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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 614 · 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 digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  4. 4.One number is 5 times another. Their difference is 124. What is the smaller number?
  5. 5.The sum of two numbers is 97 and their difference is 37. What is the larger number?
  6. 6.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  9. 9.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 23. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 48 and their difference is 8. What is the larger number?
  14. 14.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  15. 15.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?
  16. 16.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?
  17. 17.The sum of two numbers is 31 and their difference is 1. What is the larger number?
  18. 18.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  23. 23.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?
  24. 24.One number is 4 times another. Their difference is 45. What is the smaller number?
  25. 25.The sum of two numbers is 137 and their difference is 27. What is the larger number?
  26. 26.One number is 2 times another. Their difference is 5. What is the smaller number?
  27. 27.The sum of two numbers is 42 and their difference is 14. What is the larger number?
  28. 28.The sum of 5 consecutive numbers is 145. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  31. 31.The sum of two numbers is 141 and their difference is 15. What is the smaller number?
  32. 32.The sum of two numbers is 118 and their difference is 38. What is the smaller number?
  33. 33.The sum of two numbers is 28 and their difference is 2. What is the larger number?
  34. 34.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?
  35. 35.The sum of two numbers is 73 and their difference is 15. What is the smaller number?
  36. 36.The sum of two numbers is 46 and their difference is 12. What is the larger number?
  37. 37.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?

Answer key

  1. 17
  2. 19
  3. 9
  4. 31
  5. 67
  6. 17
  7. 14
  8. 16
  9. 25
  10. 23
  11. 46
  12. 45
  13. 28
  14. 7
  15. 89
  16. 79
  17. 16
  18. 15
  19. 59
  20. 8
  21. 68
  22. 27
  23. 68
  24. 15
  25. 82
  26. 5
  27. 28
  28. 31
  29. 21
  30. 16
  31. 63
  32. 40
  33. 15
  34. 19
  35. 29
  36. 29
  37. 58
  38. 29
  39. 56
  40. 18

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