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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 658 · 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 237. What is the largest of them?
  2. 2.The sum of two numbers is 80 and their difference is 4. What is the larger number?
  3. 3.The sum of 4 consecutive numbers is 138. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  6. 6.One number is 4 times another. Their difference is 57. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 72. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  11. 11.The sum of 3 consecutive numbers is 102. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 96. What is the largest of them?
  13. 13.The sum of two numbers is 102 and their difference is 90. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 160. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 8. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.The sum of two numbers is 97 and their difference is 65. What is the smaller number?
  18. 18.The sum of two numbers is 94 and their difference is 2. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 300. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  25. 25.The sum of two numbers is 48 and their difference is 32. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 106. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 130. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  30. 30.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?
  31. 31.One number is 3 times another. Their difference is 26. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 34. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 65. What is the smaller number?
  34. 34.The sum of two numbers is 78 and their difference is 50. What is the larger number?
  35. 35.One number is 5 times another. Their difference is 96. What is the smaller number?
  36. 36.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?
  37. 37.One number is 4 times another. Their difference is 81. What is the smaller number?
  38. 38.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?
  39. 39.The sum of two numbers is 17 and their difference is 9. What is the larger number?
  40. 40.The sum of 4 consecutive odd numbers is 312. What is the largest of them?

Answer key

  1. 81
  2. 42
  3. 36
  4. 47
  5. 77
  6. 19
  7. 43
  8. 25
  9. 36
  10. 48
  11. 35
  12. 33
  13. 6
  14. 40
  15. 8
  16. 25
  17. 16
  18. 46
  19. 7
  20. 57
  21. 34
  22. 19
  23. 62
  24. 16
  25. 8
  26. 42
  27. 28
  28. 34
  29. 23
  30. 27
  31. 13
  32. 17
  33. 13
  34. 64
  35. 24
  36. 26
  37. 27
  38. 69
  39. 13
  40. 81

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