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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 142 · 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 14. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of 4 consecutive numbers is 82. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 144. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 42. What is the largest of them?
  10. 10.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  11. 11.The sum of two numbers is 65 and their difference is 33. What is the smaller number?
  12. 12.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?
  13. 13.The sum of two numbers is 88 and their difference is 84. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 124. What is the smaller number?
  15. 15.The sum of two numbers is 143 and their difference is 35. What is the larger number?
  16. 16.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 17. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  21. 21.One number is 6 times another. Their difference is 170. What is the smaller number?
  22. 22.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?
  23. 23.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.One number is 4 times another. Their difference is 102. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  26. 26.The sum of two numbers is 100 and their difference is 18. What is the larger number?
  27. 27.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?
  28. 28.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 66. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 42. What is the largest of them?
  31. 31.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 295. What is the largest of them?
  33. 33.The sum of two numbers is 93 and their difference is 31. What is the smaller number?
  34. 34.The sum of two numbers is 40 and their difference is 18. What is the smaller number?
  35. 35.The sum of two numbers is 24 and their difference is 10. What is the larger number?
  36. 36.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  39. 39.The sum of two numbers is 126 and their difference is 38. What is the larger number?
  40. 40.The sum of 3 consecutive odd numbers is 207. What is the largest of them?

Answer key

  1. 68
  2. 22
  3. 36
  4. 50
  5. 15
  6. 81
  7. 31
  8. 8
  9. 12
  10. 44
  11. 16
  12. 24
  13. 2
  14. 31
  15. 89
  16. 51
  17. 34
  18. 41
  19. 17
  20. 76
  21. 34
  22. 78
  23. 35
  24. 34
  25. 29
  26. 59
  27. 89
  28. 58
  29. 23
  30. 15
  31. 12
  32. 61
  33. 31
  34. 11
  35. 17
  36. 50
  37. 25
  38. 42
  39. 82
  40. 71

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