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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 975 · 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 58. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  4. 4.The sum of 5 consecutive numbers is 295. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 96. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 84. What is the largest of them?
  9. 9.The sum of two numbers is 144 and their difference is 16. What is the larger number?
  10. 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  11. 11.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  12. 12.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  13. 13.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?
  14. 14.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 218. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 117. What is the largest of them?
  17. 17.One number is 2 times another. Their difference is 18. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 80. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  20. 20.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of two numbers is 81 and their difference is 65. What is the larger number?
  23. 23.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  25. 25.One number is 4 times another. Their difference is 66. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  27. 27.One number is 4 times another. Their difference is 69. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of two numbers is 25 and their difference is 15. What is the larger number?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 70. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  34. 34.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?
  35. 35.One number is 2 times another. Their difference is 32. What is the smaller number?
  36. 36.The sum of two numbers is 42 and their difference is 10. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 24. What is the smaller number?
  38. 38.The sum of two numbers is 18 and their difference is 8. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 174. What is the smallest of them?

Answer key

  1. 29
  2. 10
  3. 49
  4. 61
  5. 46
  6. 33
  7. 22
  8. 29
  9. 80
  10. 38
  11. 49
  12. 49
  13. 58
  14. 82
  15. 56
  16. 40
  17. 18
  18. 18
  19. 32
  20. 30
  21. 24
  22. 73
  23. 25
  24. 11
  25. 22
  26. 59
  27. 23
  28. 49
  29. 89
  30. 20
  31. 69
  32. 16
  33. 8
  34. 12
  35. 32
  36. 16
  37. 12
  38. 5
  39. 23
  40. 56

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