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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 749 · 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 3 consecutive even numbers is 138. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 104. What is the smaller number?
  4. 4.The sum of two numbers is 49 and their difference is 23. What is the larger number?
  5. 5.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  6. 6.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  7. 7.The sum of two numbers is 62 and their difference is 22. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  10. 10.The sum of two numbers is 55 and their difference is 7. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  12. 12.The sum of two numbers is 151 and their difference is 3. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 108. What is the smaller number?
  14. 14.The sum of two numbers is 52 and their difference is 30. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 74. What is the largest of them?
  18. 18.The sum of two numbers is 102 and their difference is 72. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  20. 20.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 150. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  26. 26.One number is 6 times another. Their difference is 45. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  29. 29.The sum of two numbers is 79 and their difference is 43. What is the larger number?
  30. 30.The sum of 4 consecutive numbers is 218. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 152. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 230. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 33. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 225. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 24. What is the smaller number?

Answer key

  1. 48
  2. 70
  3. 26
  4. 36
  5. 36
  6. 85
  7. 20
  8. 89
  9. 58
  10. 24
  11. 13
  12. 74
  13. 36
  14. 11
  15. 33
  16. 21
  17. 20
  18. 15
  19. 15
  20. 60
  21. 30
  22. 68
  23. 25
  24. 70
  25. 63
  26. 9
  27. 61
  28. 79
  29. 61
  30. 56
  31. 38
  32. 49
  33. 52
  34. 22
  35. 28
  36. 78
  37. 48
  38. 12
  39. 47
  40. 12

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