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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 476 · 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 odd numbers is 216. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 78. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 66. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.The sum of 5 consecutive numbers is 230. What is the largest of them?
  9. 9.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 50. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  13. 13.One number is 6 times another. Their difference is 60. What is the smaller number?
  14. 14.One number is 4 times another. Their difference is 87. What is the smaller number?
  15. 15.The sum of two numbers is 140 and their difference is 8. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  19. 19.One number is 5 times another. Their difference is 116. What is the smaller number?
  20. 20.The sum of two numbers is 77 and their difference is 43. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 18. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 12. What is the smaller number?
  23. 23.The sum of two numbers is 89 and their difference is 61. What is the smaller number?
  24. 24.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?
  25. 25.One number is 3 times another. Their difference is 38. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 54. What is the smaller number?
  27. 27.The sum of two numbers is 12 and their difference is 8. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 235. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  31. 31.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  32. 32.The sum of two numbers is 47 and their difference is 37. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  34. 34.One number is 5 times another. Their difference is 120. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 48. What is the smaller number?
  36. 36.The sum of two numbers is 112 and their difference is 58. What is the larger number?
  37. 37.The sum of 4 consecutive numbers is 202. What is the largest of them?
  38. 38.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 186. What is the smallest of them?

Answer key

  1. 57
  2. 72
  3. 26
  4. 68
  5. 10
  6. 23
  7. 35
  8. 48
  9. 15
  10. 56
  11. 14
  12. 8
  13. 12
  14. 29
  15. 66
  16. 60
  17. 27
  18. 73
  19. 29
  20. 17
  21. 18
  22. 6
  23. 14
  24. 46
  25. 19
  26. 18
  27. 2
  28. 49
  29. 42
  30. 58
  31. 42
  32. 5
  33. 20
  34. 30
  35. 12
  36. 85
  37. 52
  38. 12
  39. 48
  40. 45

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