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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 147 · 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 60 and their difference is 46. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 72. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 34. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  5. 5.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  6. 6.The sum of two numbers is 104 and their difference is 50. What is the larger number?
  7. 7.The sum of two numbers is 46 and their difference is 22. What is the larger number?
  8. 8.The sum of two numbers is 50 and their difference is 20. What is the larger number?
  9. 9.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 150. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 190. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 7. What is the smaller number?
  14. 14.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?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 155. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  18. 18.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  20. 20.The sum of two numbers is 136 and their difference is 34. What is the larger number?
  21. 21.The sum of 4 consecutive numbers is 150. What is the largest of them?
  22. 22.One number is 2 times another. Their difference is 13. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  25. 25.The sum of two numbers is 72 and their difference is 28. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 160. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 215. What is the largest of them?
  28. 28.The sum of two numbers is 148 and their difference is 6. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  31. 31.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  32. 32.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?
  33. 33.The sum of two numbers is 101 and their difference is 59. What is the larger number?
  34. 34.One number is 6 times another. Their difference is 155. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 74. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  39. 39.The sum of two numbers is 140 and their difference is 10. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 100. What is the smaller number?

Answer key

  1. 53
  2. 36
  3. 34
  4. 32
  5. 28
  6. 77
  7. 34
  8. 35
  9. 65
  10. 30
  11. 32
  12. 49
  13. 7
  14. 67
  15. 78
  16. 33
  17. 29
  18. 57
  19. 37
  20. 85
  21. 39
  22. 13
  23. 15
  24. 60
  25. 22
  26. 32
  27. 45
  28. 71
  29. 78
  30. 58
  31. 38
  32. 27
  33. 80
  34. 31
  35. 37
  36. 10
  37. 84
  38. 7
  39. 65
  40. 20

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