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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 424 · 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 120 and their difference is 14. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  7. 7.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  8. 8.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  9. 9.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  10. 10.The sum of two numbers is 70 and their difference is 16. What is the larger number?
  11. 11.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  12. 12.One number is 4 times another. Their difference is 45. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 85. What is the largest of them?
  14. 14.The sum of two numbers is 179 and their difference is 3. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 75. What is the smaller number?
  17. 17.The sum of two numbers is 73 and their difference is 51. What is the larger number?
  18. 18.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 50. What is the largest of them?
  20. 20.The sum of two numbers is 81 and their difference is 1. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 12. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 34. What is the smaller number?
  25. 25.The sum of two numbers is 48 and their difference is 6. What is the smaller number?
  26. 26.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?
  27. 27.One number is 2 times another. Their difference is 16. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 120. What is the smaller number?
  29. 29.The sum of two numbers is 21 and their difference is 5. What is the larger number?
  30. 30.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  32. 32.The sum of two numbers is 107 and their difference is 73. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 27. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  35. 35.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?
  36. 36.One number is 3 times another. Their difference is 10. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 50. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 6. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 78. What is the smallest of them?

Answer key

  1. 53
  2. 28
  3. 47
  4. 78
  5. 69
  6. 36
  7. 29
  8. 61
  9. 67
  10. 43
  11. 55
  12. 15
  13. 19
  14. 88
  15. 60
  16. 15
  17. 62
  18. 5
  19. 14
  20. 40
  21. 14
  22. 79
  23. 12
  24. 17
  25. 21
  26. 48
  27. 16
  28. 30
  29. 13
  30. 44
  31. 49
  32. 17
  33. 10
  34. 50
  35. 14
  36. 5
  37. 21
  38. 12
  39. 6
  40. 24

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