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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 797 · 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 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?
  2. 2.One number is 6 times another. Their difference is 200. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 81. What is the largest of them?
  4. 4.One number is 4 times another. Their difference is 87. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.One number is 2 times another. Their difference is 26. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  8. 8.The sum of two numbers is 38 and their difference is 14. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  11. 11.The sum of two numbers is 77 and their difference is 7. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 99. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 78. What is the smaller number?
  15. 15.The sum of two numbers is 12 and their difference is 10. What is the larger number?
  16. 16.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  17. 17.The sum of two numbers is 65 and their difference is 45. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 122. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  22. 22.The sum of 4 consecutive numbers is 70. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  24. 24.The sum of 5 consecutive numbers is 115. What is the largest of them?
  25. 25.The sum of two numbers is 87 and their difference is 35. What is the larger number?
  26. 26.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?
  27. 27.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 114. What is the largest of them?
  31. 31.The sum of two numbers is 64 and their difference is 2. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 72. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  39. 39.The sum of two numbers is 76 and their difference is 10. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 52. What is the largest of them?

Answer key

  1. 58
  2. 40
  3. 28
  4. 29
  5. 35
  6. 26
  7. 53
  8. 12
  9. 36
  10. 25
  11. 35
  12. 31
  13. 33
  14. 39
  15. 11
  16. 10
  17. 10
  18. 32
  19. 14
  20. 49
  21. 6
  22. 19
  23. 29
  24. 25
  25. 61
  26. 89
  27. 41
  28. 73
  29. 24
  30. 39
  31. 31
  32. 32
  33. 24
  34. 15
  35. 23
  36. 9
  37. 52
  38. 63
  39. 43
  40. 16

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