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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 759 · 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 51 and their difference is 43. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 58. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of two numbers is 93 and their difference is 85. What is the larger number?
  13. 13.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?
  14. 14.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  16. 16.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 5 consecutive numbers is 225. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  21. 21.The sum of 4 consecutive numbers is 122. What is the largest of them?
  22. 22.The sum of two numbers is 100 and their difference is 42. What is the larger number?
  23. 23.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?
  24. 24.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?
  25. 25.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  26. 26.The sum of two numbers is 19 and their difference is 9. What is the larger number?
  27. 27.The sum of 4 consecutive numbers is 54. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  29. 29.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  30. 30.The sum of two numbers is 50 and their difference is 20. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 60. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 140. What is the smaller number?
  37. 37.The sum of two numbers is 104 and their difference is 78. What is the larger number?
  38. 38.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.One number is 5 times another. Their difference is 156. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?

Answer key

  1. 47
  2. 29
  3. 76
  4. 89
  5. 37
  6. 35
  7. 25
  8. 7
  9. 10
  10. 39
  11. 26
  12. 89
  13. 79
  14. 9
  15. 38
  16. 46
  17. 11
  18. 24
  19. 47
  20. 29
  21. 32
  22. 71
  23. 28
  24. 69
  25. 70
  26. 14
  27. 15
  28. 39
  29. 18
  30. 15
  31. 35
  32. 44
  33. 20
  34. 17
  35. 67
  36. 35
  37. 91
  38. 12
  39. 39
  40. 79

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