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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 283 · 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 two numbers is 120 and their difference is 50. What is the larger number?
  2. 2.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  6. 6.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
  7. 7.The sum of two numbers is 43 and their difference is 1. What is the smaller number?
  8. 8.The sum of two numbers is 31 and their difference is 9. What is the larger number?
  9. 9.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  10. 10.The sum of two numbers is 62 and their difference is 48. What is the larger number?
  11. 11.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 225. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  14. 14.The sum of two numbers is 145 and their difference is 9. What is the larger number?
  15. 15.One number is 5 times another. Their difference is 76. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  17. 17.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 111. What is the smaller number?
  21. 21.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?
  22. 22.One number is 5 times another. Their difference is 60. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  25. 25.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 9. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  28. 28.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?
  29. 29.One number is 3 times another. Their difference is 46. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 48. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 115. What is the largest of them?
  35. 35.The sum of two numbers is 108 and their difference is 54. What is the smaller number?
  36. 36.One number is 6 times another. Their difference is 120. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  38. 38.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?
  39. 39.One number is 2 times another. Their difference is 15. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 69. What is the largest of them?

Answer key

  1. 85
  2. 52
  3. 7
  4. 16
  5. 47
  6. 2
  7. 21
  8. 20
  9. 56
  10. 55
  11. 20
  12. 47
  13. 21
  14. 77
  15. 19
  16. 26
  17. 68
  18. 45
  19. 23
  20. 37
  21. 68
  22. 15
  23. 63
  24. 15
  25. 40
  26. 3
  27. 35
  28. 36
  29. 23
  30. 41
  31. 24
  32. 18
  33. 24
  34. 25
  35. 27
  36. 24
  37. 30
  38. 78
  39. 15
  40. 25

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