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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 672 · 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 6 times another. Their difference is 75. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  3. 3.The sum of two numbers is 110 and their difference is 80. What is the larger number?
  4. 4.One number is 2 times another. Their difference is 29. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 106. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  7. 7.The sum of two numbers is 35 and their difference is 29. What is the larger number?
  8. 8.The sum of two numbers is 125 and their difference is 35. What is the smaller number?
  9. 9.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?
  10. 10.The sum of two numbers is 15 and their difference is 11. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 21. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  13. 13.One number is 2 times another. Their difference is 19. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  15. 15.The sum of two numbers is 36 and their difference is 30. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 105. What is the largest of them?
  17. 17.One number is 6 times another. Their difference is 50. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  19. 19.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  20. 20.The sum of two numbers is 107 and their difference is 85. What is the larger number?
  21. 21.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  22. 22.The sum of two numbers is 79 and their difference is 41. What is the larger number?
  23. 23.One number is 2 times another. Their difference is 40. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  25. 25.One number is 4 times another. Their difference is 39. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 80. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 98. What is the largest of them?
  28. 28.One number is 5 times another. Their difference is 140. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 37. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 183. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 22. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  38. 38.One number is 4 times another. Their difference is 51. What is the smaller number?
  39. 39.The sum of two numbers is 55 and their difference is 33. What is the smaller number?
  40. 40.The sum of two numbers is 21 and their difference is 19. What is the smaller number?

Answer key

  1. 15
  2. 81
  3. 95
  4. 29
  5. 28
  6. 25
  7. 32
  8. 45
  9. 79
  10. 2
  11. 21
  12. 20
  13. 19
  14. 44
  15. 3
  16. 36
  17. 10
  18. 25
  19. 8
  20. 96
  21. 28
  22. 60
  23. 40
  24. 21
  25. 13
  26. 40
  27. 26
  28. 35
  29. 37
  30. 62
  31. 37
  32. 34
  33. 58
  34. 7
  35. 22
  36. 49
  37. 5
  38. 17
  39. 11
  40. 1

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