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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 282 · 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 48 and their difference is 20. What is the larger number?
  2. 2.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  3. 3.The sum of two numbers is 30 and their difference is 28. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  5. 5.The sum of two numbers is 52 and their difference is 6. What is the larger number?
  6. 6.The sum of two numbers is 181 and their difference is 11. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 8. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 4 consecutive numbers is 162. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  11. 11.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 39. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  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 148 and their difference is 14. What is the smaller number?
  16. 16.The sum of two numbers is 114 and their difference is 14. What is the larger number?
  17. 17.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?
  18. 18.The sum of two numbers is 26 and their difference is 10. What is the larger number?
  19. 19.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 295. What is the largest of them?
  21. 21.The sum of two numbers is 87 and their difference is 5. What is the smaller number?
  22. 22.The sum of two numbers is 141 and their difference is 15. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 54. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  27. 27.The sum of two numbers is 58 and their difference is 34. What is the larger number?
  28. 28.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 40. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 30. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  34. 34.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?
  35. 35.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  36. 36.The sum of two numbers is 137 and their difference is 9. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 177. What is the largest of them?
  38. 38.The sum of two numbers is 105 and their difference is 17. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  40. 40.The sum of two numbers is 25 and their difference is 3. What is the smaller number?

Answer key

  1. 34
  2. 79
  3. 1
  4. 80
  5. 29
  6. 85
  7. 4
  8. 79
  9. 42
  10. 27
  11. 13
  12. 14
  13. 12
  14. 59
  15. 67
  16. 64
  17. 67
  18. 18
  19. 57
  20. 61
  21. 41
  22. 63
  23. 77
  24. 18
  25. 31
  26. 28
  27. 46
  28. 69
  29. 40
  30. 83
  31. 10
  32. 68
  33. 40
  34. 46
  35. 33
  36. 64
  37. 60
  38. 44
  39. 64
  40. 11

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