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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 717 · 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 7. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 165. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.The sum of two numbers is 33 and their difference is 15. What is the larger number?
  8. 8.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  9. 9.The sum of two numbers is 44 and their difference is 36. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 120. What is the largest of them?
  11. 11.One number is 2 times another. Their difference is 5. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 6. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 14. What is the smaller number?
  14. 14.One number is 4 times another. Their difference is 102. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  16. 16.The sum of two numbers is 14 and their difference is 8. What is the smaller number?
  17. 17.The sum of two numbers is 18 and their difference is 12. What is the larger number?
  18. 18.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?
  19. 19.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?
  20. 20.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?
  21. 21.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?
  22. 22.The sum of two numbers is 130 and their difference is 56. What is the larger number?
  23. 23.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 125. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 135. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  28. 28.The sum of two numbers is 71 and their difference is 35. What is the smaller number?
  29. 29.The sum of two numbers is 153 and their difference is 29. What is the larger number?
  30. 30.The sum of two numbers is 44 and their difference is 30. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 82. What is the largest of them?
  32. 32.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?
  33. 33.The sum of two numbers is 111 and their difference is 77. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 16. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 195. What is the smaller number?
  36. 36.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  37. 37.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  38. 38.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 304. What is the largest of them?

Answer key

  1. 34
  2. 22
  3. 33
  4. 45
  5. 55
  6. 15
  7. 24
  8. 79
  9. 4
  10. 26
  11. 5
  12. 3
  13. 14
  14. 34
  15. 48
  16. 3
  17. 15
  18. 68
  19. 78
  20. 59
  21. 16
  22. 93
  23. 15
  24. 57
  25. 25
  26. 27
  27. 37
  28. 18
  29. 91
  30. 7
  31. 22
  32. 57
  33. 17
  34. 8
  35. 39
  36. 10
  37. 23
  38. 11
  39. 39
  40. 79

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