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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 836 · 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 6 times another. Their difference is 100. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 66. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  4. 4.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 60. What is the smaller number?
  6. 6.One number is 6 times another. Their difference is 165. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.The sum of 4 consecutive numbers is 78. What is the largest of them?
  9. 9.The sum of two numbers is 35 and their difference is 29. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 28. What is the smaller number?
  13. 13.The sum of two numbers is 72 and their difference is 14. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 95. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 15. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 108. What is the largest of them?
  21. 21.The sum of two numbers is 103 and their difference is 63. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 85. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 70. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 84. What is the smaller number?
  25. 25.The sum of two numbers is 34 and their difference is 28. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 300. What is the largest of them?
  30. 30.The sum of two numbers is 95 and their difference is 47. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 246. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 100. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  36. 36.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 21. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  40. 40.The sum of two numbers is 57 and their difference is 15. What is the larger number?

Answer key

  1. 20
  2. 22
  3. 13
  4. 81
  5. 15
  6. 33
  7. 79
  8. 21
  9. 3
  10. 40
  11. 15
  12. 7
  13. 29
  14. 82
  15. 19
  16. 67
  17. 33
  18. 15
  19. 23
  20. 37
  21. 20
  22. 17
  23. 14
  24. 21
  25. 31
  26. 6
  27. 29
  28. 76
  29. 62
  30. 24
  31. 80
  32. 63
  33. 22
  34. 47
  35. 58
  36. 56
  37. 62
  38. 7
  39. 15
  40. 36

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