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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 256 · 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 39. What is the smallest of them?
  2. 2.One number is 2 times another. Their difference is 15. What is the smaller number?
  3. 3.The sum of two numbers is 18 and their difference is 10. What is the smaller number?
  4. 4.One number is 4 times another. Their difference is 27. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 158. What is the largest of them?
  6. 6.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 175. What is the largest of them?
  8. 8.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  9. 9.One number is 5 times another. Their difference is 132. What is the smaller number?
  10. 10.The sum of two numbers is 24 and their difference is 14. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  12. 12.The sum of two numbers is 144 and their difference is 44. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 24. What is the largest of them?
  14. 14.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 12. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  17. 17.The sum of two numbers is 44 and their difference is 2. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 16. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  25. 25.One number is 4 times another. Their difference is 78. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 12. What is the smaller number?
  27. 27.The sum of two numbers is 51 and their difference is 45. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  29. 29.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  32. 32.The sum of two numbers is 26 and their difference is 24. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 40. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  35. 35.The sum of two numbers is 97 and their difference is 59. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  40. 40.One number is 4 times another. Their difference is 21. What is the smaller number?

Answer key

  1. 12
  2. 15
  3. 4
  4. 9
  5. 41
  6. 12
  7. 37
  8. 16
  9. 33
  10. 5
  11. 52
  12. 50
  13. 9
  14. 63
  15. 12
  16. 38
  17. 21
  18. 59
  19. 42
  20. 35
  21. 31
  22. 8
  23. 60
  24. 70
  25. 26
  26. 6
  27. 3
  28. 6
  29. 10
  30. 17
  31. 46
  32. 1
  33. 8
  34. 45
  35. 19
  36. 44
  37. 78
  38. 23
  39. 22
  40. 7

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