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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 741 · 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 83 and their difference is 11. What is the smaller number?
  2. 2.The sum of two numbers is 61 and their difference is 41. What is the larger number?
  3. 3.The sum of two numbers is 100 and their difference is 20. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  6. 6.The sum of two numbers is 159 and their difference is 25. What is the smaller number?
  7. 7.The sum of two numbers is 116 and their difference is 10. What is the larger number?
  8. 8.One number is 2 times another. Their difference is 13. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 85. What is the smaller number?
  10. 10.One number is 5 times another. Their difference is 40. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 14. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  15. 15.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?
  16. 16.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?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  18. 18.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  20. 20.The sum of two numbers is 36 and their difference is 32. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  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.One number is 6 times another. Their difference is 150. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  27. 27.One number is 3 times another. Their difference is 38. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 230. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 30. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  31. 31.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?
  32. 32.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?
  33. 33.One number is 2 times another. Their difference is 9. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 265. What is the largest of them?
  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 5 consecutive numbers is 115. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 117. What is the smaller number?
  38. 38.The sum of two numbers is 93 and their difference is 19. What is the smaller number?
  39. 39.The sum of two numbers is 16 and their difference is 12. What is the larger number?
  40. 40.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?

Answer key

  1. 36
  2. 51
  3. 40
  4. 35
  5. 77
  6. 67
  7. 63
  8. 13
  9. 17
  10. 10
  11. 7
  12. 12
  13. 55
  14. 28
  15. 79
  16. 35
  17. 28
  18. 32
  19. 25
  20. 2
  21. 60
  22. 47
  23. 30
  24. 20
  25. 23
  26. 10
  27. 19
  28. 48
  29. 9
  30. 12
  31. 13
  32. 89
  33. 9
  34. 55
  35. 59
  36. 21
  37. 39
  38. 37
  39. 14
  40. 25

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