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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 941 · 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 even numbers is 228. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 78. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 95. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  9. 9.One number is 3 times another. Their difference is 14. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 36. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 66. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  13. 13.The sum of two numbers is 125 and their difference is 15. What is the smaller number?
  14. 14.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?
  15. 15.One number is 6 times another. Their difference is 40. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 130. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 206. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 33. What is the smaller number?
  19. 19.The sum of two numbers is 80 and their difference is 54. What is the larger number?
  20. 20.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?
  21. 21.One number is 5 times another. Their difference is 100. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  26. 26.One number is 2 times another. Their difference is 4. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 45 and their difference is 29. What is the larger number?
  29. 29.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 42. What is the largest of them?
  31. 31.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  32. 32.The sum of two numbers is 76 and their difference is 8. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 147. What is the largest of them?
  34. 34.One number is 6 times another. Their difference is 45. What is the smaller number?
  35. 35.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?
  36. 36.The sum of two numbers is 92 and their difference is 42. What is the larger number?
  37. 37.The sum of two numbers is 74 and their difference is 64. What is the larger number?
  38. 38.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.The sum of two numbers is 94 and their difference is 14. What is the larger number?
  40. 40.The sum of 3 consecutive odd numbers is 111. What is the largest of them?

Answer key

  1. 60
  2. 47
  3. 39
  4. 19
  5. 21
  6. 21
  7. 13
  8. 21
  9. 7
  10. 12
  11. 23
  12. 5
  13. 55
  14. 67
  15. 8
  16. 28
  17. 53
  18. 33
  19. 67
  20. 68
  21. 25
  22. 50
  23. 50
  24. 49
  25. 14
  26. 4
  27. 79
  28. 37
  29. 58
  30. 15
  31. 38
  32. 42
  33. 50
  34. 9
  35. 78
  36. 67
  37. 69
  38. 12
  39. 54
  40. 39

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