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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 173 · 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 22. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 33. What is the smaller number?
  3. 3.One number is 3 times another. Their difference is 62. What is the smaller number?
  4. 4.The sum of two numbers is 29 and their difference is 7. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 136. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 146. What is the largest of them?
  8. 8.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?
  9. 9.One number is 3 times another. Their difference is 74. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 93. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 240. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 138. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 36. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 18. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 26 and their difference is 22. What is the larger number?
  21. 21.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  22. 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  26. 26.One number is 2 times another. Their difference is 25. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  31. 31.The sum of two numbers is 104 and their difference is 36. What is the larger number?
  32. 32.The sum of two numbers is 73 and their difference is 61. What is the larger number?
  33. 33.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.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?
  36. 36.The sum of 3 consecutive numbers is 147. What is the largest of them?
  37. 37.One number is 3 times another. Their difference is 58. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  39. 39.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  40. 40.One number is 5 times another. Their difference is 68. What is the smaller number?

Answer key

  1. 22
  2. 11
  3. 31
  4. 18
  5. 19
  6. 34
  7. 38
  8. 14
  9. 37
  10. 32
  11. 40
  12. 50
  13. 11
  14. 19
  15. 36
  16. 12
  17. 31
  18. 18
  19. 56
  20. 24
  21. 44
  22. 27
  23. 67
  24. 38
  25. 18
  26. 25
  27. 65
  28. 6
  29. 59
  30. 71
  31. 70
  32. 67
  33. 36
  34. 34
  35. 79
  36. 50
  37. 29
  38. 63
  39. 16
  40. 17

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