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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 421 · 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 120. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  3. 3.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  5. 5.The sum of two numbers is 23 and their difference is 3. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 100. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  11. 11.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 103 and their difference is 1. What is the larger number?
  14. 14.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  15. 15.The sum of two numbers is 170 and their difference is 12. What is the larger number?
  16. 16.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 15. What is the smaller number?
  19. 19.The sum of two numbers is 180 and their difference is 14. What is the larger number?
  20. 20.The sum of two numbers is 59 and their difference is 45. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 13. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  23. 23.The sum of two numbers is 74 and their difference is 18. What is the larger number?
  24. 24.The sum of 5 consecutive numbers is 270. What is the largest of them?
  25. 25.One number is 4 times another. Their difference is 36. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 35. What is the smaller number?
  27. 27.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?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  30. 30.The sum of two numbers is 58 and their difference is 48. What is the smaller number?
  31. 31.The sum of two numbers is 20 and their difference is 2. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 24. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  35. 35.The sum of 5 consecutive numbers is 230. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 34 and their difference is 2. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 150. What is the largest of them?
  40. 40.One number is 4 times another. Their difference is 72. What is the smaller number?

Answer key

  1. 22
  2. 33
  3. 72
  4. 72
  5. 10
  6. 65
  7. 20
  8. 18
  9. 58
  10. 7
  11. 56
  12. 35
  13. 52
  14. 11
  15. 91
  16. 54
  17. 57
  18. 15
  19. 97
  20. 7
  21. 13
  22. 34
  23. 46
  24. 56
  25. 12
  26. 35
  27. 36
  28. 56
  29. 28
  30. 5
  31. 9
  32. 24
  33. 67
  34. 19
  35. 48
  36. 19
  37. 13
  38. 16
  39. 32
  40. 24

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