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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 781 · 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 97 and their difference is 29. What is the larger number?
  2. 2.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.The sum of 5 consecutive numbers is 235. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  6. 6.One number is 5 times another. Their difference is 16. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 141. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  9. 9.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  11. 11.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 183. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 128. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 165. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 40. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 70. What is the largest of them?
  21. 21.The sum of two numbers is 180 and their difference is 18. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 54. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 45. What is the largest of them?
  26. 26.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 180. What is the largest of them?
  28. 28.The sum of two numbers is 25 and their difference is 3. What is the larger number?
  29. 29.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.The sum of 5 consecutive numbers is 210. What is the largest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 67 and their difference is 7. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  37. 37.The sum of two numbers is 102 and their difference is 40. What is the smaller number?
  38. 38.One number is 6 times another. Their difference is 195. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 214. What is the smallest of them?

Answer key

  1. 63
  2. 67
  3. 49
  4. 27
  5. 49
  6. 4
  7. 48
  8. 25
  9. 6
  10. 9
  11. 40
  12. 62
  13. 32
  14. 22
  15. 56
  16. 28
  17. 18
  18. 30
  19. 10
  20. 19
  21. 99
  22. 59
  23. 40
  24. 19
  25. 16
  26. 18
  27. 38
  28. 14
  29. 55
  30. 31
  31. 17
  32. 44
  33. 46
  34. 30
  35. 30
  36. 35
  37. 31
  38. 39
  39. 46
  40. 52

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