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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 826 · 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 numbers is 114. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  3. 3.The sum of two numbers is 119 and their difference is 23. What is the larger number?
  4. 4.One number is 6 times another. Their difference is 80. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 14. What is the smaller number?
  6. 6.The sum of two numbers is 22 and their difference is 10. What is the larger number?
  7. 7.The sum of two numbers is 126 and their difference is 26. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  9. 9.One number is 5 times another. Their difference is 72. What is the smaller number?
  10. 10.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?
  11. 11.One number is 3 times another. Their difference is 50. What is the smaller number?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 12. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 24. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 180. What is the largest of them?
  17. 17.One number is 5 times another. Their difference is 160. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 65. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  20. 20.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?
  21. 21.One number is 5 times another. Their difference is 128. What is the smaller number?
  22. 22.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?
  23. 23.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?
  24. 24.The sum of two numbers is 115 and their difference is 27. What is the larger number?
  25. 25.One number is 5 times another. Their difference is 132. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 190. What is the largest of them?
  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 digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of 5 consecutive numbers is 150. What is the largest of them?
  31. 31.One number is 6 times another. Their difference is 30. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 14. What is the smaller number?
  33. 33.One number is 4 times another. Their difference is 99. What is the smaller number?
  34. 34.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?
  35. 35.One number is 4 times another. Their difference is 105. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 100. What is the largest of them?
  37. 37.The sum of two numbers is 111 and their difference is 87. What is the smaller number?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  40. 40.The sum of 4 consecutive even numbers is 108. What is the largest of them?

Answer key

  1. 27
  2. 45
  3. 71
  4. 16
  5. 14
  6. 16
  7. 50
  8. 27
  9. 18
  10. 17
  11. 25
  12. 89
  13. 12
  14. 12
  15. 20
  16. 38
  17. 40
  18. 13
  19. 21
  20. 78
  21. 32
  22. 24
  23. 13
  24. 71
  25. 33
  26. 43
  27. 40
  28. 56
  29. 15
  30. 32
  31. 6
  32. 7
  33. 33
  34. 36
  35. 35
  36. 22
  37. 12
  38. 35
  39. 18
  40. 30

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