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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 285 · 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 digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 4. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  6. 6.The sum of two numbers is 69 and their difference is 1. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 11. What is the smaller number?
  8. 8.One number is 6 times another. Their difference is 50. What is the smaller number?
  9. 9.The sum of two numbers is 33 and their difference is 23. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  11. 11.The sum of two numbers is 74 and their difference is 42. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 140. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 218. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 135. What is the smaller number?
  16. 16.The sum of two numbers is 20 and their difference is 4. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 230. What is the largest of them?
  18. 18.One number is 3 times another. Their difference is 44. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.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?
  21. 21.The sum of two numbers is 14 and their difference is 12. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 226. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  24. 24.One number is 5 times another. Their difference is 136. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  26. 26.The sum of two numbers is 14 and their difference is 12. What is the larger number?
  27. 27.One number is 3 times another. Their difference is 68. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  29. 29.One number is 2 times another. Their difference is 3. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  32. 32.The sum of two numbers is 101 and their difference is 7. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  34. 34.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 5. What is the smaller number?
  36. 36.One number is 6 times another. Their difference is 55. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 14. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 48
  2. 18
  3. 4
  4. 84
  5. 32
  6. 34
  7. 11
  8. 10
  9. 5
  10. 57
  11. 16
  12. 35
  13. 24
  14. 56
  15. 27
  16. 8
  17. 59
  18. 22
  19. 69
  20. 67
  21. 1
  22. 58
  23. 10
  24. 34
  25. 13
  26. 13
  27. 34
  28. 34
  29. 3
  30. 33
  31. 82
  32. 47
  33. 18
  34. 24
  35. 5
  36. 11
  37. 7
  38. 23
  39. 49
  40. 57

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