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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 607 · 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 2 times another. Their difference is 36. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 115. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 60. What is the smaller number?
  4. 4.The sum of two numbers is 36 and their difference is 34. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  6. 6.The sum of two numbers is 23 and their difference is 17. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 78. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 70. What is the largest of them?
  9. 9.One number is 2 times another. Their difference is 7. What is the smaller number?
  10. 10.The sum of two numbers is 140 and their difference is 28. What is the larger number?
  11. 11.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?
  12. 12.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  13. 13.The sum of two numbers is 136 and their difference is 26. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 255. What is the largest of them?
  16. 16.The sum of two numbers is 76 and their difference is 44. What is the smaller number?
  17. 17.The sum of two numbers is 31 and their difference is 29. What is the larger number?
  18. 18.The sum of two numbers is 76 and their difference is 64. What is the larger number?
  19. 19.The sum of two numbers is 124 and their difference is 22. What is the larger number?
  20. 20.One number is 2 times another. Their difference is 6. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.One number is 6 times another. Their difference is 185. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 12. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  25. 25.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  27. 27.The sum of two numbers is 74 and their difference is 66. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  29. 29.The sum of two numbers is 26 and their difference is 4. What is the larger number?
  30. 30.One number is 3 times another. Their difference is 22. What is the smaller number?
  31. 31.The sum of two numbers is 47 and their difference is 19. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  33. 33.The sum of two numbers is 65 and their difference is 61. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of two numbers is 137 and their difference is 37. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 49 and their difference is 37. What is the smaller number?
  40. 40.The sum of two numbers is 23 and their difference is 9. What is the larger number?

Answer key

  1. 36
  2. 25
  3. 12
  4. 1
  5. 63
  6. 3
  7. 26
  8. 16
  9. 7
  10. 84
  11. 78
  12. 52
  13. 55
  14. 85
  15. 53
  16. 16
  17. 30
  18. 70
  19. 73
  20. 6
  21. 56
  22. 37
  23. 6
  24. 7
  25. 66
  26. 13
  27. 4
  28. 59
  29. 15
  30. 11
  31. 14
  32. 69
  33. 2
  34. 24
  35. 15
  36. 50
  37. 22
  38. 49
  39. 6
  40. 16

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