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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 996 · 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 odd numbers is 105. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 74. What is the largest of them?
  4. 4.The sum of two numbers is 69 and their difference is 29. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 265. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 68. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  11. 11.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?
  12. 12.One number is 6 times another. Their difference is 105. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  14. 14.One number is 6 times another. Their difference is 50. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  16. 16.The sum of two numbers is 114 and their difference is 64. What is the smaller number?
  17. 17.The sum of two numbers is 41 and their difference is 9. What is the smaller number?
  18. 18.The sum of two numbers is 30 and their difference is 14. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 96 and their difference is 78. What is the smaller number?
  21. 21.The sum of two numbers is 142 and their difference is 8. What is the larger number?
  22. 22.One number is 6 times another. Their difference is 40. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  24. 24.One number is 3 times another. Their difference is 26. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 15. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 162. What is the largest of them?
  28. 28.The sum of two numbers is 85 and their difference is 81. What is the smaller number?
  29. 29.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?
  30. 30.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  31. 31.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 38. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 12. What is the smaller number?
  36. 36.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?
  37. 37.The sum of two numbers is 146 and their difference is 28. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 144. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 105. What is the smallest of them?

Answer key

  1. 37
  2. 72
  3. 20
  4. 49
  5. 55
  6. 23
  7. 11
  8. 44
  9. 34
  10. 17
  11. 38
  12. 21
  13. 83
  14. 10
  15. 54
  16. 25
  17. 16
  18. 8
  19. 24
  20. 9
  21. 75
  22. 8
  23. 52
  24. 13
  25. 3
  26. 62
  27. 42
  28. 2
  29. 45
  30. 18
  31. 8
  32. 19
  33. 13
  34. 23
  35. 4
  36. 89
  37. 59
  38. 36
  39. 13
  40. 19

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