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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 622 · 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 2 times another. Their difference is 40. What is the smaller number?
  2. 2.The sum of two numbers is 75 and their difference is 33. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  4. 4.One number is 6 times another. Their difference is 170. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  7. 7.The sum of two numbers is 76 and their difference is 50. What is the larger number?
  8. 8.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 68 and their difference is 14. What is the larger number?
  11. 11.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  12. 12.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  13. 13.The sum of two numbers is 115 and their difference is 1. What is the larger number?
  14. 14.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 120. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  17. 17.One number is 6 times another. Their difference is 105. What is the smaller number?
  18. 18.The sum of two numbers is 119 and their difference is 7. What is the larger number?
  19. 19.The sum of 4 consecutive numbers is 42. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  21. 21.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  22. 22.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?
  23. 23.One number is 6 times another. Their difference is 110. What is the smaller number?
  24. 24.The sum of two numbers is 21 and their difference is 7. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 60. What is the largest of them?
  26. 26.One number is 5 times another. Their difference is 104. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 117. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 15. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 54. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 96. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 25. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 150. What is the largest of them?
  34. 34.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  36. 36.The sum of two numbers is 134 and their difference is 16. What is the smaller number?
  37. 37.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?
  38. 38.One number is 3 times another. Their difference is 12. What is the smaller number?
  39. 39.One number is 2 times another. Their difference is 17. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?

Answer key

  1. 40
  2. 21
  3. 53
  4. 34
  5. 23
  6. 38
  7. 63
  8. 47
  9. 78
  10. 41
  11. 35
  12. 8
  13. 58
  14. 69
  15. 40
  16. 13
  17. 21
  18. 63
  19. 12
  20. 44
  21. 17
  22. 79
  23. 22
  24. 14
  25. 21
  26. 26
  27. 39
  28. 3
  29. 23
  30. 19
  31. 32
  32. 25
  33. 51
  34. 50
  35. 69
  36. 59
  37. 27
  38. 6
  39. 17
  40. 75

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