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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 662 · 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 20. What is the smaller number?
  2. 2.One number is 5 times another. Their difference is 160. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 171. What is the largest of them?
  4. 4.The sum of two numbers is 34 and their difference is 4. What is the larger number?
  5. 5.The sum of 4 consecutive numbers is 82. What is the largest of them?
  6. 6.One number is 5 times another. Their difference is 144. What is the smaller number?
  7. 7.One number is 6 times another. Their difference is 170. What is the smaller number?
  8. 8.One number is 6 times another. Their difference is 30. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  11. 11.The sum of 3 consecutive numbers is 90. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.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?
  14. 14.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  15. 15.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 46. What is the largest of them?
  21. 21.The sum of two numbers is 130 and their difference is 14. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  23. 23.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?
  24. 24.One number is 2 times another. Their difference is 26. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 19. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 62. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 160. What is the smaller number?
  29. 29.One number is 3 times another. Their difference is 80. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 13. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 194. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 37. What is the smaller number?
  34. 34.The sum of two numbers is 50 and their difference is 32. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 165. What is the largest of them?
  37. 37.One number is 2 times another. Their difference is 40. What is the smaller number?
  38. 38.The sum of two numbers is 60 and their difference is 58. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 4
  2. 40
  3. 58
  4. 19
  5. 22
  6. 36
  7. 34
  8. 6
  9. 17
  10. 16
  11. 31
  12. 16
  13. 67
  14. 28
  15. 17
  16. 71
  17. 54
  18. 16
  19. 62
  20. 13
  21. 58
  22. 69
  23. 89
  24. 26
  25. 58
  26. 19
  27. 31
  28. 32
  29. 40
  30. 13
  31. 59
  32. 50
  33. 37
  34. 9
  35. 12
  36. 35
  37. 40
  38. 1
  39. 37
  40. 36

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