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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 343 · 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 5 consecutive numbers is 85. What is the smallest of them?
  2. 2.The sum of two numbers is 15 and their difference is 13. What is the larger number?
  3. 3.One number is 3 times another. Their difference is 20. What is the smaller number?
  4. 4.The sum of two numbers is 106 and their difference is 20. What is the smaller number?
  5. 5.The sum of two numbers is 97 and their difference is 13. What is the larger number?
  6. 6.The sum of two numbers is 36 and their difference is 24. What is the larger number?
  7. 7.One number is 2 times another. Their difference is 11. What is the smaller number?
  8. 8.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?
  9. 9.One number is 2 times another. Their difference is 18. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  14. 14.The sum of two numbers is 33 and their difference is 15. What is the smaller number?
  15. 15.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?
  16. 16.The sum of two numbers is 71 and their difference is 29. What is the larger number?
  17. 17.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  18. 18.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  19. 19.One number is 4 times another. Their difference is 9. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  21. 21.The sum of two numbers is 28 and their difference is 10. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  28. 28.One number is 6 times another. Their difference is 15. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 96. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 168. What is the largest of them?
  31. 31.The sum of two numbers is 110 and their difference is 76. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 18. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.The sum of 4 consecutive numbers is 218. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 310. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  38. 38.One number is 5 times another. Their difference is 140. What is the smaller number?
  39. 39.The sum of two numbers is 122 and their difference is 72. What is the larger number?
  40. 40.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?

Answer key

  1. 15
  2. 14
  3. 10
  4. 43
  5. 55
  6. 30
  7. 11
  8. 56
  9. 18
  10. 20
  11. 36
  12. 54
  13. 39
  14. 9
  15. 79
  16. 50
  17. 57
  18. 45
  19. 3
  20. 19
  21. 9
  22. 68
  23. 36
  24. 13
  25. 33
  26. 89
  27. 33
  28. 3
  29. 33
  30. 57
  31. 93
  32. 7
  33. 45
  34. 59
  35. 56
  36. 64
  37. 50
  38. 35
  39. 97
  40. 28

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