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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 843 · 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 numbers is 94. What is the largest 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 sum of 4 consecutive numbers is 50. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 142. What is the largest of them?
  5. 5.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?
  6. 6.The sum of two numbers is 128 and their difference is 8. What is the larger number?
  7. 7.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 54. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  14. 14.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  17. 17.The sum of two numbers is 61 and their difference is 29. What is the smaller number?
  18. 18.The sum of two numbers is 54 and their difference is 16. What is the smaller number?
  19. 19.One number is 3 times another. Their difference is 38. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  21. 21.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?
  22. 22.One number is 2 times another. Their difference is 26. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  24. 24.The sum of two numbers is 74 and their difference is 32. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 128. What is the smaller number?
  27. 27.The sum of two numbers is 86 and their difference is 76. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  31. 31.The sum of 5 consecutive numbers is 285. What is the largest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 20. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 148. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 60. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 34. What is the largest of them?
  38. 38.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  39. 39.One number is 5 times another. Their difference is 88. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 226. What is the smallest of them?

Answer key

  1. 25
  2. 69
  3. 11
  4. 37
  5. 79
  6. 68
  7. 21
  8. 10
  9. 27
  10. 15
  11. 35
  12. 61
  13. 29
  14. 13
  15. 23
  16. 37
  17. 16
  18. 19
  19. 19
  20. 19
  21. 13
  22. 26
  23. 82
  24. 53
  25. 38
  26. 32
  27. 5
  28. 26
  29. 43
  30. 28
  31. 59
  32. 36
  33. 35
  34. 4
  35. 37
  36. 30
  37. 10
  38. 51
  39. 22
  40. 55

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