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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 660 · 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 4 consecutive odd numbers is 152. What is the largest of them?
  2. 2.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?
  3. 3.One number is 3 times another. Their difference is 54. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 72. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 21 and their difference is 1. What is the smaller number?
  8. 8.The sum of two numbers is 58 and their difference is 26. What is the larger number?
  9. 9.The sum of 3 consecutive numbers is 42. What is the largest of them?
  10. 10.The sum of two numbers is 70 and their difference is 4. What is the larger number?
  11. 11.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of two numbers is 112 and their difference is 40. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 38. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 135. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 206. What is the largest of them?
  16. 16.The sum of two numbers is 28 and their difference is 22. What is the larger number?
  17. 17.One number is 6 times another. Their difference is 70. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 38. What is the smaller number?
  19. 19.The sum of two numbers is 113 and their difference is 3. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  23. 23.The sum of two numbers is 93 and their difference is 15. What is the smaller number?
  24. 24.The sum of two numbers is 127 and their difference is 9. What is the larger number?
  25. 25.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  26. 26.One number is 3 times another. Their difference is 6. What is the smaller number?
  27. 27.The sum of two numbers is 39 and their difference is 33. What is the larger number?
  28. 28.One number is 3 times another. Their difference is 64. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 178. What is the largest of them?
  30. 30.One number is 3 times another. Their difference is 20. What is the smaller number?
  31. 31.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?
  32. 32.The sum of two numbers is 116 and their difference is 26. What is the larger number?
  33. 33.The sum of two numbers is 33 and their difference is 15. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  35. 35.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?
  36. 36.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?
  37. 37.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?
  38. 38.The sum of two numbers is 139 and their difference is 7. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  40. 40.The sum of 5 consecutive numbers is 100. What is the smallest of them?

Answer key

  1. 41
  2. 89
  3. 27
  4. 36
  5. 19
  6. 18
  7. 10
  8. 42
  9. 15
  10. 37
  11. 47
  12. 36
  13. 19
  14. 46
  15. 53
  16. 25
  17. 14
  18. 38
  19. 55
  20. 26
  21. 78
  22. 55
  23. 39
  24. 68
  25. 64
  26. 3
  27. 36
  28. 32
  29. 46
  30. 10
  31. 16
  32. 71
  33. 24
  34. 77
  35. 19
  36. 67
  37. 46
  38. 66
  39. 49
  40. 18

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