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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 758 · 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 two numbers is 62 and their difference is 4. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 114. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 165. What is the largest of them?
  4. 4.The sum of two numbers is 116 and their difference is 4. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  6. 6.One number is 2 times another. Their difference is 10. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 36. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 280. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of two numbers is 71 and their difference is 27. What is the larger number?
  13. 13.The sum of two numbers is 25 and their difference is 21. What is the larger number?
  14. 14.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 72. What is the largest of them?
  17. 17.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 25. What is the smaller number?
  19. 19.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 260. What is the largest of them?
  21. 21.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?
  22. 22.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.One number is 4 times another. Their difference is 117. What is the smaller number?
  25. 25.The sum of two numbers is 20 and their difference is 18. What is the smaller number?
  26. 26.The sum of two numbers is 103 and their difference is 79. What is the larger number?
  27. 27.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  28. 28.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?
  29. 29.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  30. 30.The sum of two numbers is 79 and their difference is 3. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  32. 32.The sum of two numbers is 20 and their difference is 8. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  34. 34.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?
  35. 35.One number is 3 times another. Their difference is 6. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  39. 39.The sum of two numbers is 27 and their difference is 25. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 40. What is the smaller number?

Answer key

  1. 29
  2. 39
  3. 35
  4. 56
  5. 26
  6. 10
  7. 18
  8. 58
  9. 40
  10. 41
  11. 67
  12. 49
  13. 23
  14. 21
  15. 12
  16. 25
  17. 72
  18. 5
  19. 16
  20. 54
  21. 15
  22. 56
  23. 45
  24. 39
  25. 1
  26. 91
  27. 64
  28. 89
  29. 19
  30. 38
  31. 29
  32. 6
  33. 39
  34. 78
  35. 3
  36. 40
  37. 43
  38. 60
  39. 1
  40. 8

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