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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 70 · 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 9. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of two numbers is 46 and their difference is 24. What is the smaller number?
  3. 3.The sum of two numbers is 134 and their difference is 30. What is the larger number?
  4. 4.The sum of two numbers is 104 and their difference is 12. What is the larger number?
  5. 5.The sum of two numbers is 110 and their difference is 78. What is the smaller number?
  6. 6.The sum of two numbers is 69 and their difference is 65. What is the smaller number?
  7. 7.The sum of two numbers is 111 and their difference is 13. What is the larger number?
  8. 8.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  9. 9.One number is 3 times another. Their difference is 6. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  11. 11.One number is 6 times another. Their difference is 135. What is the smaller number?
  12. 12.The sum of two numbers is 54 and their difference is 26. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  14. 14.One number is 3 times another. Their difference is 40. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  16. 16.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?
  17. 17.One number is 2 times another. Their difference is 15. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 57. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 60. What is the largest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 101 and their difference is 87. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 177. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 180. What is the smaller number?
  24. 24.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?
  25. 25.One number is 5 times another. Their difference is 68. What is the smaller number?
  26. 26.The sum of two numbers is 91 and their difference is 3. What is the larger number?
  27. 27.The sum of two numbers is 39 and their difference is 29. What is the larger number?
  28. 28.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 90. What is the largest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 44 and their difference is 24. What is the larger number?
  32. 32.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?
  33. 33.The sum of two numbers is 79 and their difference is 23. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 200. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  36. 36.The sum of two numbers is 133 and their difference is 13. What is the smaller number?
  37. 37.The sum of two numbers is 86 and their difference is 60. What is the larger number?
  38. 38.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  39. 39.The sum of two numbers is 50 and their difference is 12. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 38. What is the smaller number?

Answer key

  1. 27
  2. 11
  3. 82
  4. 58
  5. 16
  6. 2
  7. 62
  8. 61
  9. 3
  10. 68
  11. 27
  12. 14
  13. 31
  14. 20
  15. 45
  16. 19
  17. 15
  18. 20
  19. 14
  20. 12
  21. 94
  22. 60
  23. 36
  24. 89
  25. 17
  26. 47
  27. 34
  28. 72
  29. 20
  30. 45
  31. 34
  32. 79
  33. 28
  34. 40
  35. 56
  36. 60
  37. 73
  38. 33
  39. 19
  40. 38

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