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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 857 · 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 44. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 138. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 144. What is the smaller number?
  6. 6.The sum of two numbers is 23 and their difference is 15. What is the larger number?
  7. 7.The sum of 5 consecutive numbers is 250. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 35. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  10. 10.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  12. 12.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?
  13. 13.One number is 4 times another. Their difference is 39. What is the smaller number?
  14. 14.The sum of two numbers is 32 and their difference is 24. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 194. What is the largest of them?
  16. 16.One number is 3 times another. Their difference is 52. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  18. 18.The sum of two numbers is 142 and their difference is 6. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 234. What is the largest of them?
  20. 20.The sum of two numbers is 24 and their difference is 4. What is the larger number?
  21. 21.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  23. 23.The sum of two numbers is 49 and their difference is 33. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  25. 25.The sum of two numbers is 119 and their difference is 3. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 57. What is the largest of them?
  27. 27.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  28. 28.The sum of two numbers is 99 and their difference is 57. What is the larger number?
  29. 29.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  30. 30.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 46. What is the smaller number?
  32. 32.The sum of two numbers is 72 and their difference is 18. What is the larger number?
  33. 33.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  34. 34.The sum of two numbers is 20 and their difference is 6. What is the larger number?
  35. 35.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  36. 36.The sum of two numbers is 49 and their difference is 5. What is the larger number?
  37. 37.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  39. 39.One number is 5 times another. Their difference is 128. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 265. What is the smallest of them?

Answer key

  1. 14
  2. 47
  3. 16
  4. 74
  5. 36
  6. 19
  7. 52
  8. 35
  9. 19
  10. 78
  11. 50
  12. 89
  13. 13
  14. 4
  15. 50
  16. 26
  17. 75
  18. 68
  19. 60
  20. 14
  21. 34
  22. 37
  23. 8
  24. 77
  25. 61
  26. 20
  27. 25
  28. 78
  29. 45
  30. 60
  31. 23
  32. 45
  33. 75
  34. 13
  35. 16
  36. 27
  37. 13
  38. 20
  39. 32
  40. 51

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