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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 976 · 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 6 times another. Their difference is 15. What is the smaller number?
  2. 2.The sum of two numbers is 112 and their difference is 8. What is the smaller number?
  3. 3.The sum of two numbers is 47 and their difference is 29. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 18. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 114. What is the largest of them?
  7. 7.The sum of two numbers is 16 and their difference is 12. What is the smaller number?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  11. 11.One number is 4 times another. Their difference is 57. What is the smaller number?
  12. 12.The sum of two numbers is 77 and their difference is 73. What is the larger number?
  13. 13.The sum of two numbers is 137 and their difference is 41. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 146. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  16. 16.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  17. 17.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  18. 18.The sum of two numbers is 76 and their difference is 48. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 102. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 34. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  22. 22.The sum of two numbers is 93 and their difference is 53. What is the larger number?
  23. 23.The sum of two numbers is 26 and their difference is 2. What is the larger number?
  24. 24.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  26. 26.One number is 3 times another. Their difference is 66. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 102. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 214. What is the largest of them?
  29. 29.The sum of two numbers is 36 and their difference is 8. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 110. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 24. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 123 and their difference is 1. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 3 consecutive numbers is 24. What is the smallest of them?

Answer key

  1. 3
  2. 52
  3. 9
  4. 9
  5. 49
  6. 39
  7. 2
  8. 79
  9. 48
  10. 44
  11. 19
  12. 75
  13. 48
  14. 38
  15. 27
  16. 25
  17. 14
  18. 14
  19. 34
  20. 34
  21. 48
  22. 73
  23. 14
  24. 54
  25. 46
  26. 33
  27. 27
  28. 55
  29. 14
  30. 22
  31. 9
  32. 20
  33. 59
  34. 61
  35. 13
  36. 11
  37. 78
  38. 55
  39. 89
  40. 7

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