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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 126 · 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 14. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.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?
  3. 3.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  4. 4.The sum of two numbers is 26 and their difference is 18. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 16. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 120. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 3 consecutive numbers is 30. What is the largest of them?
  9. 9.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?
  10. 10.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?
  11. 11.One number is 5 times another. Their difference is 148. What is the smaller number?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 111. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  20. 20.The sum of two numbers is 143 and their difference is 39. What is the larger number?
  21. 21.The sum of two numbers is 82 and their difference is 8. What is the larger number?
  22. 22.The sum of two numbers is 115 and their difference is 39. What is the larger number?
  23. 23.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  25. 25.The sum of two numbers is 96 and their difference is 48. What is the larger number?
  26. 26.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  27. 27.One number is 3 times another. Their difference is 20. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  31. 31.The sum of two numbers is 102 and their difference is 52. What is the larger number?
  32. 32.One number is 5 times another. Their difference is 132. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 7. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 158. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  37. 37.The sum of two numbers is 77 and their difference is 17. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 135. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 222. What is the largest of them?

Answer key

  1. 68
  2. 56
  3. 59
  4. 4
  5. 8
  6. 41
  7. 16
  8. 11
  9. 89
  10. 45
  11. 37
  12. 67
  13. 15
  14. 7
  15. 78
  16. 27
  17. 24
  18. 38
  19. 18
  20. 91
  21. 45
  22. 77
  23. 51
  24. 71
  25. 72
  26. 25
  27. 10
  28. 14
  29. 20
  30. 73
  31. 77
  32. 33
  33. 7
  34. 41
  35. 34
  36. 19
  37. 47
  38. 53
  39. 46
  40. 57

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