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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 324 · 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 5. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.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?
  3. 3.The sum of 3 consecutive numbers is 177. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 132. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  7. 7.The sum of two numbers is 78 and their difference is 62. What is the larger number?
  8. 8.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  9. 9.The sum of two numbers is 109 and their difference is 39. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 54. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  12. 12.The sum of two numbers is 88 and their difference is 8. What is the larger number?
  13. 13.The sum of two numbers is 45 and their difference is 39. What is the smaller number?
  14. 14.The sum of two numbers is 158 and their difference is 16. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 290. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 20. What is the smaller number?
  17. 17.The sum of two numbers is 137 and their difference is 33. What is the larger number?
  18. 18.The sum of 5 consecutive numbers is 40. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  20. 20.One number is 5 times another. Their difference is 88. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.The sum of two numbers is 18 and their difference is 12. What is the larger number?
  23. 23.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?
  24. 24.The sum of two numbers is 159 and their difference is 25. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 20. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 159. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 81. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 13. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.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?
  36. 36.One number is 3 times another. Their difference is 16. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  38. 38.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 30. What is the largest of them?

Answer key

  1. 14
  2. 67
  3. 60
  4. 51
  5. 33
  6. 64
  7. 70
  8. 63
  9. 35
  10. 18
  11. 33
  12. 48
  13. 3
  14. 71
  15. 60
  16. 5
  17. 85
  18. 10
  19. 46
  20. 22
  21. 37
  22. 15
  23. 89
  24. 92
  25. 41
  26. 29
  27. 20
  28. 63
  29. 54
  30. 28
  31. 45
  32. 22
  33. 13
  34. 38
  35. 18
  36. 8
  37. 26
  38. 56
  39. 16
  40. 11

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