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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 286 · 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 129 and their difference is 5. What is the larger number?
  2. 2.One number is 2 times another. Their difference is 6. What is the smaller number?
  3. 3.The sum of two numbers is 74 and their difference is 68. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  6. 6.The sum of two numbers is 83 and their difference is 67. What is the smaller number?
  7. 7.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?
  8. 8.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?
  9. 9.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 34. What is the smaller number?
  12. 12.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?
  13. 13.The sum of two numbers is 159 and their difference is 23. What is the larger number?
  14. 14.The sum of 4 consecutive numbers is 86. 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 sum of 4 consecutive numbers is 134. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 39. What is the largest of them?
  18. 18.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?
  19. 19.One number is 3 times another. Their difference is 10. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 210. What is the largest of them?
  21. 21.The sum of two numbers is 71 and their difference is 5. What is the larger number?
  22. 22.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?
  23. 23.One number is 2 times another. Their difference is 11. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 17. What is the smaller number?
  25. 25.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?
  26. 26.One number is 6 times another. Their difference is 65. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 117. What is the smaller number?
  28. 28.The sum of two numbers is 61 and their difference is 19. What is the smaller number?
  29. 29.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?
  30. 30.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.One number is 3 times another. Their difference is 58. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 30. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 70. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 72. What is the largest of them?
  35. 35.The sum of two numbers is 55 and their difference is 5. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 24. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 296. What is the largest of them?

Answer key

  1. 67
  2. 6
  3. 3
  4. 26
  5. 13
  6. 8
  7. 67
  8. 47
  9. 25
  10. 78
  11. 17
  12. 46
  13. 91
  14. 23
  15. 12
  16. 35
  17. 14
  18. 24
  19. 5
  20. 54
  21. 38
  22. 68
  23. 11
  24. 17
  25. 58
  26. 13
  27. 39
  28. 21
  29. 38
  30. 13
  31. 29
  32. 30
  33. 14
  34. 25
  35. 25
  36. 24
  37. 54
  38. 71
  39. 19
  40. 77

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