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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 268 · 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 15. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 82 and their difference is 36. What is the larger number?
  3. 3.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 39. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  9. 9.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?
  10. 10.One number is 3 times another. Their difference is 12. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 93. What is the largest of them?
  12. 12.One number is 4 times another. Their difference is 39. What is the smaller number?
  13. 13.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?
  14. 14.One number is 2 times another. Their difference is 24. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  16. 16.One number is 6 times another. Their difference is 95. What is the smaller number?
  17. 17.The sum of two numbers is 32 and their difference is 20. What is the smaller number?
  18. 18.The sum of two numbers is 172 and their difference is 8. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 132. What is the smaller number?
  20. 20.One number is 5 times another. Their difference is 116. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  22. 22.The sum of two numbers is 52 and their difference is 18. What is the larger number?
  23. 23.The sum of two numbers is 84 and their difference is 20. What is the larger number?
  24. 24.The sum of two numbers is 125 and their difference is 17. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 195. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 37. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 123. What is the largest of them?
  30. 30.The sum of two numbers is 65 and their difference is 37. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 26. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  35. 35.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 117 and their difference is 61. What is the larger number?
  39. 39.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 144. What is the largest of them?

Answer key

  1. 78
  2. 59
  3. 69
  4. 89
  5. 14
  6. 23
  7. 17
  8. 53
  9. 35
  10. 6
  11. 32
  12. 13
  13. 17
  14. 24
  15. 26
  16. 19
  17. 6
  18. 82
  19. 33
  20. 29
  21. 52
  22. 35
  23. 52
  24. 54
  25. 41
  26. 55
  27. 37
  28. 33
  29. 42
  30. 14
  31. 9
  32. 13
  33. 18
  34. 67
  35. 21
  36. 42
  37. 67
  38. 89
  39. 19
  40. 49

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