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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 240 · 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 4 consecutive odd numbers is 232. What is the smallest of them?
  2. 2.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?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  8. 8.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?
  9. 9.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  10. 10.The sum of two numbers is 37 and their difference is 1. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  16. 16.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 27. What is the largest of them?
  19. 19.The sum of two numbers is 133 and their difference is 15. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 6. What is the smaller number?
  21. 21.The sum of two numbers is 44 and their difference is 24. What is the larger number?
  22. 22.The sum of two numbers is 179 and their difference is 5. What is the larger number?
  23. 23.One number is 6 times another. Their difference is 115. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 110. What is the largest of them?
  26. 26.One number is 3 times another. Their difference is 24. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 134. What is the largest of them?
  28. 28.The sum of two numbers is 41 and their difference is 5. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  30. 30.The sum of two numbers is 93 and their difference is 29. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 26. What is the largest of them?
  32. 32.The sum of two numbers is 40 and their difference is 14. What is the smaller number?
  33. 33.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?
  34. 34.The sum of two numbers is 40 and their difference is 2. What is the smaller number?
  35. 35.The sum of two numbers is 27 and their difference is 3. What is the smaller number?
  36. 36.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?
  37. 37.The sum of two numbers is 58 and their difference is 14. What is the larger number?
  38. 38.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  39. 39.The sum of two numbers is 112 and their difference is 56. What is the larger number?
  40. 40.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?

Answer key

  1. 55
  2. 78
  3. 89
  4. 35
  5. 67
  6. 53
  7. 15
  8. 68
  9. 46
  10. 18
  11. 23
  12. 20
  13. 78
  14. 5
  15. 22
  16. 8
  17. 40
  18. 10
  19. 59
  20. 6
  21. 34
  22. 92
  23. 23
  24. 14
  25. 24
  26. 12
  27. 35
  28. 18
  29. 64
  30. 32
  31. 8
  32. 13
  33. 69
  34. 19
  35. 12
  36. 49
  37. 36
  38. 15
  39. 84
  40. 26

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