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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 279 · 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 two numbers is 95 and their difference is 81. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 8. 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 16. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 65. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  7. 7.The sum of two numbers is 76 and their difference is 56. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 159. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 175. What is the smaller number?
  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 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?
  15. 15.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 88. What is the smaller number?
  17. 17.The sum of two numbers is 99 and their difference is 79. What is the larger number?
  18. 18.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?
  19. 19.One number is 4 times another. Their difference is 105. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  25. 25.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 5. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 56 and their difference is 32. What is the larger number?
  29. 29.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  30. 30.The sum of two numbers is 172 and their difference is 20. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 174. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  33. 33.One number is 6 times another. Their difference is 45. What is the smaller number?
  34. 34.The sum of two numbers is 107 and their difference is 91. What is the smaller number?
  35. 35.The sum of two numbers is 22 and their difference is 20. What is the larger number?
  36. 36.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  37. 37.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  38. 38.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  39. 39.The sum of two numbers is 43 and their difference is 1. What is the larger number?
  40. 40.The sum of 3 consecutive odd numbers is 231. What is the largest of them?

Answer key

  1. 7
  2. 26
  3. 79
  4. 26
  5. 13
  6. 8
  7. 10
  8. 54
  9. 44
  10. 82
  11. 32
  12. 35
  13. 58
  14. 38
  15. 19
  16. 22
  17. 89
  18. 45
  19. 35
  20. 33
  21. 20
  22. 52
  23. 15
  24. 16
  25. 41
  26. 5
  27. 34
  28. 44
  29. 52
  30. 76
  31. 45
  32. 10
  33. 9
  34. 8
  35. 21
  36. 56
  37. 27
  38. 26
  39. 22
  40. 79

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