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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 838 · 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 2 times another. Their difference is 20. What is the smaller number?
  2. 2.The sum of two numbers is 124 and their difference is 40. What is the smaller number?
  3. 3.The sum of two numbers is 105 and their difference is 27. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 62. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  6. 6.The sum of two numbers is 40 and their difference is 20. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 60. What is the smaller number?
  8. 8.One number is 6 times another. Their difference is 105. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 5 consecutive numbers is 235. What is the largest of them?
  11. 11.The sum of two numbers is 76 and their difference is 30. What is the larger number?
  12. 12.The sum of 5 consecutive numbers is 260. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 54. What is the largest of them?
  14. 14.The sum of two numbers is 67 and their difference is 5. What is the larger number?
  15. 15.One number is 3 times another. Their difference is 74. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  17. 17.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 175. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 250. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  21. 21.The sum of two numbers is 103 and their difference is 59. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 27. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  24. 24.The sum of two numbers is 21 and their difference is 1. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 105. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 130 and their difference is 22. What is the smaller number?
  30. 30.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?
  31. 31.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  32. 32.The sum of two numbers is 135 and their difference is 21. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  34. 34.One number is 3 times another. Their difference is 8. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 39. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 63. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  39. 39.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 100. What is the largest of them?

Answer key

  1. 20
  2. 42
  3. 39
  4. 17
  5. 53
  6. 10
  7. 30
  8. 21
  9. 24
  10. 49
  11. 53
  12. 54
  13. 15
  14. 36
  15. 37
  16. 37
  17. 48
  18. 35
  19. 52
  20. 73
  21. 22
  22. 9
  23. 66
  24. 10
  25. 69
  26. 36
  27. 49
  28. 78
  29. 54
  30. 17
  31. 29
  32. 57
  33. 30
  34. 4
  35. 39
  36. 56
  37. 21
  38. 60
  39. 47
  40. 28

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