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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 697 · 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 even numbers is 90. What is the smallest of them?
  2. 2.The sum of two numbers is 50 and their difference is 40. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  7. 7.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?
  8. 8.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?
  9. 9.The sum of two numbers is 78 and their difference is 10. What is the smaller number?
  10. 10.The sum of two numbers is 84 and their difference is 16. What is the smaller number?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  16. 16.The sum of two numbers is 156 and their difference is 14. What is the larger number?
  17. 17.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?
  18. 18.One number is 4 times another. Their difference is 39. What is the smaller number?
  19. 19.The sum of two numbers is 63 and their difference is 9. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  21. 21.The sum of two numbers is 61 and their difference is 51. What is the larger number?
  22. 22.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?
  23. 23.The sum of two numbers is 62 and their difference is 26. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  25. 25.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  26. 26.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?
  27. 27.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  28. 28.One number is 6 times another. Their difference is 110. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  31. 31.The sum of two numbers is 146 and their difference is 10. What is the smaller number?
  32. 32.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?
  33. 33.The sum of two numbers is 67 and their difference is 33. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  35. 35.The sum of two numbers is 130 and their difference is 32. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 3 consecutive even numbers is 204. What is the smallest of them?

Answer key

  1. 28
  2. 5
  3. 24
  4. 67
  5. 6
  6. 14
  7. 24
  8. 39
  9. 34
  10. 34
  11. 89
  12. 78
  13. 43
  14. 16
  15. 44
  16. 85
  17. 12
  18. 13
  19. 27
  20. 14
  21. 56
  22. 79
  23. 18
  24. 11
  25. 71
  26. 56
  27. 29
  28. 22
  29. 58
  30. 23
  31. 68
  32. 16
  33. 17
  34. 56
  35. 81
  36. 12
  37. 54
  38. 29
  39. 18
  40. 66

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