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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 535 · 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.One number is 3 times another. Their difference is 22. What is the smaller number?
  2. 2.The sum of two numbers is 20 and their difference is 10. What is the larger number?
  3. 3.One number is 5 times another. Their difference is 104. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.One number is 3 times another. Their difference is 58. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  7. 7.One number is 4 times another. Their difference is 81. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  12. 12.One number is 4 times another. Their difference is 78. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 195. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 138. What is the largest of them?
  16. 16.The sum of two numbers is 25 and their difference is 7. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 210. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 39. What is the largest of them?
  20. 20.One number is 6 times another. Their difference is 125. What is the smaller number?
  21. 21.The sum of two numbers is 21 and their difference is 15. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  24. 24.The sum of two numbers is 36 and their difference is 14. What is the larger number?
  25. 25.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  26. 26.The sum of two numbers is 85 and their difference is 9. What is the larger number?
  27. 27.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  28. 28.The sum of two numbers is 73 and their difference is 29. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.One number is 5 times another. Their difference is 92. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 54. What is the smaller number?
  35. 35.The sum of two numbers is 34 and their difference is 14. What is the larger number?
  36. 36.One number is 2 times another. Their difference is 4. What is the smaller number?
  37. 37.The sum of two numbers is 53 and their difference is 39. What is the smaller number?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?

Answer key

  1. 11
  2. 15
  3. 26
  4. 25
  5. 29
  6. 79
  7. 27
  8. 43
  9. 83
  10. 58
  11. 31
  12. 26
  13. 41
  14. 23
  15. 47
  16. 9
  17. 27
  18. 44
  19. 14
  20. 25
  21. 3
  22. 53
  23. 11
  24. 25
  25. 69
  26. 47
  27. 85
  28. 22
  29. 72
  30. 34
  31. 56
  32. 23
  33. 79
  34. 18
  35. 24
  36. 4
  37. 7
  38. 89
  39. 52
  40. 17

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