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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 509 · 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 260. What is the largest of them?
  2. 2.The sum of two numbers is 82 and their difference is 42. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 11. What is the smaller number?
  6. 6.The sum of two numbers is 28 and their difference is 14. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  9. 9.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?
  10. 10.One number is 5 times another. Their difference is 80. What is the smaller number?
  11. 11.The sum of two numbers is 153 and their difference is 5. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.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?
  14. 14.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  15. 15.One number is 6 times another. Their difference is 85. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  17. 17.The sum of two numbers is 151 and their difference is 41. What is the smaller number?
  18. 18.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?
  19. 19.One number is 4 times another. Their difference is 12. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 18. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  25. 25.One number is 3 times another. Their difference is 66. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 3 consecutive numbers is 48. What is the largest of them?
  28. 28.One number is 5 times another. Their difference is 68. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 280. What is the largest of them?
  31. 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.The sum of 3 consecutive numbers is 24. What is the largest of them?
  33. 33.The sum of two numbers is 88 and their difference is 70. What is the larger number?
  34. 34.The sum of two numbers is 86 and their difference is 16. What is the larger number?
  35. 35.One number is 2 times another. Their difference is 36. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  37. 37.One number is 5 times another. Their difference is 124. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  39. 39.One number is 6 times another. Their difference is 70. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 144. What is the smallest of them?

Answer key

  1. 54
  2. 20
  3. 29
  4. 45
  5. 11
  6. 7
  7. 62
  8. 33
  9. 29
  10. 20
  11. 74
  12. 14
  13. 23
  14. 80
  15. 17
  16. 61
  17. 55
  18. 89
  19. 4
  20. 62
  21. 41
  22. 22
  23. 18
  24. 18
  25. 33
  26. 19
  27. 17
  28. 17
  29. 22
  30. 58
  31. 45
  32. 9
  33. 79
  34. 51
  35. 36
  36. 23
  37. 31
  38. 60
  39. 14
  40. 46

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