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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 130 · 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 numbers is 82. What is the smallest of them?
  2. 2.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?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  6. 6.The sum of two numbers is 36 and their difference is 24. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 168. What is the largest of them?
  10. 10.One number is 6 times another. Their difference is 180. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  12. 12.The sum of two numbers is 15 and their difference is 13. What is the larger number?
  13. 13.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 54. What is the smaller number?
  16. 16.The sum of two numbers is 90 and their difference is 88. What is the smaller number?
  17. 17.The sum of two numbers is 173 and their difference is 17. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 99. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 54. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 124. What is the smaller number?
  22. 22.The sum of two numbers is 87 and their difference is 29. What is the larger number?
  23. 23.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  24. 24.The sum of two numbers is 39 and their difference is 1. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  26. 26.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?
  27. 27.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.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?
  29. 29.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  32. 32.The sum of 4 consecutive numbers is 102. What is the largest of them?
  33. 33.The sum of two numbers is 104 and their difference is 32. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.The sum of two numbers is 36 and their difference is 30. What is the larger number?
  36. 36.The sum of two numbers is 65 and their difference is 55. What is the larger number?
  37. 37.One number is 6 times another. Their difference is 40. What is the smaller number?
  38. 38.The sum of two numbers is 66 and their difference is 44. What is the larger number?
  39. 39.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?

Answer key

  1. 19
  2. 13
  3. 78
  4. 48
  5. 13
  6. 6
  7. 13
  8. 21
  9. 57
  10. 36
  11. 20
  12. 14
  13. 64
  14. 57
  15. 27
  16. 1
  17. 78
  18. 33
  19. 29
  20. 15
  21. 31
  22. 58
  23. 10
  24. 20
  25. 26
  26. 57
  27. 23
  28. 68
  29. 41
  30. 39
  31. 71
  32. 27
  33. 36
  34. 56
  35. 33
  36. 60
  37. 8
  38. 55
  39. 14
  40. 23

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