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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 832 · 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.One number is 4 times another. Their difference is 90. What is the smaller number?
  2. 2.The sum of two numbers is 60 and their difference is 36. What is the larger number?
  3. 3.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 156. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 90. What is the largest of them?
  9. 9.The sum of two numbers is 58 and their difference is 26. What is the smaller number?
  10. 10.The sum of two numbers is 116 and their difference is 46. What is the larger number?
  11. 11.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 123. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 234. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 60. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.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?
  18. 18.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 36. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  23. 23.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  24. 24.The sum of two numbers is 104 and their difference is 32. What is the smaller number?
  25. 25.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?
  26. 26.One number is 5 times another. Their difference is 36. What is the smaller number?
  27. 27.The sum of two numbers is 46 and their difference is 20. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 25. What is the smaller number?
  30. 30.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 95. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.One number is 3 times another. Their difference is 40. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of two numbers is 160 and their difference is 22. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  39. 39.The sum of two numbers is 160 and their difference is 24. What is the larger number?
  40. 40.The sum of two numbers is 95 and their difference is 77. What is the smaller number?

Answer key

  1. 30
  2. 48
  3. 61
  4. 47
  5. 39
  6. 11
  7. 18
  8. 20
  9. 16
  10. 81
  11. 53
  12. 42
  13. 60
  14. 18
  15. 14
  16. 14
  17. 78
  18. 82
  19. 42
  20. 13
  21. 49
  22. 62
  23. 48
  24. 36
  25. 67
  26. 9
  27. 13
  28. 12
  29. 5
  30. 48
  31. 19
  32. 71
  33. 58
  34. 20
  35. 24
  36. 69
  37. 78
  38. 33
  39. 92
  40. 9

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