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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 674 · 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.One number is 2 times another. Their difference is 37. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 65. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 54. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 159. What is the largest of them?
  6. 6.The sum of two numbers is 12 and their difference is 10. What is the larger number?
  7. 7.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 22. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  11. 11.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?
  12. 12.One number is 6 times another. Their difference is 140. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  15. 15.The sum of two numbers is 84 and their difference is 42. What is the smaller number?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 44. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 185. What is the smaller number?
  19. 19.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?
  20. 20.One number is 3 times another. Their difference is 46. What is the smaller number?
  21. 21.One number is 5 times another. Their difference is 36. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 165. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 175. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 38. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 23. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  28. 28.One number is 6 times another. Their difference is 25. What is the smaller number?
  29. 29.One number is 3 times another. Their difference is 10. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 54. What is the smaller number?
  33. 33.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?
  34. 34.The sum of 3 consecutive numbers is 69. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 87. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 118 and their difference is 6. What is the larger number?
  39. 39.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  40. 40.The sum of 3 consecutive odd numbers is 27. What is the largest of them?

Answer key

  1. 37
  2. 71
  3. 13
  4. 15
  5. 54
  6. 11
  7. 33
  8. 11
  9. 14
  10. 59
  11. 59
  12. 28
  13. 53
  14. 78
  15. 21
  16. 23
  17. 22
  18. 37
  19. 89
  20. 23
  21. 9
  22. 56
  23. 37
  24. 11
  25. 23
  26. 29
  27. 19
  28. 5
  29. 5
  30. 79
  31. 28
  32. 27
  33. 15
  34. 24
  35. 29
  36. 57
  37. 13
  38. 62
  39. 45
  40. 11

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