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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 492 · 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 176. What is the smallest 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.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 28. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 38. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 42. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 10. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 76. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.One number is 5 times another. Their difference is 28. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  16. 16.The sum of two numbers is 40 and their difference is 4. What is the larger number?
  17. 17.The sum of 5 consecutive numbers is 75. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  20. 20.The sum of two numbers is 47 and their difference is 19. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 240. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive numbers is 48. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  30. 30.One number is 2 times another. Their difference is 30. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 26. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 182. What is the largest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 65 and their difference is 25. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 10. What is the smaller number?

Answer key

  1. 41
  2. 89
  3. 19
  4. 12
  5. 16
  6. 14
  7. 38
  8. 29
  9. 13
  10. 15
  11. 5
  12. 38
  13. 37
  14. 7
  15. 19
  16. 22
  17. 17
  18. 69
  19. 43
  20. 14
  21. 57
  22. 50
  23. 9
  24. 19
  25. 36
  26. 26
  27. 78
  28. 17
  29. 5
  30. 30
  31. 51
  32. 11
  33. 49
  34. 59
  35. 13
  36. 47
  37. 67
  38. 20
  39. 7
  40. 10

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