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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 665 · 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 odd numbers is 56. What is the smallest of them?
  2. 2.The sum of two numbers is 72 and their difference is 62. What is the larger number?
  3. 3.One number is 2 times another. Their difference is 13. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  5. 5.The sum of two numbers is 19 and their difference is 15. What is the larger number?
  6. 6.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  7. 7.One number is 5 times another. Their difference is 24. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  11. 11.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  12. 12.The sum of two numbers is 65 and their difference is 15. What is the larger number?
  13. 13.The sum of two numbers is 87 and their difference is 31. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  17. 17.The sum of two numbers is 148 and their difference is 4. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 50. What is the smaller number?
  19. 19.The sum of two numbers is 78 and their difference is 2. What is the smaller number?
  20. 20.The sum of two numbers is 111 and their difference is 77. What is the smaller number?
  21. 21.One number is 4 times another. Their difference is 36. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 60. What is the smaller number?
  23. 23.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?
  24. 24.One number is 3 times another. Their difference is 20. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 20. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  27. 27.One number is 6 times another. Their difference is 170. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  30. 30.The sum of two numbers is 43 and their difference is 19. What is the larger number?
  31. 31.The sum of two numbers is 91 and their difference is 89. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 206. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  34. 34.The sum of two numbers is 27 and their difference is 3. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of 4 consecutive numbers is 82. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 114. What is the largest of them?
  38. 38.The sum of two numbers is 65 and their difference is 5. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 15. What is the smaller number?

Answer key

  1. 11
  2. 67
  3. 13
  4. 57
  5. 17
  6. 57
  7. 6
  8. 65
  9. 27
  10. 45
  11. 30
  12. 40
  13. 28
  14. 44
  15. 12
  16. 43
  17. 72
  18. 10
  19. 38
  20. 17
  21. 12
  22. 20
  23. 29
  24. 10
  25. 4
  26. 28
  27. 34
  28. 40
  29. 12
  30. 31
  31. 1
  32. 53
  33. 13
  34. 12
  35. 57
  36. 22
  37. 30
  38. 30
  39. 37
  40. 15

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