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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 990 · 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 305. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  3. 3.The sum of two numbers is 102 and their difference is 52. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 29. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  8. 8.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?
  9. 9.One number is 4 times another. Their difference is 54. What is the smaller number?
  10. 10.The sum of two numbers is 69 and their difference is 39. What is the larger number?
  11. 11.The sum of two numbers is 31 and their difference is 9. What is the larger number?
  12. 12.The sum of 3 consecutive numbers is 24. What is the largest of them?
  13. 13.The sum of two numbers is 85 and their difference is 17. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  15. 15.One number is 4 times another. Their difference is 9. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  18. 18.The sum of two numbers is 24 and their difference is 14. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 46 and their difference is 18. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  23. 23.One number is 5 times another. Their difference is 64. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  26. 26.The sum of two numbers is 79 and their difference is 69. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  29. 29.One number is 4 times another. Their difference is 84. What is the smaller number?
  30. 30.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?
  31. 31.The sum of two numbers is 56 and their difference is 10. What is the larger number?
  32. 32.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  34. 34.The sum of two numbers is 91 and their difference is 47. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 185. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 42. 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 9. What is the number?
  40. 40.The sum of 3 consecutive numbers is 51. What is the largest of them?

Answer key

  1. 63
  2. 13
  3. 25
  4. 47
  5. 29
  6. 58
  7. 10
  8. 89
  9. 18
  10. 54
  11. 20
  12. 9
  13. 34
  14. 49
  15. 3
  16. 20
  17. 6
  18. 5
  19. 78
  20. 14
  21. 31
  22. 77
  23. 16
  24. 51
  25. 18
  26. 5
  27. 39
  28. 46
  29. 28
  30. 46
  31. 33
  32. 81
  33. 19
  34. 22
  35. 37
  36. 37
  37. 60
  38. 21
  39. 67
  40. 18

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