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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 578 · 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 3 consecutive odd numbers is 63. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 20. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 63. What is the largest of them?
  6. 6.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  8. 8.The sum of two numbers is 80 and their difference is 50. What is the smaller number?
  9. 9.The sum of two numbers is 84 and their difference is 42. What is the larger number?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  11. 11.One number is 3 times another. Their difference is 32. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 125. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 42. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 260. What is the largest of them?
  21. 21.The sum of two numbers is 86 and their difference is 56. What is the smaller number?
  22. 22.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?
  23. 23.The sum of two numbers is 71 and their difference is 9. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 27. What is the smaller number?
  29. 29.The sum of two numbers is 70 and their difference is 20. What is the smaller number?
  30. 30.The sum of two numbers is 34 and their difference is 6. What is the larger number?
  31. 31.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.One number is 5 times another. Their difference is 64. What is the smaller number?
  35. 35.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  36. 36.The sum of two numbers is 74 and their difference is 38. What is the larger number?
  37. 37.The sum of 4 consecutive numbers is 186. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 186. What is the largest of them?

Answer key

  1. 23
  2. 76
  3. 5
  4. 27
  5. 22
  6. 57
  7. 18
  8. 15
  9. 63
  10. 18
  11. 16
  12. 19
  13. 51
  14. 27
  15. 14
  16. 38
  17. 48
  18. 34
  19. 66
  20. 54
  21. 15
  22. 89
  23. 31
  24. 35
  25. 31
  26. 17
  27. 30
  28. 27
  29. 25
  30. 20
  31. 14
  32. 16
  33. 24
  34. 16
  35. 48
  36. 56
  37. 48
  38. 23
  39. 34
  40. 64

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