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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 855 · 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 159. What is the smallest of them?
  2. 2.One number is 4 times another. Their difference is 75. What is the smaller number?
  3. 3.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?
  4. 4.The sum of two numbers is 105 and their difference is 53. What is the larger number?
  5. 5.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  6. 6.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 127 and their difference is 9. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 255. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 230. What is the largest of them?
  15. 15.One number is 3 times another. Their difference is 8. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  20. 20.The sum of two numbers is 77 and their difference is 37. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 122. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 62. What is the largest of them?
  25. 25.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  28. 28.The sum of two numbers is 84 and their difference is 20. What is the larger number?
  29. 29.One number is 4 times another. Their difference is 15. What is the smaller number?
  30. 30.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  31. 31.One number is 2 times another. Their difference is 36. What is the smaller number?
  32. 32.The sum of two numbers is 40 and their difference is 8. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 68. What is the smaller number?
  34. 34.One number is 4 times another. Their difference is 78. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  36. 36.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?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  38. 38.The sum of two numbers is 125 and their difference is 47. What is the smaller number?
  39. 39.The sum of two numbers is 69 and their difference is 39. What is the larger number?
  40. 40.The sum of 5 consecutive numbers is 75. What is the largest of them?

Answer key

  1. 51
  2. 25
  3. 14
  4. 79
  5. 17
  6. 50
  7. 15
  8. 59
  9. 13
  10. 36
  11. 78
  12. 47
  13. 53
  14. 48
  15. 4
  16. 31
  17. 47
  18. 23
  19. 25
  20. 20
  21. 14
  22. 6
  23. 32
  24. 17
  25. 72
  26. 32
  27. 12
  28. 52
  29. 5
  30. 31
  31. 36
  32. 16
  33. 17
  34. 26
  35. 31
  36. 67
  37. 28
  38. 39
  39. 54
  40. 17

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