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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 448 · 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 3. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 30 and their difference is 22. What is the larger number?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 171. What is the largest of them?
  5. 5.The sum of two numbers is 45 and their difference is 19. What is the larger number?
  6. 6.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  9. 9.The sum of two numbers is 22 and their difference is 20. What is the larger number?
  10. 10.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 105. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 195. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 165. What is the largest of them?
  14. 14.The sum of two numbers is 42 and their difference is 6. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The sum of two numbers is 29 and their difference is 19. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 10. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 51. What is the largest of them?
  20. 20.The sum of two numbers is 68 and their difference is 58. What is the smaller number?
  21. 21.The sum of two numbers is 38 and their difference is 4. What is the larger number?
  22. 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  23. 23.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 42. What is the largest of them?
  26. 26.One number is 2 times another. Their difference is 19. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 33. What is the smaller number?
  28. 28.The sum of two numbers is 19 and their difference is 3. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 30. What is the largest of them?
  30. 30.The sum of two numbers is 33 and their difference is 23. What is the larger number?
  31. 31.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  32. 32.One number is 6 times another. Their difference is 100. What is the smaller number?
  33. 33.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?
  34. 34.The sum of two numbers is 73 and their difference is 25. What is the larger number?
  35. 35.One number is 2 times another. Their difference is 11. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 26. What is the largest of them?
  37. 37.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  39. 39.One number is 4 times another. Their difference is 54. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 212. What is the smallest of them?

Answer key

  1. 12
  2. 26
  3. 78
  4. 58
  5. 32
  6. 51
  7. 37
  8. 82
  9. 21
  10. 30
  11. 36
  12. 39
  13. 35
  14. 18
  15. 5
  16. 68
  17. 5
  18. 10
  19. 18
  20. 5
  21. 21
  22. 47
  23. 37
  24. 45
  25. 15
  26. 19
  27. 11
  28. 8
  29. 11
  30. 28
  31. 76
  32. 20
  33. 16
  34. 49
  35. 11
  36. 8
  37. 56
  38. 53
  39. 18
  40. 50

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