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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 680 · 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.One number is 6 times another. Their difference is 140. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  4. 4.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 141. What is the largest of them?
  6. 6.One number is 2 times another. Their difference is 3. What is the smaller number?
  7. 7.One number is 6 times another. Their difference is 60. What is the smaller number?
  8. 8.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?
  9. 9.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  10. 10.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?
  11. 11.One number is 6 times another. Their difference is 120. What is the smaller number?
  12. 12.The sum of two numbers is 37 and their difference is 1. What is the larger number?
  13. 13.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  14. 14.The sum of two numbers is 35 and their difference is 15. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  17. 17.The sum of two numbers is 180 and their difference is 12. What is the larger number?
  18. 18.The sum of 4 consecutive numbers is 82. What is the largest of them?
  19. 19.One number is 2 times another. Their difference is 27. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  23. 23.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  24. 24.The sum of 4 consecutive odd numbers is 256. 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 9. What is the number?
  26. 26.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  27. 27.The sum of two numbers is 29 and their difference is 21. What is the smaller number?
  28. 28.The sum of two numbers is 43 and their difference is 1. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 74. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 28. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 85. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  36. 36.The sum of two numbers is 98 and their difference is 4. What is the smaller number?
  37. 37.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?
  38. 38.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 275. What is the largest of them?

Answer key

  1. 28
  2. 51
  3. 49
  4. 34
  5. 48
  6. 3
  7. 12
  8. 25
  9. 19
  10. 68
  11. 24
  12. 19
  13. 84
  14. 10
  15. 49
  16. 67
  17. 96
  18. 22
  19. 27
  20. 33
  21. 22
  22. 41
  23. 28
  24. 61
  25. 23
  26. 79
  27. 4
  28. 21
  29. 67
  30. 20
  31. 56
  32. 14
  33. 34
  34. 17
  35. 73
  36. 47
  37. 27
  38. 24
  39. 12
  40. 57

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