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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 164 · 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.One number is 6 times another. Their difference is 200. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 102. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.One number is 3 times another. Their difference is 34. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 130. What is the largest of them?
  6. 6.One number is 6 times another. Their difference is 70. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 105. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 30. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  10. 10.One number is 3 times another. Their difference is 76. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  15. 15.The sum of two numbers is 14 and their difference is 8. What is the larger number?
  16. 16.The sum of two numbers is 95 and their difference is 83. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 60. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  20. 20.The sum of two numbers is 117 and their difference is 35. What is the larger number?
  21. 21.One number is 4 times another. Their difference is 39. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 24. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 81. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  27. 27.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?
  28. 28.The sum of two numbers is 46 and their difference is 22. What is the larger number?
  29. 29.One number is 3 times another. Their difference is 64. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 52. What is the smaller number?
  32. 32.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?
  33. 33.The sum of two numbers is 96 and their difference is 12. What is the larger number?
  34. 34.The sum of two numbers is 39 and their difference is 1. What is the larger number?
  35. 35.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?
  36. 36.The sum of 3 consecutive numbers is 171. What is the largest of them?
  37. 37.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 21. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 75. What is the largest of them?
  40. 40.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?

Answer key

  1. 40
  2. 35
  3. 34
  4. 17
  5. 28
  6. 14
  7. 23
  8. 11
  9. 39
  10. 38
  11. 57
  12. 26
  13. 45
  14. 12
  15. 11
  16. 6
  17. 12
  18. 15
  19. 57
  20. 76
  21. 13
  22. 19
  23. 18
  24. 24
  25. 27
  26. 48
  27. 69
  28. 34
  29. 32
  30. 11
  31. 13
  32. 46
  33. 54
  34. 20
  35. 47
  36. 58
  37. 65
  38. 21
  39. 26
  40. 68

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