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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 863 · 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 4 consecutive odd numbers is 40. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 155. What is the smaller number?
  6. 6.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?
  7. 7.The sum of two numbers is 69 and their difference is 3. What is the larger number?
  8. 8.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  9. 9.The sum of two numbers is 131 and their difference is 51. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  11. 11.The sum of two numbers is 57 and their difference is 55. What is the larger number?
  12. 12.One number is 5 times another. Their difference is 92. What is the smaller number?
  13. 13.The sum of two numbers is 39 and their difference is 23. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 114. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 82. What is the largest of them?
  17. 17.The sum of two numbers is 126 and their difference is 38. What is the smaller number?
  18. 18.The sum of two numbers is 85 and their difference is 79. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  24. 24.The sum of two numbers is 25 and their difference is 17. What is the smaller number?
  25. 25.The sum of two numbers is 37 and their difference is 21. What is the larger number?
  26. 26.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  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 205. What is the smallest of them?
  30. 30.The sum of two numbers is 66 and their difference is 18. What is the larger number?
  31. 31.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  32. 32.One number is 6 times another. Their difference is 110. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 26. What is the smaller number?
  34. 34.The sum of two numbers is 36 and their difference is 16. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 32. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 48. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  38. 38.One number is 6 times another. Their difference is 100. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 54. What is the largest of them?

Answer key

  1. 13
  2. 67
  3. 32
  4. 13
  5. 31
  6. 89
  7. 36
  8. 49
  9. 40
  10. 29
  11. 56
  12. 23
  13. 8
  14. 80
  15. 39
  16. 22
  17. 44
  18. 3
  19. 13
  20. 24
  21. 59
  22. 32
  23. 77
  24. 4
  25. 29
  26. 42
  27. 50
  28. 4
  29. 39
  30. 42
  31. 57
  32. 22
  33. 13
  34. 10
  35. 8
  36. 12
  37. 76
  38. 20
  39. 14
  40. 15

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