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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 690 · 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 210. What is the smallest of them?
  2. 2.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?
  3. 3.One number is 5 times another. Their difference is 120. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 66. What is the largest of them?
  7. 7.One number is 5 times another. Their difference is 76. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 60. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  11. 11.One number is 2 times another. Their difference is 9. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 5 consecutive numbers is 300. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  18. 18.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?
  19. 19.One number is 5 times another. Their difference is 20. What is the smaller number?
  20. 20.The sum of two numbers is 63 and their difference is 13. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 145. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 129. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 190. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  26. 26.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?
  27. 27.One number is 2 times another. Their difference is 24. What is the smaller number?
  28. 28.The sum of two numbers is 101 and their difference is 85. What is the larger number?
  29. 29.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.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?
  31. 31.The sum of 5 consecutive numbers is 310. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  33. 33.One number is 4 times another. Their difference is 63. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 69. What is the largest of them?
  37. 37.The sum of two numbers is 117 and their difference is 3. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  39. 39.The sum of two numbers is 86 and their difference is 18. What is the larger number?
  40. 40.The sum of two numbers is 112 and their difference is 60. What is the smaller number?

Answer key

  1. 40
  2. 12
  3. 30
  4. 78
  5. 13
  6. 23
  7. 19
  8. 18
  9. 21
  10. 58
  11. 9
  12. 89
  13. 62
  14. 79
  15. 36
  16. 26
  17. 20
  18. 67
  19. 5
  20. 25
  21. 31
  22. 28
  23. 44
  24. 38
  25. 51
  26. 38
  27. 24
  28. 93
  29. 47
  30. 49
  31. 64
  32. 45
  33. 21
  34. 24
  35. 35
  36. 24
  37. 57
  38. 21
  39. 52
  40. 26

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