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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 181 · 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.One number is 2 times another. Their difference is 6. What is the smaller number?
  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 two numbers is 104 and their difference is 70. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 305. What is the largest of them?
  5. 5.One number is 2 times another. Their difference is 17. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  7. 7.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?
  8. 8.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.The sum of two numbers is 115 and their difference is 13. What is the smaller number?
  10. 10.The sum of two numbers is 127 and their difference is 61. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 114. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 200. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 35. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 33. What is the largest of them?
  16. 16.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 52. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  19. 19.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?
  20. 20.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?
  21. 21.One number is 3 times another. Their difference is 24. What is the smaller number?
  22. 22.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?
  23. 23.The sum of two numbers is 60 and their difference is 44. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  26. 26.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.The sum of two numbers is 103 and their difference is 61. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  30. 30.The sum of two numbers is 130 and their difference is 66. What is the larger number?
  31. 31.One number is 3 times another. Their difference is 74. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 80. What is the smaller number?
  37. 37.One number is 5 times another. Their difference is 136. What is the smaller number?
  38. 38.The sum of two numbers is 85 and their difference is 3. What is the larger number?
  39. 39.One number is 6 times another. Their difference is 80. What is the smaller number?
  40. 40.One number is 3 times another. Their difference is 48. What is the smaller number?

Answer key

  1. 6
  2. 89
  3. 17
  4. 63
  5. 17
  6. 61
  7. 58
  8. 25
  9. 51
  10. 33
  11. 39
  12. 40
  13. 9
  14. 43
  15. 12
  16. 68
  17. 26
  18. 49
  19. 45
  20. 34
  21. 12
  22. 57
  23. 8
  24. 79
  25. 45
  26. 58
  27. 12
  28. 21
  29. 51
  30. 98
  31. 37
  32. 35
  33. 54
  34. 37
  35. 35
  36. 20
  37. 34
  38. 44
  39. 16
  40. 24

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