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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 55 · 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 7. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.One number is 2 times another. Their difference is 29. What is the smaller number?
  3. 3.The sum of two numbers is 32 and their difference is 16. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  8. 8.The sum of two numbers is 158 and their difference is 8. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 225. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.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?
  15. 15.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  17. 17.The sum of two numbers is 127 and their difference is 33. What is the larger number?
  18. 18.One number is 3 times another. Their difference is 42. What is the smaller number?
  19. 19.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?
  20. 20.One number is 4 times another. Their difference is 27. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 19. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  23. 23.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  25. 25.The sum of two numbers is 111 and their difference is 5. What is the larger number?
  26. 26.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?
  27. 27.The sum of two numbers is 97 and their difference is 59. What is the larger number?
  28. 28.The sum of two numbers is 148 and their difference is 22. What is the smaller number?
  29. 29.The sum of two numbers is 26 and their difference is 16. What is the larger number?
  30. 30.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?
  31. 31.The sum of two numbers is 19 and their difference is 5. What is the larger number?
  32. 32.The sum of 5 consecutive numbers is 220. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 86. What is the largest of them?
  34. 34.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?
  35. 35.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 246. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  40. 40.The sum of two numbers is 16 and their difference is 12. What is the larger number?

Answer key

  1. 25
  2. 29
  3. 8
  4. 32
  5. 26
  6. 89
  7. 14
  8. 75
  9. 38
  10. 47
  11. 70
  12. 24
  13. 26
  14. 56
  15. 42
  16. 50
  17. 80
  18. 21
  19. 49
  20. 9
  21. 19
  22. 56
  23. 30
  24. 55
  25. 58
  26. 38
  27. 78
  28. 63
  29. 21
  30. 57
  31. 12
  32. 46
  33. 23
  34. 79
  35. 7
  36. 16
  37. 63
  38. 21
  39. 85
  40. 14

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