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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 666 · 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 2 times another. Their difference is 15. What is the smaller number?
  2. 2.The sum of two numbers is 62 and their difference is 18. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 80. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  9. 9.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  11. 11.The sum of two numbers is 17 and their difference is 13. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 96. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 48. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  15. 15.The sum of 3 consecutive numbers is 168. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.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?
  18. 18.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  19. 19.The sum of two numbers is 114 and their difference is 34. What is the larger number?
  20. 20.The sum of two numbers is 71 and their difference is 59. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 78. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 234. What is the largest of them?
  23. 23.One number is 3 times another. Their difference is 68. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 57. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 54. What is the largest of them?
  27. 27.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  29. 29.One number is 4 times another. Their difference is 9. What is the smaller number?
  30. 30.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  31. 31.One number is 6 times another. Their difference is 15. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 44. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 12. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 145. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 55. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 15
  2. 22
  3. 38
  4. 45
  5. 60
  6. 40
  7. 35
  8. 11
  9. 9
  10. 15
  11. 2
  12. 32
  13. 24
  14. 35
  15. 57
  16. 45
  17. 14
  18. 19
  19. 74
  20. 6
  21. 21
  22. 60
  23. 34
  24. 67
  25. 20
  26. 19
  27. 60
  28. 82
  29. 3
  30. 17
  31. 3
  32. 22
  33. 3
  34. 24
  35. 31
  36. 27
  37. 58
  38. 48
  39. 13
  40. 25

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