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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 462 · 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 sum of two numbers is 53 and their difference is 27. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  3. 3.The sum of two numbers is 16 and their difference is 14. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 24. What is the smaller number?
  5. 5.One number is 4 times another. Their difference is 54. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 135. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  11. 11.The sum of two numbers is 159 and their difference is 29. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 62. What is the largest of them?
  13. 13.The sum of two numbers is 60 and their difference is 46. What is the larger number?
  14. 14.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  20. 20.One number is 3 times another. Their difference is 58. What is the smaller number?
  21. 21.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?
  22. 22.One number is 3 times another. Their difference is 80. 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 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?
  25. 25.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 177. What is the largest of them?
  28. 28.The sum of two numbers is 150 and their difference is 22. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 4 consecutive numbers is 70. What is the largest of them?
  33. 33.The sum of two numbers is 185 and their difference is 11. What is the larger number?
  34. 34.The sum of two numbers is 21 and their difference is 17. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 195. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  37. 37.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?
  38. 38.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 9. What is the smaller number?
  40. 40.The sum of two numbers is 145 and their difference is 41. What is the smaller number?

Answer key

  1. 13
  2. 44
  3. 1
  4. 12
  5. 18
  6. 46
  7. 5
  8. 43
  9. 37
  10. 5
  11. 65
  12. 17
  13. 53
  14. 40
  15. 41
  16. 34
  17. 69
  18. 29
  19. 81
  20. 29
  21. 68
  22. 40
  23. 89
  24. 57
  25. 79
  26. 19
  27. 60
  28. 64
  29. 60
  30. 60
  31. 39
  32. 19
  33. 98
  34. 2
  35. 39
  36. 85
  37. 29
  38. 65
  39. 9
  40. 52

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