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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 944 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  3. 3.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?
  4. 4.One number is 6 times another. Their difference is 50. What is the smaller number?
  5. 5.The sum of two numbers is 59 and their difference is 47. What is the larger number?
  6. 6.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 170. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 54. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 85. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 65. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 170. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 35. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 120. What is the largest of them?
  21. 21.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?
  22. 22.One number is 4 times another. Their difference is 45. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  25. 25.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?
  26. 26.One number is 6 times another. Their difference is 120. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  28. 28.The sum of two numbers is 103 and their difference is 41. What is the smaller number?
  29. 29.The sum of two numbers is 69 and their difference is 37. What is the smaller number?
  30. 30.One number is 4 times another. Their difference is 39. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 255. What is the largest of them?
  33. 33.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?
  34. 34.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 117. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 25. What is the smaller number?
  37. 37.The sum of two numbers is 136 and their difference is 10. What is the smaller number?
  38. 38.The sum of two numbers is 105 and their difference is 43. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 3 consecutive numbers is 99. What is the largest of them?

Answer key

  1. 89
  2. 47
  3. 38
  4. 10
  5. 53
  6. 17
  7. 34
  8. 56
  9. 27
  10. 19
  11. 61
  12. 13
  13. 44
  14. 41
  15. 33
  16. 56
  17. 71
  18. 35
  19. 54
  20. 41
  21. 15
  22. 15
  23. 63
  24. 65
  25. 79
  26. 24
  27. 80
  28. 31
  29. 16
  30. 13
  31. 48
  32. 53
  33. 78
  34. 72
  35. 40
  36. 5
  37. 63
  38. 31
  39. 69
  40. 34

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