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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 621 · 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 41 and their difference is 27. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 8. What is the smaller number?
  3. 3.The sum of two numbers is 58 and their difference is 16. What is the larger number?
  4. 4.The sum of 3 consecutive numbers is 57. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 206. What is the largest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  9. 9.The sum of two numbers is 38 and their difference is 8. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  11. 11.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?
  12. 12.The sum of 3 consecutive numbers is 93. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 147. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  15. 15.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  16. 16.The sum of two numbers is 127 and their difference is 41. What is the larger number?
  17. 17.The sum of two numbers is 143 and their difference is 21. What is the larger number?
  18. 18.One number is 5 times another. Their difference is 144. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 275. What is the largest of them?
  20. 20.The sum of two numbers is 47 and their difference is 9. What is the smaller number?
  21. 21.The sum of two numbers is 92 and their difference is 8. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  23. 23.The sum of two numbers is 130 and their difference is 10. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  26. 26.The sum of two numbers is 17 and their difference is 9. What is the smaller number?
  27. 27.The sum of two numbers is 172 and their difference is 22. What is the larger number?
  28. 28.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?
  29. 29.The sum of two numbers is 144 and their difference is 4. What is the smaller number?
  30. 30.The sum of two numbers is 97 and their difference is 31. What is the smaller number?
  31. 31.One number is 5 times another. Their difference is 48. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 111. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 146. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 132. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 30. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?

Answer key

  1. 34
  2. 4
  3. 37
  4. 20
  5. 23
  6. 53
  7. 89
  8. 79
  9. 15
  10. 25
  11. 46
  12. 32
  13. 50
  14. 38
  15. 60
  16. 84
  17. 82
  18. 36
  19. 57
  20. 19
  21. 42
  22. 82
  23. 60
  24. 63
  25. 55
  26. 4
  27. 97
  28. 78
  29. 70
  30. 33
  31. 12
  32. 34
  33. 38
  34. 33
  35. 38
  36. 33
  37. 15
  38. 39
  39. 23
  40. 18

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