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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 9 · 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 12. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of two numbers is 87 and their difference is 73. What is the smaller number?
  3. 3.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?
  4. 4.The sum of two numbers is 99 and their difference is 41. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 44. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 50. What is the smaller number?
  13. 13.The sum of two numbers is 133 and their difference is 17. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  17. 17.One number is 5 times another. Their difference is 24. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 45. What is the smaller number?
  21. 21.The sum of two numbers is 81 and their difference is 19. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  23. 23.One number is 3 times another. Their difference is 58. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  27. 27.One number is 4 times another. Their difference is 63. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 38. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 154. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  32. 32.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 34. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 90 and their difference is 52. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 33. What is the smaller number?

Answer key

  1. 57
  2. 7
  3. 79
  4. 29
  5. 52
  6. 6
  7. 23
  8. 67
  9. 25
  10. 22
  11. 20
  12. 10
  13. 58
  14. 76
  15. 38
  16. 71
  17. 6
  18. 28
  19. 52
  20. 15
  21. 31
  22. 7
  23. 29
  24. 40
  25. 73
  26. 53
  27. 21
  28. 11
  29. 40
  30. 13
  31. 19
  32. 12
  33. 34
  34. 56
  35. 34
  36. 5
  37. 26
  38. 36
  39. 19
  40. 11

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