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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 453 · 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 33. What is the smallest of them?
  2. 2.One number is 6 times another. Their difference is 160. What is the smaller 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 even numbers is 204. What is the largest of them?
  5. 5.The sum of two numbers is 151 and their difference is 31. What is the larger number?
  6. 6.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 114. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 13. What is the smaller number?
  9. 9.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?
  10. 10.One number is 2 times another. Their difference is 28. What is the smaller number?
  11. 11.The sum of two numbers is 101 and their difference is 25. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  14. 14.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 36. What is the smaller number?
  16. 16.The sum of two numbers is 94 and their difference is 32. What is the larger number?
  17. 17.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  18. 18.The sum of two numbers is 61 and their difference is 9. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 102. What is the largest of them?
  21. 21.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  24. 24.The sum of two numbers is 47 and their difference is 11. What is the smaller number?
  25. 25.The sum of two numbers is 164 and their difference is 6. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 70. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 54. What is the smaller number?
  28. 28.One number is 4 times another. Their difference is 60. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  30. 30.The sum of two numbers is 63 and their difference is 33. What is the larger number?
  31. 31.The sum of two numbers is 78 and their difference is 14. What is the larger number?
  32. 32.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.One number is 3 times another. Their difference is 36. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 120. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 99. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  39. 39.The sum of two numbers is 48 and their difference is 46. What is the larger number?
  40. 40.The sum of 3 consecutive numbers is 144. What is the largest of them?

Answer key

  1. 9
  2. 32
  3. 79
  4. 70
  5. 91
  6. 33
  7. 30
  8. 13
  9. 17
  10. 28
  11. 38
  12. 16
  13. 19
  14. 38
  15. 36
  16. 63
  17. 16
  18. 26
  19. 41
  20. 35
  21. 24
  22. 13
  23. 57
  24. 18
  25. 85
  26. 35
  27. 18
  28. 20
  29. 64
  30. 48
  31. 46
  32. 61
  33. 69
  34. 18
  35. 41
  36. 19
  37. 33
  38. 28
  39. 47
  40. 49

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