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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 655 · 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 5 consecutive numbers is 155. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 3 consecutive numbers is 90. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 42. What is the largest of them?
  6. 6.The sum of two numbers is 44 and their difference is 40. What is the smaller number?
  7. 7.The sum of two numbers is 166 and their difference is 14. What is the larger number?
  8. 8.One number is 4 times another. Their difference is 36. What is the smaller number?
  9. 9.The sum of two numbers is 124 and their difference is 20. What is the smaller number?
  10. 10.The sum of two numbers is 36 and their difference is 20. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  12. 12.One number is 5 times another. Their difference is 36. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 16. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  17. 17.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?
  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 two numbers is 86 and their difference is 60. What is the larger number?
  20. 20.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  21. 21.The sum of two numbers is 88 and their difference is 64. What is the larger number?
  22. 22.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 80. What is the smaller number?
  24. 24.One number is 4 times another. Their difference is 27. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  27. 27.One number is 6 times another. Their difference is 150. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 99. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  30. 30.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?
  31. 31.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  32. 32.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?
  33. 33.One number is 6 times another. Their difference is 200. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  36. 36.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?
  37. 37.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?
  38. 38.One number is 6 times another. Their difference is 160. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?

Answer key

  1. 33
  2. 45
  3. 31
  4. 49
  5. 12
  6. 2
  7. 90
  8. 12
  9. 52
  10. 8
  11. 33
  12. 9
  13. 16
  14. 50
  15. 67
  16. 55
  17. 67
  18. 69
  19. 73
  20. 22
  21. 76
  22. 15
  23. 16
  24. 9
  25. 19
  26. 52
  27. 30
  28. 34
  29. 57
  30. 78
  31. 59
  32. 29
  33. 40
  34. 60
  35. 74
  36. 49
  37. 89
  38. 32
  39. 58
  40. 17

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