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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 685 · 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 10. When the digits swap places, the number goes up by 72. What is the number?
  2. 2.The sum of 5 consecutive numbers is 250. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  7. 7.One number is 2 times another. Their difference is 12. What is the smaller number?
  8. 8.The sum of two numbers is 136 and their difference is 36. What is the smaller number?
  9. 9.The sum of two numbers is 141 and their difference is 35. What is the smaller number?
  10. 10.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?
  11. 11.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  12. 12.One number is 3 times another. Their difference is 72. What is the smaller number?
  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 3 consecutive numbers is 66. What is the smallest of them?
  15. 15.One number is 5 times another. Their difference is 84. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 34. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 60. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  20. 20.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  21. 21.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?
  22. 22.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  24. 24.One number is 5 times another. Their difference is 68. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  26. 26.The sum of two numbers is 70 and their difference is 46. What is the larger number?
  27. 27.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 19 and their difference is 3. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 78. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  36. 36.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  37. 37.The sum of two numbers is 93 and their difference is 33. What is the larger number?
  38. 38.One number is 5 times another. Their difference is 24. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  40. 40.One number is 4 times another. Their difference is 18. What is the smaller number?

Answer key

  1. 19
  2. 52
  3. 24
  4. 6
  5. 89
  6. 13
  7. 12
  8. 50
  9. 53
  10. 24
  11. 27
  12. 36
  13. 45
  14. 21
  15. 21
  16. 34
  17. 20
  18. 13
  19. 81
  20. 12
  21. 59
  22. 79
  23. 28
  24. 17
  25. 49
  26. 58
  27. 36
  28. 47
  29. 67
  30. 29
  31. 8
  32. 44
  33. 26
  34. 46
  35. 17
  36. 72
  37. 63
  38. 6
  39. 69
  40. 6

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