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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 362 · 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 6 times another. Their difference is 160. What is the smaller number?
  2. 2.The sum of two numbers is 161 and their difference is 7. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 40. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  9. 9.One number is 2 times another. Their difference is 21. What is the smaller number?
  10. 10.The sum of two numbers is 95 and their difference is 87. What is the larger number?
  11. 11.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  12. 12.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  13. 13.The sum of two numbers is 105 and their difference is 43. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 8. What is the smaller number?
  18. 18.The sum of two numbers is 99 and their difference is 27. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  23. 23.The sum of two numbers is 95 and their difference is 9. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 246. What is the largest of them?
  26. 26.The sum of two numbers is 32 and their difference is 12. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 245. What is the largest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 165. What is the largest of them?
  30. 30.One number is 2 times another. Their difference is 9. What is the smaller number?
  31. 31.The sum of two numbers is 102 and their difference is 20. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 72. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 75. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of two numbers is 68 and their difference is 38. What is the larger number?
  38. 38.One number is 6 times another. Their difference is 50. 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 two numbers is 154 and their difference is 24. What is the smaller number?

Answer key

  1. 32
  2. 77
  3. 10
  4. 12
  5. 54
  6. 10
  7. 46
  8. 36
  9. 21
  10. 91
  11. 27
  12. 28
  13. 31
  14. 63
  15. 70
  16. 45
  17. 4
  18. 36
  19. 64
  20. 56
  21. 89
  22. 26
  23. 52
  24. 17
  25. 63
  26. 10
  27. 51
  28. 23
  29. 56
  30. 9
  31. 41
  32. 25
  33. 17
  34. 65
  35. 12
  36. 56
  37. 53
  38. 10
  39. 58
  40. 65

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