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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 978 · 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 3 consecutive numbers is 42. What is the largest of them?
  2. 2.One number is 2 times another. Their difference is 20. What is the smaller number?
  3. 3.The sum of two numbers is 69 and their difference is 7. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 210. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 165. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 32. What is the smaller number?
  7. 7.The sum of two numbers is 99 and their difference is 9. What is the smaller number?
  8. 8.The sum of two numbers is 24 and their difference is 14. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 82. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 135. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 38. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  13. 13.One number is 5 times another. Their difference is 112. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 76. What is the smaller number?
  15. 15.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?
  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 5 consecutive numbers is 165. What is the smallest of them?
  18. 18.One number is 4 times another. Their difference is 33. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  22. 22.The sum of two numbers is 85 and their difference is 57. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 9. 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 4. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  32. 32.The sum of two numbers is 40 and their difference is 2. What is the larger number?
  33. 33.One number is 3 times another. Their difference is 26. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 46. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 4 consecutive numbers is 198. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  38. 38.The sum of two numbers is 32 and their difference is 18. What is the larger number?
  39. 39.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?
  40. 40.The sum of 4 consecutive numbers is 98. What is the largest of them?

Answer key

  1. 15
  2. 20
  3. 31
  4. 44
  5. 33
  6. 16
  7. 45
  8. 5
  9. 22
  10. 29
  11. 19
  12. 16
  13. 28
  14. 38
  15. 37
  16. 68
  17. 31
  18. 11
  19. 10
  20. 23
  21. 16
  22. 14
  23. 65
  24. 53
  25. 35
  26. 61
  27. 75
  28. 21
  29. 36
  30. 13
  31. 28
  32. 21
  33. 13
  34. 23
  35. 59
  36. 51
  37. 6
  38. 25
  39. 47
  40. 26

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