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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 23 · 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 3 consecutive numbers is 78. What is the smallest of them?
  2. 2.One number is 3 times another. Their difference is 6. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 98. What is the largest of them?
  7. 7.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?
  8. 8.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?
  9. 9.One number is 4 times another. Their difference is 90. What is the smaller number?
  10. 10.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?
  11. 11.One number is 6 times another. Their difference is 190. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  13. 13.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  14. 14.One number is 3 times another. Their difference is 28. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  18. 18.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?
  19. 19.One number is 4 times another. Their difference is 30. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  21. 21.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  22. 22.The sum of two numbers is 90 and their difference is 20. What is the larger number?
  23. 23.The sum of two numbers is 44 and their difference is 14. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 44. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  27. 27.The sum of two numbers is 39 and their difference is 27. What is the smaller number?
  28. 28.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?
  29. 29.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?
  30. 30.The sum of two numbers is 70 and their difference is 4. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  32. 32.One number is 6 times another. Their difference is 60. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 78. What is the largest of them?
  34. 34.The sum of two numbers is 103 and their difference is 59. What is the larger number?
  35. 35.One number is 5 times another. Their difference is 68. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 36. What is the smaller number?
  37. 37.One number is 6 times another. Their difference is 55. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 246. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  40. 40.The sum of two numbers is 90 and their difference is 24. What is the larger number?

Answer key

  1. 25
  2. 3
  3. 13
  4. 48
  5. 89
  6. 26
  7. 46
  8. 48
  9. 30
  10. 67
  11. 38
  12. 13
  13. 59
  14. 14
  15. 39
  16. 57
  17. 54
  18. 79
  19. 10
  20. 60
  21. 24
  22. 55
  23. 15
  24. 11
  25. 29
  26. 49
  27. 6
  28. 19
  29. 45
  30. 33
  31. 58
  32. 12
  33. 21
  34. 81
  35. 17
  36. 9
  37. 11
  38. 63
  39. 50
  40. 57

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