. What is the smaller number?
  8. 8.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?
  9. 9.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  11. 11.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?
  12. 12.One number is 5 times another. Their difference is 100. What is the smaller number?
  13. 13.The sum of two numbers is 111 and their difference is 61. What is the larger number?
  14. 14.The sum of two numbers is 34 and their difference is 2. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 165. What is the largest of them?
  17. 17.The sum of two numbers is 85 and their difference is 9. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  19. 19.The sum of two numbers is 139 and their difference is 53. What is the smaller number?
  20. 20.The sum of two numbers is 169 and their difference is 5. What is the larger number?
  21. 21.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?
  22. 22.The sum of 4 consecutive odd numbers is 240. What is the largest 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 27. What is the number?
  24. 24.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  25. 25.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?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  29. 29.One number is 2 times another. Their difference is 37. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 6. What is the smaller number?
  31. 31.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?
  32. 32.One number is 2 times another. Their difference is 20. What is the smaller number?
  33. 33.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?
  34. 34.The sum of two numbers is 37 and their difference is 13. What is the larger number?
  35. 35.One number is 6 times another. Their difference is 55. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 190. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  39. 39.The sum of two numbers is 105 and their difference is 3. What is the larger number?
  40. 40.The sum of 3 consecutive numbers is 90. What is the largest of them?

Answer key

  1. 17
  2. 11
  3. 12
  4. 59
  5. 36
  6. 79
  7. 53
  8. 25
  9. 23
  10. 31
  11. 78
  12. 25
  13. 86
  14. 16
  15. 57
  16. 35
  17. 38
  18. 12
  19. 43
  20. 87
  21. 48
  22. 63
  23. 47
  24. 49
  25. 89
  26. 39
  27. 10
  28. 81
  29. 37
  30. 6
  31. 38
  32. 20
  33. 15
  34. 25
  35. 11
  36. 49
  37. 39
  38. 61
  39. 54
  40. 31

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