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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 825 · 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 sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  2. 2.One number is 4 times another. Their difference is 54. What is the smaller number?
  3. 3.The sum of two numbers is 131 and their difference is 3. What is the larger number?
  4. 4.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?
  5. 5.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 90. What is the largest of them?
  9. 9.The sum of two numbers is 46 and their difference is 22. What is the smaller number?
  10. 10.The sum of two numbers is 67 and their difference is 19. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 85. What is the largest of them?
  12. 12.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  13. 13.The sum of two numbers is 111 and their difference is 59. What is the smaller number?
  14. 14.The sum of two numbers is 110 and their difference is 12. What is the smaller number?
  15. 15.The sum of two numbers is 99 and their difference is 11. What is the larger number?
  16. 16.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?
  17. 17.The sum of two numbers is 53 and their difference is 5. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  21. 21.The sum of two numbers is 40 and their difference is 30. What is the larger number?
  22. 22.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  25. 25.The sum of two numbers is 105 and their difference is 83. What is the larger number?
  26. 26.The sum of two numbers is 41 and their difference is 9. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  29. 29.The sum of two numbers is 83 and their difference is 45. What is the larger number?
  30. 30.The sum of two numbers is 52 and their difference is 50. What is the smaller number?
  31. 31.The sum of two numbers is 19 and their difference is 3. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 166. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  37. 37.The sum of two numbers is 83 and their difference is 3. What is the smaller number?
  38. 38.One number is 6 times another. Their difference is 20. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 138. What is the largest of them?
  40. 40.The sum of two numbers is 82 and their difference is 26. What is the smaller number?

Answer key

  1. 47
  2. 18
  3. 67
  4. 89
  5. 10
  6. 48
  7. 47
  8. 20
  9. 12
  10. 24
  11. 19
  12. 25
  13. 26
  14. 49
  15. 55
  16. 69
  17. 24
  18. 13
  19. 77
  20. 14
  21. 35
  22. 53
  23. 50
  24. 14
  25. 94
  26. 16
  27. 56
  28. 39
  29. 64
  30. 1
  31. 8
  32. 26
  33. 43
  34. 10
  35. 15
  36. 18
  37. 40
  38. 4
  39. 36
  40. 28

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