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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 570 · 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 3 consecutive odd numbers is 81. What is the smallest of them?
  2. 2.The sum of two numbers is 35 and their difference is 1. What is the larger number?
  3. 3.One number is 5 times another. Their difference is 20. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  8. 8.The sum of two numbers is 22 and their difference is 6. What is the smaller number?
  9. 9.The sum of two numbers is 76 and their difference is 62. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  11. 11.The sum of 5 consecutive numbers is 110. What is the largest of them?
  12. 12.The sum of two numbers is 66 and their difference is 2. What is the larger number?
  13. 13.One number is 4 times another. Their difference is 60. What is the smaller number?
  14. 14.The sum of two numbers is 113 and their difference is 49. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 28. What is the smaller number?
  19. 19.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?
  20. 20.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  22. 22.The sum of two numbers is 40 and their difference is 4. What is the larger number?
  23. 23.The sum of 3 consecutive numbers is 117. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  26. 26.One number is 3 times another. Their difference is 26. What is the smaller number?
  27. 27.The sum of two numbers is 109 and their difference is 65. What is the smaller number?
  28. 28.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?
  29. 29.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?
  30. 30.The sum of two numbers is 32 and their difference is 8. What is the smaller number?
  31. 31.The sum of two numbers is 109 and their difference is 1. What is the smaller number?
  32. 32.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?
  33. 33.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?
  34. 34.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 66. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 52. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  38. 38.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?
  39. 39.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?
  40. 40.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 25
  2. 18
  3. 5
  4. 22
  5. 46
  6. 44
  7. 43
  8. 8
  9. 7
  10. 37
  11. 24
  12. 34
  13. 20
  14. 32
  15. 16
  16. 11
  17. 78
  18. 28
  19. 45
  20. 6
  21. 25
  22. 22
  23. 40
  24. 47
  25. 23
  26. 13
  27. 22
  28. 34
  29. 89
  30. 12
  31. 54
  32. 24
  33. 79
  34. 40
  35. 22
  36. 13
  37. 53
  38. 68
  39. 26
  40. 47

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