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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 576 · 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 even numbers is 108. What is the smallest of them?
  2. 2.The sum of two numbers is 120 and their difference is 58. What is the larger number?
  3. 3.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  6. 6.The sum of two numbers is 48 and their difference is 28. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 50. What is the smaller number?
  9. 9.The sum of two numbers is 104 and their difference is 68. What is the larger number?
  10. 10.One number is 5 times another. Their difference is 28. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 36. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 117. What is the largest of them?
  13. 13.The sum of two numbers is 52 and their difference is 12. What is the larger number?
  14. 14.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 13. What is the smaller number?
  16. 16.The sum of two numbers is 61 and their difference is 5. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 80. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  20. 20.The sum of two numbers is 16 and their difference is 10. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  24. 24.One number is 5 times another. Their difference is 80. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 9. What is the smaller number?
  28. 28.The sum of two numbers is 97 and their difference is 23. What is the larger number?
  29. 29.One number is 6 times another. Their difference is 95. What is the smaller number?
  30. 30.One number is 3 times another. Their difference is 26. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 12. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  36. 36.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  38. 38.The sum of two numbers is 51 and their difference is 29. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 27. What is the smallest of them?

Answer key

  1. 24
  2. 89
  3. 47
  4. 57
  5. 59
  6. 10
  7. 63
  8. 25
  9. 86
  10. 7
  11. 18
  12. 40
  13. 32
  14. 32
  15. 13
  16. 28
  17. 40
  18. 53
  19. 76
  20. 3
  21. 54
  22. 17
  23. 78
  24. 20
  25. 78
  26. 25
  27. 9
  28. 60
  29. 19
  30. 13
  31. 89
  32. 52
  33. 4
  34. 12
  35. 58
  36. 51
  37. 30
  38. 11
  39. 73
  40. 8

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