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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 803 · 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 5 consecutive numbers is 190. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  3. 3.One number is 2 times another. Their difference is 20. What is the smaller number?
  4. 4.One number is 6 times another. Their difference is 100. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  7. 7.The sum of two numbers is 23 and their difference is 19. What is the smaller number?
  8. 8.One number is 6 times another. Their difference is 55. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 76. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 38. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 90. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.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?
  21. 21.One number is 2 times another. Their difference is 28. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  24. 24.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?
  25. 25.One number is 4 times another. Their difference is 120. What is the smaller number?
  26. 26.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?
  27. 27.The sum of two numbers is 99 and their difference is 9. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 20. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 138. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  32. 32.The sum of two numbers is 36 and their difference is 8. What is the smaller number?
  33. 33.The sum of two numbers is 22 and their difference is 2. What is the larger number?
  34. 34.The sum of two numbers is 35 and their difference is 5. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  38. 38.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?
  39. 39.One number is 4 times another. Their difference is 39. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 216. What is the smallest of them?

Answer key

  1. 36
  2. 29
  3. 20
  4. 20
  5. 43
  6. 49
  7. 2
  8. 11
  9. 35
  10. 19
  11. 59
  12. 21
  13. 11
  14. 15
  15. 39
  16. 54
  17. 48
  18. 31
  19. 56
  20. 78
  21. 28
  22. 27
  23. 69
  24. 89
  25. 40
  26. 23
  27. 45
  28. 4
  29. 33
  30. 47
  31. 6
  32. 14
  33. 12
  34. 15
  35. 10
  36. 69
  37. 38
  38. 24
  39. 13
  40. 70

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