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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 860 · 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 4 consecutive numbers is 198. What is the smallest of them?
  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 4 consecutive numbers is 34. What is the smallest of them?
  4. 4.The sum of two numbers is 41 and their difference is 3. What is the larger number?
  5. 5.One number is 3 times another. Their difference is 24. What is the smaller number?
  6. 6.The sum of two numbers is 63 and their difference is 9. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  8. 8.One number is 3 times another. Their difference is 68. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  11. 11.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?
  12. 12.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  13. 13.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?
  14. 14.The sum of two numbers is 175 and their difference is 15. What is the smaller number?
  15. 15.The sum of two numbers is 88 and their difference is 10. What is the larger number?
  16. 16.The sum of two numbers is 69 and their difference is 55. What is the larger number?
  17. 17.The sum of two numbers is 90 and their difference is 14. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 4. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 194. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  22. 22.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 93. What is the smaller number?
  25. 25.The sum of two numbers is 57 and their difference is 31. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  28. 28.One number is 4 times another. Their difference is 75. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 55. What is the largest of them?
  30. 30.The sum of two numbers is 88 and their difference is 64. What is the smaller number?
  31. 31.One number is 4 times another. Their difference is 18. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 136 and their difference is 4. What is the smaller number?
  37. 37.The sum of two numbers is 14 and their difference is 8. What is the larger number?
  38. 38.The sum of 5 consecutive numbers is 160. What is the largest of them?
  39. 39.One number is 3 times another. Their difference is 58. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 122. What is the smallest of them?

Answer key

  1. 48
  2. 89
  3. 7
  4. 22
  5. 12
  6. 27
  7. 40
  8. 34
  9. 50
  10. 47
  11. 12
  12. 26
  13. 79
  14. 80
  15. 49
  16. 62
  17. 38
  18. 4
  19. 50
  20. 14
  21. 29
  22. 33
  23. 39
  24. 31
  25. 13
  26. 13
  27. 12
  28. 25
  29. 13
  30. 12
  31. 6
  32. 73
  33. 21
  34. 51
  35. 59
  36. 66
  37. 11
  38. 34
  39. 29
  40. 29

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