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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 540 · 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 two numbers is 11 and their difference is 9. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 34. What is the largest of them?
  4. 4.One number is 2 times another. Their difference is 21. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  6. 6.The sum of two numbers is 187 and their difference is 1. What is the smaller number?
  7. 7.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?
  8. 8.One number is 3 times another. Their difference is 62. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 44. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of two numbers is 25 and their difference is 7. What is the larger number?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  14. 14.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  15. 15.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 40. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 186. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 48. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  24. 24.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  25. 25.The sum of two numbers is 128 and their difference is 54. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 36. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.One number is 6 times another. Their difference is 100. What is the smaller number?
  29. 29.One number is 4 times another. Their difference is 57. What is the smaller number?
  30. 30.The sum of two numbers is 90 and their difference is 4. What is the larger number?
  31. 31.The sum of 5 consecutive numbers is 195. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 255. What is the largest of them?
  33. 33.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?
  34. 34.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?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  37. 37.The sum of two numbers is 32 and their difference is 26. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?

Answer key

  1. 1
  2. 18
  3. 10
  4. 21
  5. 56
  6. 93
  7. 78
  8. 31
  9. 22
  10. 75
  11. 69
  12. 16
  13. 28
  14. 68
  15. 58
  16. 39
  17. 10
  18. 51
  19. 48
  20. 17
  21. 79
  22. 46
  23. 10
  24. 22
  25. 91
  26. 18
  27. 15
  28. 20
  29. 19
  30. 47
  31. 41
  32. 53
  33. 57
  34. 59
  35. 89
  36. 17
  37. 3
  38. 17
  39. 48
  40. 47

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