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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 960 · 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 two numbers is 131 and their difference is 43. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  3. 3.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?
  4. 4.One number is 6 times another. Their difference is 55. What is the smaller number?
  5. 5.The sum of two numbers is 72 and their difference is 2. What is the smaller number?
  6. 6.The sum of two numbers is 66 and their difference is 28. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 28. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 34. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive numbers is 210. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 177. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 72. What is the smaller number?
  17. 17.The sum of two numbers is 140 and their difference is 34. What is the smaller number?
  18. 18.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?
  19. 19.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?
  20. 20.One number is 4 times another. Their difference is 51. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 78. What is the largest of them?
  22. 22.The sum of two numbers is 99 and their difference is 33. What is the larger number?
  23. 23.One number is 3 times another. Their difference is 62. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 54. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  27. 27.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?
  28. 28.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 57. What is the largest of them?
  31. 31.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?
  32. 32.The sum of two numbers is 100 and their difference is 96. What is the larger number?
  33. 33.The sum of two numbers is 126 and their difference is 64. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  35. 35.The sum of two numbers is 162 and their difference is 28. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  38. 38.One number is 3 times another. Their difference is 38. What is the smaller number?
  39. 39.The sum of two numbers is 106 and their difference is 4. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 40. What is the smaller number?

Answer key

  1. 44
  2. 46
  3. 36
  4. 11
  5. 35
  6. 19
  7. 28
  8. 39
  9. 11
  10. 17
  11. 44
  12. 69
  13. 54
  14. 60
  15. 28
  16. 24
  17. 53
  18. 14
  19. 68
  20. 17
  21. 21
  22. 66
  23. 31
  24. 27
  25. 83
  26. 58
  27. 48
  28. 47
  29. 13
  30. 20
  31. 89
  32. 98
  33. 31
  34. 80
  35. 67
  36. 78
  37. 25
  38. 19
  39. 51
  40. 8

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