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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 321 · 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 66. What is the largest of them?
  2. 2.The sum of two numbers is 163 and their difference is 27. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 245. What is the largest of them?
  4. 4.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?
  5. 5.The sum of two numbers is 29 and their difference is 9. What is the larger number?
  6. 6.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of 3 consecutive numbers is 168. What is the largest of them?
  11. 11.The sum of two numbers is 29 and their difference is 19. What is the larger number?
  12. 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  13. 13.One number is 6 times another. Their difference is 105. What is the smaller number?
  14. 14.One number is 4 times another. Their difference is 57. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 15. What is the smaller number?
  16. 16.The sum of two numbers is 13 and their difference is 11. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 44. What is the smaller number?
  18. 18.One number is 5 times another. Their difference is 40. 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 4 consecutive numbers is 186. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 55. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of 4 consecutive numbers is 78. What is the largest of them?
  25. 25.The sum of two numbers is 118 and their difference is 38. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  27. 27.The sum of two numbers is 119 and their difference is 3. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  29. 29.The sum of two numbers is 102 and their difference is 92. What is the smaller number?
  30. 30.The sum of two numbers is 36 and their difference is 10. What is the larger number?
  31. 31.One number is 2 times another. Their difference is 3. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  33. 33.The sum of two numbers is 117 and their difference is 41. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  35. 35.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?
  36. 36.One number is 6 times another. Their difference is 135. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 63. What is the smaller number?
  38. 38.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?
  39. 39.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  40. 40.The sum of two numbers is 24 and their difference is 12. What is the smaller number?

Answer key

  1. 18
  2. 68
  3. 51
  4. 46
  5. 19
  6. 85
  7. 34
  8. 20
  9. 89
  10. 57
  11. 24
  12. 48
  13. 21
  14. 19
  15. 15
  16. 1
  17. 22
  18. 10
  19. 78
  20. 45
  21. 11
  22. 22
  23. 56
  24. 21
  25. 40
  26. 21
  27. 58
  28. 58
  29. 5
  30. 23
  31. 3
  32. 16
  33. 38
  34. 39
  35. 79
  36. 27
  37. 21
  38. 67
  39. 41
  40. 6

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