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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 322 · 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.One number is 6 times another. Their difference is 90. What is the smaller number?
  2. 2.The sum of two numbers is 127 and their difference is 45. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  6. 6.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 15. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  11. 11.The sum of two numbers is 104 and their difference is 70. What is the larger number?
  12. 12.One number is 5 times another. Their difference is 92. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.The sum of two numbers is 54 and their difference is 52. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 42. What is the smaller number?
  16. 16.The sum of two numbers is 33 and their difference is 25. What is the larger number?
  17. 17.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 153. What is the largest of them?
  19. 19.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  23. 23.The sum of two numbers is 49 and their difference is 33. What is the larger number?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 36. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 120. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 51. What is the largest of them?
  29. 29.The sum of two numbers is 43 and their difference is 41. What is the smaller number?
  30. 30.The sum of two numbers is 133 and their difference is 11. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 242. What is the largest of them?
  34. 34.The sum of two numbers is 74 and their difference is 72. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.The sum of two numbers is 43 and their difference is 1. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  38. 38.One number is 3 times another. Their difference is 10. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 4 consecutive numbers is 206. What is the largest of them?

Answer key

  1. 18
  2. 41
  3. 19
  4. 84
  5. 78
  6. 29
  7. 15
  8. 50
  9. 42
  10. 55
  11. 87
  12. 23
  13. 59
  14. 1
  15. 21
  16. 29
  17. 8
  18. 52
  19. 42
  20. 47
  21. 47
  22. 20
  23. 41
  24. 67
  25. 56
  26. 36
  27. 40
  28. 18
  29. 1
  30. 61
  31. 50
  32. 24
  33. 62
  34. 1
  35. 23
  36. 21
  37. 35
  38. 5
  39. 79
  40. 53

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