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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 778 · 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 13. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.One number is 3 times another. Their difference is 52. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 162. What is the largest of them?
  6. 6.One number is 5 times another. Their difference is 68. What is the smaller number?
  7. 7.The sum of two numbers is 101 and their difference is 93. What is the larger number?
  8. 8.The sum of two numbers is 104 and their difference is 92. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  10. 10.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?
  11. 11.One number is 3 times another. Their difference is 50. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  13. 13.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?
  14. 14.The sum of 4 consecutive numbers is 78. What is the largest of them?
  15. 15.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 295. What is the largest of them?
  17. 17.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  20. 20.One number is 3 times another. Their difference is 6. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 183. What is the largest of them?
  22. 22.One number is 4 times another. Their difference is 63. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  25. 25.One number is 3 times another. Their difference is 66. What is the smaller number?
  26. 26.The sum of two numbers is 133 and their difference is 1. What is the smaller number?
  27. 27.The sum of two numbers is 65 and their difference is 33. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 120. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 58. What is the largest of them?
  30. 30.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.The sum of two numbers is 51 and their difference is 5. What is the larger number?
  34. 34.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  36. 36.The sum of two numbers is 81 and their difference is 75. What is the larger number?
  37. 37.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 78 and their difference is 32. What is the smaller number?
  40. 40.One number is 5 times another. Their difference is 108. What is the smaller number?

Answer key

  1. 49
  2. 26
  3. 53
  4. 58
  5. 55
  6. 17
  7. 97
  8. 6
  9. 9
  10. 68
  11. 25
  12. 14
  13. 12
  14. 21
  15. 73
  16. 61
  17. 42
  18. 43
  19. 48
  20. 3
  21. 62
  22. 21
  23. 89
  24. 70
  25. 33
  26. 66
  27. 16
  28. 26
  29. 16
  30. 33
  31. 67
  32. 36
  33. 28
  34. 45
  35. 9
  36. 78
  37. 36
  38. 57
  39. 23
  40. 27

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