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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 207 · 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 sum of 3 consecutive numbers is 48. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  3. 3.One number is 5 times another. Their difference is 16. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 12. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 19. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  9. 9.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?
  10. 10.One number is 3 times another. Their difference is 22. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  12. 12.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  15. 15.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?
  16. 16.One number is 2 times another. Their difference is 37. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 34. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  19. 19.The sum of two numbers is 31 and their difference is 5. What is the smaller number?
  20. 20.The sum of two numbers is 13 and their difference is 9. What is the larger number?
  21. 21.One number is 5 times another. Their difference is 136. What is the smaller number?
  22. 22.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?
  23. 23.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  24. 24.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  25. 25.One number is 2 times another. Their difference is 24. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 75. What is the largest of them?
  27. 27.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?
  28. 28.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 98. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  32. 32.One number is 2 times another. Their difference is 6. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 147. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 35. What is the smaller number?
  36. 36.The sum of two numbers is 72 and their difference is 44. What is the larger number?
  37. 37.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 15
  2. 48
  3. 4
  4. 6
  5. 19
  6. 27
  7. 20
  8. 32
  9. 24
  10. 11
  11. 19
  12. 60
  13. 62
  14. 43
  15. 57
  16. 37
  17. 17
  18. 28
  19. 13
  20. 11
  21. 34
  22. 89
  23. 49
  24. 25
  25. 24
  26. 17
  27. 18
  28. 13
  29. 69
  30. 26
  31. 63
  32. 6
  33. 50
  34. 71
  35. 35
  36. 58
  37. 22
  38. 27
  39. 83
  40. 58

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