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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 236 · 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 95. What is the smaller number?
  2. 2.The sum of two numbers is 76 and their difference is 56. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 84. What is the largest of them?
  4. 4.The sum of two numbers is 32 and their difference is 24. What is the smaller number?
  5. 5.The sum of two numbers is 18 and their difference is 12. What is the smaller number?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  9. 9.One number is 5 times another. Their difference is 16. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 75. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  16. 16.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of two numbers is 97 and their difference is 59. What is the smaller number?
  19. 19.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  20. 20.The sum of two numbers is 105 and their difference is 1. What is the larger number?
  21. 21.The sum of two numbers is 180 and their difference is 18. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  23. 23.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  24. 24.The sum of two numbers is 14 and their difference is 6. What is the larger number?
  25. 25.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?
  26. 26.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  27. 27.The sum of two numbers is 127 and their difference is 45. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 7. What is the smaller number?
  29. 29.The sum of two numbers is 42 and their difference is 32. What is the larger number?
  30. 30.One number is 3 times another. Their difference is 76. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.One number is 2 times another. Their difference is 5. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 69. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  37. 37.The sum of two numbers is 134 and their difference is 34. What is the smaller number?
  38. 38.The sum of two numbers is 35 and their difference is 5. What is the larger number?
  39. 39.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 190. What is the largest of them?

Answer key

  1. 19
  2. 10
  3. 29
  4. 4
  5. 3
  6. 89
  7. 56
  8. 82
  9. 4
  10. 50
  11. 74
  12. 29
  13. 25
  14. 70
  15. 38
  16. 35
  17. 79
  18. 19
  19. 18
  20. 53
  21. 81
  22. 25
  23. 76
  24. 10
  25. 17
  26. 29
  27. 41
  28. 7
  29. 37
  30. 38
  31. 14
  32. 14
  33. 46
  34. 5
  35. 23
  36. 17
  37. 50
  38. 20
  39. 31
  40. 40

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