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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 232 · 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 even numbers is 180. What is the largest of them?
  2. 2.The sum of two numbers is 80 and their difference is 34. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 4. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 38. What is the largest of them?
  5. 5.The sum of two numbers is 104 and their difference is 82. What is the larger number?
  6. 6.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  8. 8.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?
  9. 9.The sum of two numbers is 66 and their difference is 6. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 45. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 112 and their difference is 16. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 130. What is the largest of them?
  15. 15.The sum of two numbers is 21 and their difference is 19. What is the smaller number?
  16. 16.One number is 5 times another. Their difference is 132. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 5 consecutive numbers is 55. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  20. 20.The sum of two numbers is 74 and their difference is 68. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  23. 23.The sum of two numbers is 125 and their difference is 19. What is the smaller number?
  24. 24.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?
  25. 25.The sum of two numbers is 97 and their difference is 79. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 210. What is the largest of them?
  27. 27.The sum of two numbers is 128 and their difference is 56. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 180. What is the largest of them?
  29. 29.One number is 6 times another. Their difference is 200. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  31. 31.One number is 2 times another. Their difference is 28. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  33. 33.The sum of two numbers is 102 and their difference is 48. What is the larger number?
  34. 34.The sum of two numbers is 79 and their difference is 55. What is the smaller number?
  35. 35.The sum of two numbers is 105 and their difference is 9. What is the smaller number?
  36. 36.The sum of two numbers is 82 and their difference is 4. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 75. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  40. 40.One number is 2 times another. Their difference is 19. What is the smaller number?

Answer key

  1. 62
  2. 23
  3. 4
  4. 11
  5. 93
  6. 26
  7. 43
  8. 28
  9. 30
  10. 9
  11. 17
  12. 89
  13. 64
  14. 28
  15. 1
  16. 33
  17. 46
  18. 13
  19. 31
  20. 3
  21. 62
  22. 18
  23. 53
  24. 45
  25. 9
  26. 44
  27. 36
  28. 61
  29. 40
  30. 27
  31. 28
  32. 46
  33. 75
  34. 12
  35. 48
  36. 39
  37. 26
  38. 56
  39. 73
  40. 19

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