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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 373 · 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 16. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 95. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  4. 4.The sum of two numbers is 144 and their difference is 32. What is the smaller number?
  5. 5.The sum of two numbers is 68 and their difference is 46. What is the larger number?
  6. 6.The sum of two numbers is 53 and their difference is 15. What is the larger number?
  7. 7.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?
  8. 8.One number is 4 times another. Their difference is 21. What is the smaller number?
  9. 9.The sum of two numbers is 45 and their difference is 11. What is the larger number?
  10. 10.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  11. 11.One number is 4 times another. Their difference is 51. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  13. 13.The sum of two numbers is 162 and their difference is 34. What is the smaller number?
  14. 14.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?
  15. 15.One number is 4 times another. Their difference is 30. What is the smaller number?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 68. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  19. 19.One number is 6 times another. Their difference is 15. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 183. What is the largest of them?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 120. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 114. What is the smaller number?
  24. 24.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?
  25. 25.One number is 6 times another. Their difference is 80. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 125. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  31. 31.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?
  32. 32.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?
  33. 33.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  34. 34.The sum of two numbers is 125 and their difference is 3. What is the larger number?
  35. 35.One number is 4 times another. Their difference is 27. What is the smaller number?
  36. 36.The sum of two numbers is 31 and their difference is 11. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 56. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 45. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 90. What is the smaller number?

Answer key

  1. 8
  2. 21
  3. 58
  4. 56
  5. 57
  6. 34
  7. 89
  8. 7
  9. 28
  10. 82
  11. 17
  12. 10
  13. 64
  14. 28
  15. 10
  16. 24
  17. 34
  18. 29
  19. 3
  20. 62
  21. 36
  22. 41
  23. 38
  24. 78
  25. 16
  26. 25
  27. 31
  28. 85
  29. 63
  30. 46
  31. 69
  32. 23
  33. 26
  34. 64
  35. 9
  36. 10
  37. 28
  38. 38
  39. 9
  40. 18

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