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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 349 · 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 28. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 76. What is the smaller number?
  3. 3.The sum of two numbers is 46 and their difference is 10. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 44. What is the smaller number?
  5. 5.One number is 4 times another. Their difference is 93. What is the smaller number?
  6. 6.The sum of two numbers is 96 and their difference is 22. What is the smaller number?
  7. 7.The sum of two numbers is 88 and their difference is 30. What is the larger number?
  8. 8.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  9. 9.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  10. 10.One number is 4 times another. Their difference is 15. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 154. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  14. 14.One number is 2 times another. Their difference is 39. What is the smaller number?
  15. 15.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?
  16. 16.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?
  17. 17.One number is 6 times another. Their difference is 25. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 144. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  21. 21.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  22. 22.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  24. 24.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 21. What is the largest of them?
  26. 26.One number is 4 times another. Their difference is 18. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 265. What is the largest of them?
  28. 28.The sum of two numbers is 112 and their difference is 26. What is the larger number?
  29. 29.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?
  30. 30.One number is 3 times another. Their difference is 16. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  32. 32.The sum of two numbers is 143 and their difference is 3. What is the larger number?
  33. 33.One number is 4 times another. Their difference is 60. What is the smaller number?
  34. 34.One number is 2 times another. Their difference is 20. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 16. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 21 and their difference is 11. What is the smaller number?
  39. 39.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?
  40. 40.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?

Answer key

  1. 14
  2. 38
  3. 18
  4. 11
  5. 31
  6. 37
  7. 59
  8. 48
  9. 24
  10. 5
  11. 18
  12. 40
  13. 9
  14. 39
  15. 23
  16. 59
  17. 5
  18. 59
  19. 36
  20. 30
  21. 14
  22. 36
  23. 69
  24. 58
  25. 8
  26. 6
  27. 55
  28. 69
  29. 57
  30. 8
  31. 73
  32. 73
  33. 20
  34. 20
  35. 16
  36. 71
  37. 89
  38. 5
  39. 35
  40. 36

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