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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 648 · 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 114. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  3. 3.The sum of two numbers is 70 and their difference is 42. What is the larger number?
  4. 4.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.The sum of two numbers is 15 and their difference is 11. What is the smaller number?
  6. 6.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?
  7. 7.The sum of two numbers is 70 and their difference is 28. What is the larger number?
  8. 8.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  9. 9.The sum of two numbers is 44 and their difference is 38. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 60. What is the largest of them?
  16. 16.The sum of two numbers is 32 and their difference is 16. What is the larger number?
  17. 17.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 107 and their difference is 53. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 15. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  24. 24.The sum of two numbers is 72 and their difference is 10. What is the larger number?
  25. 25.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 54. What is the largest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 141 and their difference is 47. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 210. What is the largest of them?
  34. 34.One number is 6 times another. Their difference is 15. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 20. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 130. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 75. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 24. What is the smaller 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.One number is 5 times another. Their difference is 72. What is the smaller number?

Answer key

  1. 39
  2. 27
  3. 56
  4. 23
  5. 2
  6. 67
  7. 49
  8. 33
  9. 3
  10. 32
  11. 14
  12. 69
  13. 17
  14. 70
  15. 21
  16. 24
  17. 54
  18. 46
  19. 27
  20. 68
  21. 5
  22. 33
  23. 54
  24. 41
  25. 61
  26. 15
  27. 89
  28. 21
  29. 31
  30. 68
  31. 47
  32. 66
  33. 44
  34. 3
  35. 4
  36. 28
  37. 17
  38. 12
  39. 48
  40. 18

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