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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 693 · 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 15. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 3 consecutive numbers is 30. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  4. 4.The sum of two numbers is 90 and their difference is 18. What is the larger number?
  5. 5.The sum of 4 consecutive numbers is 218. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 50. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 7. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 4 consecutive numbers is 54. What is the largest of them?
  10. 10.The sum of two numbers is 42 and their difference is 26. What is the smaller number?
  11. 11.One number is 5 times another. Their difference is 112. What is the smaller number?
  12. 12.The sum of two numbers is 76 and their difference is 66. What is the smaller number?
  13. 13.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 36. What is the largest of them?
  17. 17.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?
  18. 18.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The sum of two numbers is 132 and their difference is 64. What is the larger number?
  22. 22.The sum of two numbers is 51 and their difference is 7. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 92. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 22. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 18. What is the largest of them?
  27. 27.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?
  28. 28.One number is 2 times another. Their difference is 34. What is the smaller number?
  29. 29.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?
  30. 30.The sum of two numbers is 13 and their difference is 11. What is the larger number?
  31. 31.One number is 5 times another. Their difference is 36. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 48. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 96. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 130. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 300. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 33. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 93. What is the smaller number?
  39. 39.One number is 3 times another. Their difference is 12. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 23. What is the smaller number?

Answer key

  1. 69
  2. 11
  3. 6
  4. 54
  5. 56
  6. 25
  7. 7
  8. 25
  9. 15
  10. 8
  11. 28
  12. 5
  13. 12
  14. 85
  15. 49
  16. 13
  17. 78
  18. 71
  19. 49
  20. 79
  21. 98
  22. 22
  23. 23
  24. 22
  25. 38
  26. 7
  27. 59
  28. 34
  29. 45
  30. 12
  31. 9
  32. 24
  33. 24
  34. 34
  35. 89
  36. 62
  37. 12
  38. 31
  39. 6
  40. 23

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