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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 267 · 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 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?
  2. 2.The sum of two numbers is 103 and their difference is 73. What is the smaller number?
  3. 3.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?
  4. 4.One number is 3 times another. Their difference is 10. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  7. 7.The sum of two numbers is 21 and their difference is 9. What is the smaller number?
  8. 8.The sum of two numbers is 46 and their difference is 14. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  12. 12.The sum of two numbers is 45 and their difference is 15. What is the smaller number?
  13. 13.The sum of two numbers is 150 and their difference is 32. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 81. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  18. 18.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  19. 19.The sum of two numbers is 102 and their difference is 80. What is the larger number?
  20. 20.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 235. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  23. 23.The sum of two numbers is 61 and their difference is 31. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 16. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  26. 26.The sum of two numbers is 84 and their difference is 70. What is the larger number?
  27. 27.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 177. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  34. 34.The sum of two numbers is 60 and their difference is 32. What is the smaller number?
  35. 35.The sum of two numbers is 109 and their difference is 81. What is the larger number?
  36. 36.One number is 6 times another. Their difference is 35. What is the smaller number?
  37. 37.One number is 5 times another. Their difference is 56. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  40. 40.One number is 5 times another. Their difference is 160. What is the smaller number?

Answer key

  1. 89
  2. 15
  3. 78
  4. 5
  5. 38
  6. 44
  7. 6
  8. 16
  9. 10
  10. 37
  11. 19
  12. 15
  13. 59
  14. 64
  15. 77
  16. 27
  17. 10
  18. 30
  19. 91
  20. 54
  21. 49
  22. 23
  23. 15
  24. 4
  25. 76
  26. 77
  27. 43
  28. 57
  29. 48
  30. 53
  31. 12
  32. 60
  33. 10
  34. 14
  35. 95
  36. 7
  37. 14
  38. 41
  39. 26
  40. 40

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