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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 866 · 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 5 times another. Their difference is 160. What is the smaller number?
  2. 2.One number is 5 times another. Their difference is 144. What is the smaller number?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  11. 11.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  12. 12.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  17. 17.The sum of two numbers is 125 and their difference is 61. What is the smaller number?
  18. 18.One number is 5 times another. Their difference is 40. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 84. What is the largest of them?
  20. 20.One number is 5 times another. Their difference is 48. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 66. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  23. 23.The sum of two numbers is 74 and their difference is 28. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  25. 25.One number is 3 times another. Their difference is 38. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 57. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 62. What is the largest of them?
  28. 28.The sum of two numbers is 52 and their difference is 6. What is the larger number?
  29. 29.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  31. 31.The sum of two numbers is 40 and their difference is 32. What is the larger number?
  32. 32.The sum of two numbers is 176 and their difference is 20. What is the larger number?
  33. 33.The sum of two numbers is 67 and their difference is 21. What is the larger number?
  34. 34.The sum of two numbers is 34 and their difference is 18. What is the larger number?
  35. 35.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 141. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 27. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 81. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 12. What is the smaller number?

Answer key

  1. 40
  2. 36
  3. 67
  4. 57
  5. 89
  6. 9
  7. 24
  8. 63
  9. 63
  10. 17
  11. 28
  12. 8
  13. 36
  14. 71
  15. 79
  16. 31
  17. 32
  18. 10
  19. 29
  20. 12
  21. 23
  22. 12
  23. 23
  24. 59
  25. 19
  26. 19
  27. 17
  28. 29
  29. 45
  30. 39
  31. 36
  32. 98
  33. 44
  34. 26
  35. 25
  36. 48
  37. 10
  38. 28
  39. 7
  40. 12

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