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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 943 · 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 two numbers is 115 and their difference is 53. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  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 157 and their difference is 25. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  6. 6.The sum of 4 consecutive numbers is 206. What is the largest of them?
  7. 7.One number is 6 times another. Their difference is 75. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 60. What is the largest of them?
  9. 9.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?
  10. 10.One number is 2 times another. Their difference is 40. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 34. What is the largest of them?
  15. 15.One number is 5 times another. Their difference is 52. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 6. What is the smaller number?
  17. 17.One number is 2 times another. Their difference is 29. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 165. What is the largest of them?
  19. 19.One number is 4 times another. Their difference is 27. What is the smaller number?
  20. 20.The sum of two numbers is 42 and their difference is 10. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  23. 23.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  25. 25.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The sum of 3 consecutive numbers is 153. What is the largest of them?
  27. 27.One number is 4 times another. Their difference is 39. What is the smaller number?
  28. 28.The sum of two numbers is 43 and their difference is 41. What is the smaller number?
  29. 29.One number is 6 times another. Their difference is 95. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  32. 32.The sum of two numbers is 78 and their difference is 4. What is the larger number?
  33. 33.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  35. 35.The sum of two numbers is 79 and their difference is 13. What is the larger number?
  36. 36.The sum of two numbers is 132 and their difference is 8. What is the smaller number?
  37. 37.The sum of two numbers is 44 and their difference is 14. What is the smaller number?
  38. 38.One number is 6 times another. Their difference is 40. What is the smaller number?
  39. 39.The sum of two numbers is 53 and their difference is 47. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 144. What is the largest of them?

Answer key

  1. 31
  2. 40
  3. 69
  4. 66
  5. 60
  6. 53
  7. 15
  8. 14
  9. 37
  10. 40
  11. 45
  12. 23
  13. 6
  14. 10
  15. 13
  16. 3
  17. 29
  18. 56
  19. 9
  20. 16
  21. 39
  22. 28
  23. 16
  24. 65
  25. 35
  26. 52
  27. 13
  28. 1
  29. 19
  30. 24
  31. 25
  32. 41
  33. 58
  34. 30
  35. 46
  36. 62
  37. 15
  38. 8
  39. 3
  40. 50

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