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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 980 · 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 4 consecutive odd numbers is 256. What is the largest of them?
  2. 2.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of two numbers is 149 and their difference is 29. What is the larger number?
  5. 5.One number is 6 times another. Their difference is 125. What is the smaller number?
  6. 6.The sum of two numbers is 70 and their difference is 58. What is the larger number?
  7. 7.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  8. 8.The sum of two numbers is 28 and their difference is 14. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 40. What is the smaller number?
  10. 10.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?
  11. 11.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?
  12. 12.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?
  13. 13.One number is 4 times another. Their difference is 57. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.The sum of 3 consecutive numbers is 117. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 126. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 290. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 182. What is the largest of them?
  22. 22.The sum of two numbers is 22 and their difference is 4. What is the larger number?
  23. 23.The sum of two numbers is 30 and their difference is 6. What is the larger number?
  24. 24.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.One number is 2 times another. Their difference is 10. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.The sum of two numbers is 143 and their difference is 33. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  30. 30.The sum of two numbers is 122 and their difference is 40. What is the larger number?
  31. 31.The sum of two numbers is 126 and their difference is 8. What is the larger number?
  32. 32.The sum of two numbers is 48 and their difference is 20. What is the smaller number?
  33. 33.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?
  34. 34.The sum of two numbers is 145 and their difference is 35. 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 4 consecutive numbers is 146. What is the largest of them?
  37. 37.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?
  38. 38.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.The sum of two numbers is 41 and their difference is 33. What is the larger number?
  40. 40.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?

Answer key

  1. 67
  2. 61
  3. 59
  4. 89
  5. 25
  6. 64
  7. 67
  8. 7
  9. 40
  10. 67
  11. 19
  12. 79
  13. 19
  14. 15
  15. 40
  16. 33
  17. 60
  18. 42
  19. 31
  20. 51
  21. 47
  22. 13
  23. 18
  24. 14
  25. 10
  26. 21
  27. 56
  28. 55
  29. 33
  30. 81
  31. 67
  32. 14
  33. 78
  34. 55
  35. 23
  36. 38
  37. 25
  38. 58
  39. 37
  40. 17

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