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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 676 · 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 3 times another. Their difference is 20. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  4. 4.One number is 2 times another. Their difference is 26. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  6. 6.One number is 6 times another. Their difference is 40. What is the smaller number?
  7. 7.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?
  8. 8.The sum of two numbers is 58 and their difference is 28. What is the larger number?
  9. 9.The sum of 4 consecutive numbers is 30. What is the largest of them?
  10. 10.One number is 4 times another. Their difference is 45. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 190. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 108. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 40. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 130. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 51. What is the largest of them?
  19. 19.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?
  20. 20.One number is 5 times another. Their difference is 44. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 57. What is the largest of them?
  23. 23.The sum of two numbers is 27 and their difference is 5. What is the larger number?
  24. 24.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  25. 25.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?
  26. 26.One number is 3 times another. Their difference is 38. What is the smaller number?
  27. 27.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?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of 3 consecutive numbers is 33. What is the largest of them?
  30. 30.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?
  31. 31.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 31. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 230. What is the largest of them?
  34. 34.The sum of two numbers is 103 and their difference is 85. What is the larger number?
  35. 35.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 40. What is the smaller number?
  37. 37.The sum of two numbers is 44 and their difference is 26. What is the larger number?
  38. 38.One number is 6 times another. Their difference is 125. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 38. What is the smallest of them?

Answer key

  1. 10
  2. 43
  3. 19
  4. 26
  5. 82
  6. 8
  7. 36
  8. 43
  9. 9
  10. 15
  11. 24
  12. 40
  13. 27
  14. 20
  15. 89
  16. 34
  17. 13
  18. 18
  19. 69
  20. 11
  21. 65
  22. 20
  23. 16
  24. 25
  25. 19
  26. 19
  27. 13
  28. 47
  29. 12
  30. 79
  31. 10
  32. 31
  33. 59
  34. 94
  35. 49
  36. 10
  37. 35
  38. 25
  39. 52
  40. 8

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