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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 58 · 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 4 consecutive numbers is 142. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  4. 4.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  6. 6.The sum of two numbers is 61 and their difference is 1. What is the larger number?
  7. 7.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  10. 10.The sum of two numbers is 50 and their difference is 44. What is the larger number?
  11. 11.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  12. 12.The sum of two numbers is 99 and their difference is 45. What is the larger number?
  13. 13.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 91 and their difference is 79. What is the larger number?
  16. 16.The sum of two numbers is 68 and their difference is 46. What is the larger number?
  17. 17.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 99. What is the largest of them?
  20. 20.One number is 5 times another. Their difference is 44. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  22. 22.The sum of two numbers is 50 and their difference is 2. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 38. What is the largest of them?
  24. 24.The sum of two numbers is 89 and their difference is 87. What is the smaller number?
  25. 25.The sum of two numbers is 104 and their difference is 6. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 57. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 110. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  30. 30.The sum of two numbers is 27 and their difference is 7. What is the larger number?
  31. 31.One number is 6 times another. Their difference is 55. What is the smaller number?
  32. 32.The sum of two numbers is 102 and their difference is 16. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 156. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 210. What is the largest of them?
  36. 36.One number is 2 times another. Their difference is 7. What is the smaller number?
  37. 37.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  38. 38.The sum of 4 consecutive numbers is 222. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 44. What is the smaller number?

Answer key

  1. 34
  2. 36
  3. 39
  4. 20
  5. 51
  6. 31
  7. 39
  8. 49
  9. 22
  10. 47
  11. 49
  12. 72
  13. 71
  14. 89
  15. 85
  16. 57
  17. 43
  18. 13
  19. 34
  20. 11
  21. 17
  22. 24
  23. 11
  24. 1
  25. 49
  26. 20
  27. 29
  28. 67
  29. 14
  30. 17
  31. 11
  32. 59
  33. 53
  34. 37
  35. 44
  36. 7
  37. 10
  38. 57
  39. 11
  40. 22

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