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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 197 · 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 3 consecutive odd numbers is 243. What is the largest of them?
  2. 2.One number is 6 times another. Their difference is 115. 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 54. What is the number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 168. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  17. 17.The sum of two numbers is 74 and their difference is 70. What is the larger number?
  18. 18.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 4. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  24. 24.The sum of two numbers is 133 and their difference is 29. What is the larger number?
  25. 25.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  26. 26.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  27. 27.One number is 6 times another. Their difference is 85. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 122. What is the largest of them?
  29. 29.One number is 5 times another. Their difference is 104. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 23. What is the smaller number?
  31. 31.The sum of two numbers is 61 and their difference is 21. What is the larger number?
  32. 32.One number is 2 times another. Their difference is 11. What is the smaller number?
  33. 33.The sum of two numbers is 28 and their difference is 24. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  38. 38.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?
  39. 39.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  40. 40.The sum of two numbers is 21 and their difference is 3. What is the smaller number?

Answer key

  1. 83
  2. 23
  3. 28
  4. 89
  5. 57
  6. 75
  7. 71
  8. 65
  9. 37
  10. 78
  11. 25
  12. 59
  13. 14
  14. 35
  15. 17
  16. 33
  17. 72
  18. 12
  19. 52
  20. 39
  21. 60
  22. 4
  23. 69
  24. 81
  25. 26
  26. 56
  27. 17
  28. 32
  29. 26
  30. 23
  31. 41
  32. 11
  33. 2
  34. 28
  35. 57
  36. 13
  37. 6
  38. 49
  39. 48
  40. 9

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