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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 527 · 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.One number is 2 times another. Their difference is 17. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  4. 4.One number is 6 times another. Their difference is 60. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  6. 6.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  8. 8.The sum of two numbers is 77 and their difference is 43. What is the smaller number?
  9. 9.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?
  10. 10.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 111. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 120. What is the largest of them?
  18. 18.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 129. What is the largest of them?
  20. 20.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?
  21. 21.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?
  22. 22.The sum of two numbers is 95 and their difference is 1. What is the larger number?
  23. 23.One number is 4 times another. Their difference is 99. What is the smaller number?
  24. 24.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?
  25. 25.The sum of two numbers is 43 and their difference is 23. What is the larger number?
  26. 26.The sum of 5 consecutive numbers is 260. What is the largest of them?
  27. 27.The sum of two numbers is 137 and their difference is 9. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  32. 32.The sum of two numbers is 42 and their difference is 36. What is the smaller number?
  33. 33.The sum of two numbers is 108 and their difference is 88. What is the larger number?
  34. 34.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.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?
  36. 36.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?
  37. 37.One number is 6 times another. Their difference is 75. What is the smaller number?
  38. 38.The sum of two numbers is 25 and their difference is 13. What is the larger number?
  39. 39.The sum of 3 consecutive numbers is 42. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 88. What is the largest of them?

Answer key

  1. 17
  2. 89
  3. 74
  4. 12
  5. 69
  6. 36
  7. 9
  8. 17
  9. 56
  10. 34
  11. 16
  12. 38
  13. 18
  14. 55
  15. 25
  16. 21
  17. 41
  18. 17
  19. 44
  20. 46
  21. 58
  22. 48
  23. 33
  24. 78
  25. 33
  26. 54
  27. 64
  28. 7
  29. 67
  30. 43
  31. 73
  32. 3
  33. 98
  34. 68
  35. 49
  36. 79
  37. 15
  38. 19
  39. 15
  40. 25

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