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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 555 · 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 numbers is 96. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  3. 3.The sum of two numbers is 100 and their difference is 62. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 51. What is the largest of them?
  5. 5.One number is 4 times another. Their difference is 78. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  8. 8.One number is 6 times another. Their difference is 130. What is the smaller number?
  9. 9.The sum of two numbers is 31 and their difference is 11. What is the larger number?
  10. 10.The sum of two numbers is 93 and their difference is 45. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  13. 13.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  16. 16.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?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 87. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 106. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 147. What is the largest of them?
  21. 21.The sum of two numbers is 28 and their difference is 6. What is the larger number?
  22. 22.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?
  23. 23.The sum of two numbers is 56 and their difference is 38. What is the larger number?
  24. 24.One number is 5 times another. Their difference is 72. What is the smaller number?
  25. 25.The sum of two numbers is 23 and their difference is 21. What is the larger number?
  26. 26.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?
  27. 27.The sum of two numbers is 133 and their difference is 35. What is the larger number?
  28. 28.One number is 4 times another. Their difference is 114. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 138. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  33. 33.The sum of two numbers is 55 and their difference is 9. What is the larger number?
  34. 34.One number is 2 times another. Their difference is 12. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 135. What is the largest of them?
  36. 36.The sum of two numbers is 103 and their difference is 33. What is the larger number?
  37. 37.One number is 4 times another. Their difference is 63. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 125. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 65. What is the smaller number?

Answer key

  1. 33
  2. 16
  3. 19
  4. 18
  5. 26
  6. 40
  7. 48
  8. 26
  9. 21
  10. 24
  11. 89
  12. 45
  13. 11
  14. 32
  15. 69
  16. 36
  17. 69
  18. 30
  19. 28
  20. 50
  21. 17
  22. 56
  23. 47
  24. 18
  25. 22
  26. 78
  27. 84
  28. 38
  29. 67
  30. 47
  31. 44
  32. 58
  33. 32
  34. 12
  35. 29
  36. 68
  37. 21
  38. 29
  39. 25
  40. 13

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