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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 824 · 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 numbers is 99. What is the smallest of them?
  2. 2.One number is 6 times another. Their difference is 15. What is the smaller number?
  3. 3.The sum of two numbers is 40 and their difference is 24. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 50. What is the largest of them?
  5. 5.The sum of two numbers is 124 and their difference is 10. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  7. 7.The sum of two numbers is 46 and their difference is 30. What is the larger number?
  8. 8.The sum of 5 consecutive numbers is 120. What is the largest of them?
  9. 9.The sum of two numbers is 87 and their difference is 85. What is the larger number?
  10. 10.The sum of two numbers is 31 and their difference is 29. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 146. What is the largest of them?
  12. 12.The sum of two numbers is 86 and their difference is 38. What is the larger number?
  13. 13.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of 4 consecutive numbers is 170. What is the largest of them?
  17. 17.The sum of two numbers is 20 and their difference is 8. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  20. 20.The sum of two numbers is 71 and their difference is 45. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 31. What is the smaller number?
  22. 22.The sum of two numbers is 82 and their difference is 2. What is the larger number?
  23. 23.One number is 3 times another. Their difference is 64. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  25. 25.The sum of two numbers is 40 and their difference is 22. What is the larger number?
  26. 26.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 158. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 72. What is the smaller number?
  32. 32.One number is 5 times another. Their difference is 20. What is the smaller number?
  33. 33.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?
  34. 34.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?
  35. 35.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  37. 37.The sum of two numbers is 23 and their difference is 15. What is the smaller number?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?

Answer key

  1. 32
  2. 3
  3. 32
  4. 12
  5. 57
  6. 66
  7. 38
  8. 26
  9. 86
  10. 1
  11. 38
  12. 62
  13. 20
  14. 19
  15. 45
  16. 44
  17. 6
  18. 26
  19. 72
  20. 13
  21. 31
  22. 42
  23. 32
  24. 19
  25. 31
  26. 85
  27. 15
  28. 12
  29. 89
  30. 41
  31. 24
  32. 5
  33. 79
  34. 59
  35. 29
  36. 60
  37. 4
  38. 67
  39. 40
  40. 41

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