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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 977 · 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 3. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.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?
  3. 3.The sum of 3 consecutive numbers is 177. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  6. 6.The sum of two numbers is 101 and their difference is 95. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 153. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 144. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 332. What is the largest 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.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 3 consecutive numbers is 57. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 18. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  18. 18.The sum of two numbers is 73 and their difference is 7. What is the larger number?
  19. 19.One number is 3 times another. Their difference is 20. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 4 consecutive numbers is 162. What is the largest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  25. 25.The sum of two numbers is 17 and their difference is 9. What is the larger number?
  26. 26.One number is 5 times another. Their difference is 40. What is the smaller number?
  27. 27.The sum of two numbers is 111 and their difference is 41. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  30. 30.One number is 2 times another. Their difference is 25. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of two numbers is 25 and their difference is 19. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 185. What is the largest of them?
  39. 39.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 126. What is the largest of them?

Answer key

  1. 12
  2. 39
  3. 60
  4. 15
  5. 49
  6. 3
  7. 52
  8. 36
  9. 12
  10. 86
  11. 38
  12. 78
  13. 18
  14. 48
  15. 24
  16. 18
  17. 46
  18. 40
  19. 10
  20. 24
  21. 42
  22. 89
  23. 41
  24. 19
  25. 13
  26. 10
  27. 35
  28. 25
  29. 22
  30. 25
  31. 50
  32. 25
  33. 49
  34. 18
  35. 27
  36. 69
  37. 3
  38. 39
  39. 60
  40. 44

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