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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 355 · 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 57. What is the smallest of them?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 24. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 36. What is the smaller number?
  9. 9.One number is 5 times another. Their difference is 148. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 265. What is the largest of them?
  12. 12.The sum of two numbers is 100 and their difference is 32. What is the larger number?
  13. 13.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  14. 14.The sum of two numbers is 146 and their difference is 34. What is the smaller number?
  15. 15.The sum of two numbers is 48 and their difference is 18. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 5 consecutive numbers is 35. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 37. What is the smaller number?
  19. 19.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?
  20. 20.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?
  21. 21.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  22. 22.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  26. 26.The sum of two numbers is 75 and their difference is 5. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 81. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 82. What is the largest of them?
  29. 29.One number is 3 times another. Their difference is 78. What is the smaller number?
  30. 30.One number is 4 times another. Their difference is 54. What is the smaller number?
  31. 31.One number is 4 times another. Their difference is 39. What is the smaller number?
  32. 32.The sum of two numbers is 56 and their difference is 14. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 30. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of 5 consecutive numbers is 285. What is the largest of them?
  38. 38.One number is 2 times another. Their difference is 18. What is the smaller number?
  39. 39.One number is 2 times another. Their difference is 11. What is the smaller number?
  40. 40.The sum of two numbers is 70 and their difference is 6. What is the smaller number?

Answer key

  1. 18
  2. 37
  3. 24
  4. 59
  5. 79
  6. 13
  7. 9
  8. 9
  9. 37
  10. 21
  11. 55
  12. 66
  13. 21
  14. 56
  15. 15
  16. 79
  17. 9
  18. 37
  19. 45
  20. 34
  21. 29
  22. 8
  23. 20
  24. 78
  25. 45
  26. 35
  27. 28
  28. 22
  29. 39
  30. 18
  31. 13
  32. 21
  33. 30
  34. 23
  35. 11
  36. 47
  37. 59
  38. 18
  39. 11
  40. 32

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