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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 300 · 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 38 and their difference is 24. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 62. What is the smaller number?
  3. 3.One number is 6 times another. Their difference is 75. What is the smaller number?
  4. 4.The sum of two numbers is 38 and their difference is 22. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  6. 6.The sum of two numbers is 22 and their difference is 2. What is the larger number?
  7. 7.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  8. 8.One number is 4 times another. Their difference is 39. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 114. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 174. What is the largest of them?
  15. 15.One number is 5 times another. Their difference is 124. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 27. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 4 consecutive numbers is 146. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  20. 20.The sum of two numbers is 120 and their difference is 14. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 194. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  23. 23.One number is 2 times another. Their difference is 16. What is the smaller number?
  24. 24.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?
  25. 25.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  26. 26.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 20. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  31. 31.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?
  32. 32.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  33. 33.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?
  34. 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  35. 35.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  38. 38.The sum of two numbers is 31 and their difference is 9. What is the larger number?
  39. 39.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.The sum of 5 consecutive numbers is 85. What is the smallest of them?

Answer key

  1. 7
  2. 31
  3. 15
  4. 30
  5. 32
  6. 12
  7. 40
  8. 13
  9. 30
  10. 52
  11. 25
  12. 36
  13. 20
  14. 59
  15. 31
  16. 27
  17. 37
  18. 38
  19. 21
  20. 53
  21. 50
  22. 25
  23. 16
  24. 19
  25. 28
  26. 84
  27. 6
  28. 32
  29. 20
  30. 49
  31. 69
  32. 13
  33. 79
  34. 29
  35. 17
  36. 71
  37. 9
  38. 20
  39. 46
  40. 15

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