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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 724 · 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 3 times another. Their difference is 62. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  3. 3.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.The sum of two numbers is 30 and their difference is 4. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 60. What is the largest of them?
  6. 6.The sum of two numbers is 25 and their difference is 11. What is the larger number?
  7. 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  9. 9.The sum of two numbers is 161 and their difference is 5. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  11. 11.The sum of two numbers is 32 and their difference is 4. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 48. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  18. 18.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?
  19. 19.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?
  20. 20.One number is 2 times another. Their difference is 39. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  24. 24.The sum of two numbers is 118 and their difference is 62. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 36. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 24. What is the largest of them?
  28. 28.The sum of two numbers is 57 and their difference is 49. What is the larger number?
  29. 29.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 42. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 57. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  35. 35.The sum of two numbers is 104 and their difference is 26. What is the larger number?
  36. 36.One number is 2 times another. Their difference is 14. What is the smaller number?
  37. 37.The sum of two numbers is 119 and their difference is 19. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 32. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 40. What is the smallest of them?

Answer key

  1. 31
  2. 49
  3. 69
  4. 17
  5. 21
  6. 18
  7. 27
  8. 22
  9. 78
  10. 64
  11. 14
  12. 68
  13. 47
  14. 78
  15. 20
  16. 12
  17. 52
  18. 26
  19. 24
  20. 39
  21. 18
  22. 79
  23. 18
  24. 28
  25. 18
  26. 36
  27. 9
  28. 53
  29. 74
  30. 21
  31. 65
  32. 14
  33. 19
  34. 20
  35. 65
  36. 14
  37. 50
  38. 5
  39. 16
  40. 6

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