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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 613 · 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 15. 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 4. When the digits swap places, the number goes up by 18. What is the number?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.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?
  6. 6.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 104. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 76. What is the smaller number?
  10. 10.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?
  11. 11.One number is 3 times another. Their difference is 52. What is the smaller number?
  12. 12.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?
  13. 13.The sum of two numbers is 46 and their difference is 6. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 25. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 129. What is the largest of them?
  19. 19.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  21. 21.One number is 4 times another. Their difference is 9. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  23. 23.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 75. What is the smaller number?
  26. 26.The sum of two numbers is 31 and their difference is 5. What is the larger number?
  27. 27.The sum of two numbers is 119 and their difference is 31. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  30. 30.The sum of 5 consecutive numbers is 115. What is the largest of them?
  31. 31.The sum of two numbers is 91 and their difference is 71. What is the smaller number?
  32. 32.The sum of two numbers is 93 and their difference is 53. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 37. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 50. What is the smaller number?
  35. 35.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?
  36. 36.The sum of two numbers is 174 and their difference is 8. What is the larger number?
  37. 37.The sum of two numbers is 99 and their difference is 87. What is the larger number?
  38. 38.The sum of 5 consecutive numbers is 210. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 4. What is the smaller number?

Answer key

  1. 78
  2. 13
  3. 89
  4. 68
  5. 23
  6. 52
  7. 63
  8. 26
  9. 38
  10. 79
  11. 26
  12. 58
  13. 20
  14. 53
  15. 5
  16. 24
  17. 81
  18. 44
  19. 32
  20. 59
  21. 3
  22. 35
  23. 16
  24. 24
  25. 15
  26. 18
  27. 44
  28. 25
  29. 28
  30. 25
  31. 10
  32. 20
  33. 37
  34. 10
  35. 67
  36. 91
  37. 93
  38. 44
  39. 77
  40. 4

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