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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 947 · 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 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?
  2. 2.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  3. 3.One number is 3 times another. Their difference is 38. What is the smaller number?
  4. 4.The sum of two numbers is 38 and their difference is 10. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  6. 6.One number is 2 times another. Their difference is 22. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 96. What is the largest of them?
  9. 9.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 147. What is the largest of them?
  11. 11.One number is 4 times another. Their difference is 33. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  13. 13.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  14. 14.One number is 5 times another. Their difference is 60. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 28. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 156. What is the largest of them?
  19. 19.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 9. What is the smaller number?
  22. 22.The sum of two numbers is 33 and their difference is 17. What is the larger number?
  23. 23.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  24. 24.One number is 3 times another. Their difference is 8. What is the smaller number?
  25. 25.One number is 3 times another. Their difference is 12. What is the smaller number?
  26. 26.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?
  27. 27.One number is 3 times another. Their difference is 42. What is the smaller number?
  28. 28.The sum of two numbers is 127 and their difference is 45. What is the larger number?
  29. 29.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.The sum of 5 consecutive numbers is 195. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  33. 33.The sum of two numbers is 43 and their difference is 17. What is the larger number?
  34. 34.One number is 2 times another. Their difference is 7. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 170. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 54. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 87. What is the largest of them?
  39. 39.One number is 4 times another. Their difference is 69. What is the smaller number?
  40. 40.The sum of two numbers is 67 and their difference is 7. What is the smaller number?

Answer key

  1. 89
  2. 73
  3. 19
  4. 24
  5. 54
  6. 22
  7. 21
  8. 33
  9. 64
  10. 50
  11. 11
  12. 49
  13. 61
  14. 15
  15. 56
  16. 7
  17. 52
  18. 53
  19. 44
  20. 56
  21. 3
  22. 25
  23. 34
  24. 4
  25. 6
  26. 78
  27. 21
  28. 86
  29. 69
  30. 24
  31. 41
  32. 19
  33. 30
  34. 7
  35. 34
  36. 18
  37. 20
  38. 30
  39. 23
  40. 30

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