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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 767 · 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 98 and their difference is 24. What is the larger number?
  2. 2.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?
  3. 3.The sum of two numbers is 54 and their difference is 44. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  5. 5.One number is 4 times another. Their difference is 114. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 39. What is the largest of them?
  10. 10.The sum of two numbers is 23 and their difference is 11. What is the larger number?
  11. 11.The sum of two numbers is 65 and their difference is 17. What is the larger number?
  12. 12.The sum of two numbers is 132 and their difference is 32. What is the larger number?
  13. 13.The sum of 5 consecutive numbers is 295. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 38. What is the smaller number?
  15. 15.The sum of two numbers is 173 and their difference is 3. What is the larger number?
  16. 16.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?
  17. 17.One number is 2 times another. Their difference is 19. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.The sum of two numbers is 68 and their difference is 18. What is the smaller number?
  21. 21.The sum of two numbers is 108 and their difference is 2. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  23. 23.One number is 5 times another. Their difference is 152. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 165. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 21. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 54. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  28. 28.One number is 3 times another. Their difference is 32. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  30. 30.The sum of two numbers is 69 and their difference is 55. What is the larger number?
  31. 31.The sum of 5 consecutive numbers is 160. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 300. What is the largest of them?
  33. 33.One number is 5 times another. Their difference is 148. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  35. 35.The sum of two numbers is 131 and their difference is 55. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  38. 38.The sum of two numbers is 65 and their difference is 21. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 214. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 185. What is the largest of them?

Answer key

  1. 61
  2. 89
  3. 5
  4. 29
  5. 38
  6. 56
  7. 82
  8. 43
  9. 14
  10. 17
  11. 41
  12. 82
  13. 61
  14. 38
  15. 88
  16. 79
  17. 19
  18. 47
  19. 47
  20. 25
  21. 53
  22. 40
  23. 38
  24. 33
  25. 7
  26. 15
  27. 24
  28. 16
  29. 50
  30. 62
  31. 34
  32. 62
  33. 37
  34. 44
  35. 93
  36. 19
  37. 36
  38. 22
  39. 55
  40. 39

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