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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 515 · 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 5 consecutive numbers is 55. What is the smallest of them?
  2. 2.One number is 2 times another. Their difference is 29. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  5. 5.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?
  6. 6.One number is 4 times another. Their difference is 15. What is the smaller number?
  7. 7.The sum of two numbers is 139 and their difference is 49. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 153. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  13. 13.One number is 5 times another. Their difference is 40. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 114. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 70. What is the smallest 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 63. What is the number?
  17. 17.The sum of two numbers is 41 and their difference is 5. What is the larger number?
  18. 18.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  19. 19.The sum of two numbers is 16 and their difference is 6. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  22. 22.The sum of two numbers is 94 and their difference is 28. What is the smaller number?
  23. 23.The sum of two numbers is 52 and their difference is 42. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  25. 25.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  27. 27.The sum of two numbers is 39 and their difference is 35. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 31. What is the smaller number?
  29. 29.The sum of two numbers is 39 and their difference is 23. What is the smaller number?
  30. 30.One number is 3 times another. Their difference is 14. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 18. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 63. What is the largest of them?
  34. 34.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?
  35. 35.The sum of 3 consecutive numbers is 27. What is the largest of them?
  36. 36.The sum of two numbers is 58 and their difference is 30. What is the smaller number?
  37. 37.The sum of two numbers is 185 and their difference is 5. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 15. What is the smaller number?
  40. 40.The sum of two numbers is 63 and their difference is 1. What is the larger number?

Answer key

  1. 9
  2. 29
  3. 17
  4. 28
  5. 78
  6. 5
  7. 45
  8. 52
  9. 33
  10. 50
  11. 33
  12. 58
  13. 10
  14. 30
  15. 12
  16. 18
  17. 23
  18. 30
  19. 5
  20. 16
  21. 34
  22. 33
  23. 5
  24. 59
  25. 56
  26. 11
  27. 2
  28. 31
  29. 8
  30. 7
  31. 7
  32. 53
  33. 22
  34. 89
  35. 10
  36. 14
  37. 90
  38. 46
  39. 15
  40. 32

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