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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 828 · 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 39. 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 96. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  7. 7.The sum of two numbers is 34 and their difference is 22. What is the larger number?
  8. 8.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?
  9. 9.One number is 6 times another. Their difference is 90. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  11. 11.The sum of two numbers is 17 and their difference is 3. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 72. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  14. 14.The sum of two numbers is 26 and their difference is 20. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  16. 16.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  17. 17.One number is 4 times another. Their difference is 93. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 20. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  21. 21.The sum of two numbers is 57 and their difference is 9. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 11. What is the smaller number?
  23. 23.The sum of two numbers is 156 and their difference is 42. What is the smaller number?
  24. 24.The sum of two numbers is 23 and their difference is 15. What is the larger number?
  25. 25.One number is 6 times another. Their difference is 155. What is the smaller number?
  26. 26.The sum of two numbers is 137 and their difference is 57. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of 5 consecutive numbers is 145. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  33. 33.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?
  34. 34.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.One number is 4 times another. Their difference is 105. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  40. 40.The sum of two numbers is 78 and their difference is 2. What is the smaller number?

Answer key

  1. 39
  2. 89
  3. 30
  4. 82
  5. 24
  6. 6
  7. 28
  8. 45
  9. 18
  10. 26
  11. 7
  12. 25
  13. 14
  14. 3
  15. 29
  16. 56
  17. 31
  18. 22
  19. 10
  20. 47
  21. 24
  22. 11
  23. 57
  24. 19
  25. 31
  26. 40
  27. 12
  28. 28
  29. 68
  30. 78
  31. 31
  32. 61
  33. 23
  34. 16
  35. 35
  36. 20
  37. 39
  38. 48
  39. 42
  40. 38

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