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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 287 · 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 54. What is the number?
  2. 2.The sum of 3 consecutive numbers is 108. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 16. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 40. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  6. 6.The sum of two numbers is 22 and their difference is 4. What is the larger number?
  7. 7.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of two numbers is 115 and their difference is 13. What is the larger number?
  11. 11.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 96. What is the smaller number?
  13. 13.The sum of two numbers is 101 and their difference is 91. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 146. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  16. 16.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 70. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 260. What is the largest of them?
  19. 19.The sum of two numbers is 40 and their difference is 28. What is the smaller number?
  20. 20.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?
  21. 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.The sum of two numbers is 48 and their difference is 44. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 75. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  26. 26.The sum of two numbers is 139 and their difference is 45. What is the larger number?
  27. 27.The sum of two numbers is 82 and their difference is 42. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 9. What is the smaller number?
  29. 29.One number is 4 times another. Their difference is 42. What is the smaller number?
  30. 30.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 90. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 200. What is the smaller number?
  33. 33.The sum of two numbers is 41 and their difference is 21. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 230. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of two numbers is 63 and their difference is 5. What is the larger number?
  38. 38.The sum of two numbers is 92 and their difference is 56. What is the larger number?
  39. 39.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 39
  2. 37
  3. 4
  4. 10
  5. 62
  6. 13
  7. 45
  8. 14
  9. 57
  10. 64
  11. 28
  12. 32
  13. 5
  14. 38
  15. 12
  16. 26
  17. 16
  18. 54
  19. 6
  20. 56
  21. 59
  22. 2
  23. 25
  24. 21
  25. 8
  26. 92
  27. 20
  28. 9
  29. 14
  30. 41
  31. 18
  32. 40
  33. 10
  34. 48
  35. 22
  36. 89
  37. 34
  38. 74
  39. 50
  40. 46

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