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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 26 · 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 12. What is the smaller number?
  2. 2.The sum of two numbers is 67 and their difference is 3. What is the larger number?
  3. 3.The sum of two numbers is 18 and their difference is 6. What is the larger number?
  4. 4.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  6. 6.One number is 4 times another. Their difference is 21. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  10. 10.The sum of two numbers is 142 and their difference is 40. What is the smaller number?
  11. 11.The sum of two numbers is 141 and their difference is 27. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 88 and their difference is 50. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 81. What is the largest of them?
  20. 20.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  24. 24.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  25. 25.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  26. 26.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.One number is 2 times another. Their difference is 16. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 54. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 230. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  34. 34.The sum of two numbers is 22 and their difference is 4. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 69. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 51. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  40. 40.The sum of two numbers is 103 and their difference is 33. What is the larger number?

Answer key

  1. 12
  2. 35
  3. 12
  4. 58
  5. 15
  6. 7
  7. 81
  8. 24
  9. 15
  10. 51
  11. 57
  12. 34
  13. 17
  14. 56
  15. 19
  16. 71
  17. 68
  18. 89
  19. 28
  20. 44
  21. 51
  22. 45
  23. 10
  24. 10
  25. 24
  26. 60
  27. 25
  28. 16
  29. 25
  30. 15
  31. 59
  32. 26
  33. 52
  34. 9
  35. 23
  36. 18
  37. 28
  38. 59
  39. 76
  40. 68

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