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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 929 · 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 3 times another. Their difference is 6. What is the smaller number?
  2. 2.The sum of two numbers is 17 and their difference is 9. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 108. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 218. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  8. 8.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  9. 9.The sum of two numbers is 123 and their difference is 43. What is the smaller number?
  10. 10.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?
  11. 11.The sum of two numbers is 47 and their difference is 7. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 177. What is the largest of them?
  14. 14.One number is 5 times another. Their difference is 36. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 40. What is the largest of them?
  16. 16.The sum of two numbers is 29 and their difference is 21. What is the larger number?
  17. 17.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  18. 18.One number is 3 times another. Their difference is 78. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 5 consecutive numbers is 225. What is the largest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 18. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.The sum of two numbers is 102 and their difference is 46. What is the larger number?
  29. 29.The sum of two numbers is 120 and their difference is 8. What is the larger number?
  30. 30.The sum of two numbers is 135 and their difference is 27. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 9. What is the smaller number?
  32. 32.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?
  33. 33.One number is 4 times another. Their difference is 66. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 175. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 174. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  37. 37.The sum of two numbers is 20 and their difference is 10. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.The sum of two numbers is 47 and their difference is 33. What is the larger number?
  40. 40.The sum of 3 consecutive numbers is 78. What is the largest of them?

Answer key

  1. 3
  2. 4
  3. 37
  4. 36
  5. 56
  6. 29
  7. 75
  8. 66
  9. 40
  10. 67
  11. 20
  12. 80
  13. 60
  14. 9
  15. 10
  16. 25
  17. 5
  18. 39
  19. 48
  20. 79
  21. 47
  22. 15
  23. 41
  24. 18
  25. 53
  26. 11
  27. 69
  28. 74
  29. 64
  30. 54
  31. 9
  32. 89
  33. 22
  34. 37
  35. 45
  36. 26
  37. 5
  38. 38
  39. 40
  40. 27

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