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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 306 · 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 37. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  3. 3.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?
  4. 4.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 56. What is the smaller number?
  7. 7.The sum of two numbers is 169 and their difference is 3. What is the larger number?
  8. 8.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  9. 9.The sum of two numbers is 175 and their difference is 13. What is the larger number?
  10. 10.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  12. 12.One number is 2 times another. Their difference is 8. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  15. 15.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  16. 16.The sum of two numbers is 146 and their difference is 30. What is the larger number?
  17. 17.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.The sum of two numbers is 67 and their difference is 25. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 12 and their difference is 8. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 130. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 21. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  25. 25.The sum of two numbers is 98 and their difference is 68. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 84. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  30. 30.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?
  31. 31.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.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?
  33. 33.The sum of 4 consecutive numbers is 74. What is the largest of them?
  34. 34.The sum of two numbers is 121 and their difference is 55. What is the smaller number?
  35. 35.The sum of two numbers is 111 and their difference is 19. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 24. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  38. 38.The sum of two numbers is 96 and their difference is 46. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 150. What is the smallest of them?

Answer key

  1. 37
  2. 75
  3. 89
  4. 54
  5. 85
  6. 28
  7. 86
  8. 8
  9. 94
  10. 52
  11. 44
  12. 8
  13. 53
  14. 24
  15. 17
  16. 88
  17. 57
  18. 21
  19. 79
  20. 2
  21. 28
  22. 21
  23. 21
  24. 73
  25. 15
  26. 42
  27. 21
  28. 12
  29. 69
  30. 78
  31. 58
  32. 38
  33. 20
  34. 33
  35. 46
  36. 8
  37. 13
  38. 25
  39. 33
  40. 28

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