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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 638 · 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 3. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 5 consecutive numbers is 230. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 40. What is the smaller number?
  4. 4.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?
  5. 5.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?
  6. 6.The sum of two numbers is 68 and their difference is 60. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of two numbers is 26 and their difference is 10. What is the larger number?
  10. 10.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of 4 consecutive numbers is 150. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  13. 13.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 57. What is the largest of them?
  16. 16.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?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  18. 18.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  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 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?
  22. 22.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  23. 23.One number is 5 times another. Their difference is 72. What is the smaller number?
  24. 24.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 23. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 75. What is the largest of them?
  31. 31.One number is 3 times another. Their difference is 68. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 206. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 3 consecutive numbers is 96. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 84. What is the largest of them?
  38. 38.The sum of two numbers is 80 and their difference is 38. What is the larger number?
  39. 39.The sum of 4 consecutive numbers is 226. What is the largest of them?
  40. 40.The sum of two numbers is 17 and their difference is 7. What is the smaller number?

Answer key

  1. 12
  2. 48
  3. 8
  4. 24
  5. 69
  6. 4
  7. 44
  8. 56
  9. 18
  10. 35
  11. 39
  12. 23
  13. 23
  14. 56
  15. 20
  16. 26
  17. 28
  18. 52
  19. 53
  20. 67
  21. 89
  22. 48
  23. 18
  24. 86
  25. 15
  26. 74
  27. 23
  28. 57
  29. 37
  30. 26
  31. 34
  32. 59
  33. 20
  34. 53
  35. 38
  36. 33
  37. 29
  38. 59
  39. 58
  40. 5

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