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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 312 · 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 4 consecutive odd numbers is 144. What is the smallest of them?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.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?
  5. 5.One number is 2 times another. Their difference is 36. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  7. 7.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  8. 8.The sum of two numbers is 17 and their difference is 3. What is the larger number?
  9. 9.The sum of two numbers is 21 and their difference is 17. What is the larger number?
  10. 10.The sum of 4 consecutive numbers is 54. 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 9. What is the number?
  12. 12.The sum of two numbers is 78 and their difference is 18. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 180. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  15. 15.The sum of two numbers is 23 and their difference is 5. What is the larger number?
  16. 16.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 8. What is the smaller number?
  20. 20.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  22. 22.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?
  23. 23.One number is 6 times another. Their difference is 125. What is the smaller number?
  24. 24.The sum of two numbers is 61 and their difference is 35. What is the larger number?
  25. 25.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?
  26. 26.The sum of two numbers is 30 and their difference is 16. What is the smaller number?
  27. 27.One number is 6 times another. Their difference is 85. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 40. What is the smaller number?
  32. 32.The sum of two numbers is 110 and their difference is 4. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  35. 35.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  36. 36.One number is 3 times another. Their difference is 14. What is the smaller number?
  37. 37.The sum of two numbers is 72 and their difference is 50. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 52. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 120. What is the largest of them?
  40. 40.The sum of two numbers is 20 and their difference is 10. What is the smaller number?

Answer key

  1. 33
  2. 69
  3. 12
  4. 15
  5. 36
  6. 27
  7. 58
  8. 10
  9. 19
  10. 12
  11. 34
  12. 30
  13. 38
  14. 40
  15. 14
  16. 17
  17. 45
  18. 7
  19. 8
  20. 7
  21. 15
  22. 89
  23. 25
  24. 48
  25. 78
  26. 7
  27. 17
  28. 18
  29. 72
  30. 29
  31. 8
  32. 57
  33. 25
  34. 14
  35. 67
  36. 7
  37. 11
  38. 13
  39. 41
  40. 5

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