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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 109 · 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 12. When the digits swap places, the number goes up by 54. What is the number?
  2. 2.One number is 6 times another. Their difference is 90. What is the smaller number?
  3. 3.The sum of two numbers is 189 and their difference is 1. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 190. What is the largest of them?
  6. 6.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 90. What is the largest of them?
  8. 8.The sum of two numbers is 22 and their difference is 12. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 9. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 30. What is the smaller number?
  11. 11.The sum of two numbers is 47 and their difference is 19. What is the larger number?
  12. 12.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  13. 13.One number is 6 times another. Their difference is 25. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 35. What is the smaller number?
  15. 15.The sum of two numbers is 180 and their difference is 8. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  19. 19.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.One number is 5 times another. Their difference is 44. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 6. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 155. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  26. 26.The sum of two numbers is 47 and their difference is 13. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 63. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  29. 29.The sum of two numbers is 37 and their difference is 29. What is the larger number?
  30. 30.One number is 3 times another. Their difference is 68. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 130. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  34. 34.The sum of two numbers is 14 and their difference is 8. What is the smaller number?
  35. 35.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  36. 36.The sum of two numbers is 50 and their difference is 20. What is the larger number?
  37. 37.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  40. 40.One number is 2 times another. Their difference is 26. What is the smaller number?

Answer key

  1. 39
  2. 18
  3. 94
  4. 78
  5. 49
  6. 56
  7. 24
  8. 5
  9. 3
  10. 6
  11. 33
  12. 61
  13. 5
  14. 35
  15. 86
  16. 58
  17. 65
  18. 49
  19. 80
  20. 56
  21. 11
  22. 3
  23. 19
  24. 31
  25. 11
  26. 17
  27. 21
  28. 58
  29. 33
  30. 34
  31. 34
  32. 70
  33. 39
  34. 3
  35. 24
  36. 35
  37. 15
  38. 59
  39. 36
  40. 26

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