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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 920 · 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 odd numbers is 128. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  3. 3.One number is 3 times another. Their difference is 40. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 24. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  8. 8.One number is 6 times another. Their difference is 115. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  10. 10.The sum of two numbers is 33 and their difference is 7. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  12. 12.The sum of two numbers is 152 and their difference is 22. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  15. 15.The sum of two numbers is 77 and their difference is 61. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 226. What is the largest of them?
  19. 19.One number is 2 times another. Their difference is 8. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 117. What is the smaller number?
  22. 22.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?
  23. 23.One number is 5 times another. Their difference is 156. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  25. 25.The sum of two numbers is 23 and their difference is 1. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  27. 27.The sum of two numbers is 25 and their difference is 23. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  30. 30.The sum of two numbers is 40 and their difference is 14. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 120. What is the largest of them?
  36. 36.One number is 3 times another. Their difference is 56. What is the smaller number?
  37. 37.The sum of two numbers is 47 and their difference is 27. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  39. 39.The sum of two numbers is 42 and their difference is 28. What is the smaller number?
  40. 40.The sum of two numbers is 57 and their difference is 9. What is the smaller number?

Answer key

  1. 29
  2. 49
  3. 20
  4. 34
  5. 25
  6. 9
  7. 11
  8. 23
  9. 38
  10. 13
  11. 38
  12. 65
  13. 68
  14. 26
  15. 8
  16. 67
  17. 55
  18. 58
  19. 8
  20. 60
  21. 39
  22. 16
  23. 39
  24. 56
  25. 11
  26. 40
  27. 1
  28. 23
  29. 6
  30. 13
  31. 23
  32. 48
  33. 27
  34. 16
  35. 26
  36. 28
  37. 10
  38. 54
  39. 7
  40. 24

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