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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 972 · 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 4 consecutive even numbers is 268. What is the smallest of them?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.The sum of two numbers is 111 and their difference is 37. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 30. What is the largest of them?
  9. 9.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 102 and their difference is 34. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  13. 13.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  14. 14.One number is 3 times another. Their difference is 26. What is the smaller number?
  15. 15.The sum of two numbers is 50 and their difference is 48. What is the larger number?
  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 two numbers is 66 and their difference is 56. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 165. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  20. 20.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?
  21. 21.One number is 6 times another. Their difference is 110. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 146. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  24. 24.The sum of two numbers is 84 and their difference is 22. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  26. 26.One number is 3 times another. Their difference is 14. What is the smaller number?
  27. 27.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?
  28. 28.One number is 4 times another. Their difference is 27. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 37. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 27. What is the smaller number?
  31. 31.One number is 5 times another. Their difference is 60. What is the smaller number?
  32. 32.The sum of two numbers is 173 and their difference is 3. What is the smaller number?
  33. 33.The sum of two numbers is 116 and their difference is 28. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 58. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 45. What is the largest of them?
  38. 38.One number is 2 times another. Their difference is 18. What is the smaller number?
  39. 39.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?
  40. 40.The sum of two numbers is 101 and their difference is 73. What is the larger number?

Answer key

  1. 64
  2. 67
  3. 35
  4. 74
  5. 47
  6. 25
  7. 39
  8. 9
  9. 52
  10. 48
  11. 34
  12. 57
  13. 24
  14. 13
  15. 49
  16. 26
  17. 5
  18. 33
  19. 25
  20. 89
  21. 22
  22. 38
  23. 56
  24. 31
  25. 7
  26. 7
  27. 59
  28. 9
  29. 37
  30. 27
  31. 15
  32. 85
  33. 44
  34. 26
  35. 26
  36. 16
  37. 16
  38. 18
  39. 38
  40. 87

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