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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 53 · 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 2 times another. Their difference is 15. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 12. 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.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 114. What is the largest of them?
  6. 6.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 75. What is the smaller number?
  8. 8.The sum of two numbers is 116 and their difference is 18. What is the larger number?
  9. 9.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  10. 10.The sum of two numbers is 67 and their difference is 65. What is the larger number?
  11. 11.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  12. 12.The sum of two numbers is 71 and their difference is 35. What is the larger number?
  13. 13.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  16. 16.The sum of two numbers is 33 and their difference is 23. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 60. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 90 and their difference is 40. What is the larger number?
  21. 21.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  27. 27.The sum of two numbers is 57 and their difference is 39. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 27. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 100. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 27. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 18. What is the largest of them?
  39. 39.The sum of two numbers is 21 and their difference is 9. What is the larger number?
  40. 40.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?

Answer key

  1. 15
  2. 6
  3. 78
  4. 13
  5. 30
  6. 42
  7. 15
  8. 67
  9. 69
  10. 66
  11. 86
  12. 53
  13. 43
  14. 37
  15. 38
  16. 5
  17. 67
  18. 12
  19. 25
  20. 65
  21. 38
  22. 23
  23. 10
  24. 82
  25. 71
  26. 53
  27. 9
  28. 27
  29. 21
  30. 39
  31. 25
  32. 13
  33. 18
  34. 10
  35. 57
  36. 19
  37. 39
  38. 7
  39. 15
  40. 18

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