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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 452 · 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 39 and their difference is 1. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 104. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 11. What is the smaller number?
  5. 5.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?
  6. 6.The sum of two numbers is 71 and their difference is 47. What is the smaller number?
  7. 7.One number is 5 times another. Their difference is 108. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 16. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 108 and their difference is 20. What is the larger number?
  12. 12.The sum of 3 consecutive numbers is 168. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 6. What is the smaller number?
  14. 14.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?
  15. 15.The sum of two numbers is 40 and their difference is 10. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  17. 17.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  19. 19.One number is 3 times another. Their difference is 30. What is the smaller number?
  20. 20.The sum of two numbers is 142 and their difference is 48. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 50. What is the smaller number?
  25. 25.The sum of two numbers is 38 and their difference is 6. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  27. 27.One number is 6 times another. Their difference is 195. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 28. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 102. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 180. What is the largest of them?
  36. 36.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  37. 37.One number is 3 times another. Their difference is 54. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 24. What is the smaller number?
  40. 40.The sum of two numbers is 59 and their difference is 35. What is the smaller number?

Answer key

  1. 19
  2. 10
  3. 26
  4. 11
  5. 19
  6. 12
  7. 27
  8. 8
  9. 84
  10. 46
  11. 64
  12. 57
  13. 6
  14. 59
  15. 15
  16. 22
  17. 80
  18. 31
  19. 15
  20. 47
  21. 50
  22. 52
  23. 50
  24. 10
  25. 16
  26. 54
  27. 39
  28. 22
  29. 89
  30. 10
  31. 7
  32. 66
  33. 36
  34. 27
  35. 61
  36. 49
  37. 27
  38. 23
  39. 24
  40. 12

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