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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 986 · 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 4 consecutive numbers is 42. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  5. 5.The sum of two numbers is 84 and their difference is 66. What is the larger number?
  6. 6.The sum of two numbers is 155 and their difference is 35. What is the larger number?
  7. 7.The sum of two numbers is 34 and their difference is 12. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  10. 10.One number is 4 times another. Their difference is 78. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  13. 13.The sum of two numbers is 72 and their difference is 16. What is the larger number?
  14. 14.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  15. 15.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?
  16. 16.One number is 6 times another. Their difference is 70. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 58. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 177. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  22. 22.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?
  23. 23.One number is 3 times another. Their difference is 48. What is the smaller number?
  24. 24.The sum of two numbers is 35 and their difference is 31. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 55. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 205. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  30. 30.The sum of two numbers is 18 and their difference is 8. What is the larger number?
  31. 31.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 226. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 90. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  38. 38.One number is 5 times another. Their difference is 20. What is the smaller number?
  39. 39.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?
  40. 40.One number is 3 times another. Their difference is 24. What is the smaller number?

Answer key

  1. 9
  2. 89
  3. 76
  4. 80
  5. 75
  6. 95
  7. 11
  8. 15
  9. 11
  10. 26
  11. 53
  12. 36
  13. 44
  14. 15
  15. 57
  16. 14
  17. 31
  18. 23
  19. 16
  20. 60
  21. 78
  22. 14
  23. 24
  24. 2
  25. 13
  26. 59
  27. 43
  28. 18
  29. 30
  30. 13
  31. 47
  32. 8
  33. 58
  34. 24
  35. 79
  36. 76
  37. 46
  38. 5
  39. 17
  40. 12

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