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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 845 · 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 5 consecutive numbers is 185. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.The sum of two numbers is 85 and their difference is 83. What is the larger number?
  4. 4.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  6. 6.The sum of two numbers is 147 and their difference is 19. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  9. 9.The sum of two numbers is 104 and their difference is 12. What is the larger number?
  10. 10.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  12. 12.The sum of two numbers is 27 and their difference is 15. What is the smaller number?
  13. 13.The sum of two numbers is 104 and their difference is 66. What is the smaller number?
  14. 14.The sum of two numbers is 102 and their difference is 4. What is the smaller number?
  15. 15.The sum of two numbers is 159 and their difference is 29. What is the smaller number?
  16. 16.The sum of two numbers is 100 and their difference is 70. What is the larger number?
  17. 17.One number is 3 times another. Their difference is 58. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 51. What is the smaller number?
  19. 19.The sum of two numbers is 50 and their difference is 42. What is the smaller number?
  20. 20.The sum of two numbers is 56 and their difference is 54. What is the larger number?
  21. 21.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?
  22. 22.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?
  23. 23.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  24. 24.The sum of two numbers is 26 and their difference is 10. What is the larger number?
  25. 25.The sum of two numbers is 52 and their difference is 8. What is the larger number?
  26. 26.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  29. 29.The sum of two numbers is 60 and their difference is 16. What is the larger number?
  30. 30.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 156. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 9. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  34. 34.One number is 2 times another. Their difference is 13. What is the smaller number?
  35. 35.The sum of two numbers is 152 and their difference is 8. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 22. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 336. What is the largest of them?

Answer key

  1. 35
  2. 12
  3. 84
  4. 55
  5. 41
  6. 64
  7. 89
  8. 17
  9. 58
  10. 35
  11. 25
  12. 6
  13. 19
  14. 49
  15. 65
  16. 85
  17. 29
  18. 17
  19. 4
  20. 55
  21. 68
  22. 56
  23. 33
  24. 18
  25. 30
  26. 54
  27. 79
  28. 9
  29. 38
  30. 29
  31. 39
  32. 3
  33. 17
  34. 13
  35. 72
  36. 49
  37. 75
  38. 43
  39. 11
  40. 87

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