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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 472 · 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 4 times another. Their difference is 108. What is the smaller number?
  2. 2.The sum of two numbers is 69 and their difference is 17. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 97 and their difference is 65. What is the smaller number?
  8. 8.The sum of two numbers is 37 and their difference is 7. What is the larger number?
  9. 9.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 78. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 125. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of two numbers is 37 and their difference is 9. What is the larger number?
  16. 16.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  17. 17.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  18. 18.The sum of two numbers is 16 and their difference is 6. What is the smaller number?
  19. 19.One number is 3 times another. Their difference is 64. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  22. 22.The sum of two numbers is 17 and their difference is 13. What is the larger number?
  23. 23.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  24. 24.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?
  25. 25.One number is 4 times another. Their difference is 48. What is the smaller number?
  26. 26.The sum of two numbers is 57 and their difference is 15. What is the smaller number?
  27. 27.The sum of two numbers is 26 and their difference is 2. What is the larger number?
  28. 28.One number is 4 times another. Their difference is 36. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 24. What is the largest of them?
  32. 32.One number is 6 times another. Their difference is 35. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  36. 36.One number is 3 times another. Their difference is 52. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  39. 39.One number is 6 times another. Their difference is 95. What is the smaller number?
  40. 40.The sum of two numbers is 98 and their difference is 10. What is the smaller number?

Answer key

  1. 36
  2. 26
  3. 20
  4. 79
  5. 40
  6. 46
  7. 16
  8. 22
  9. 37
  10. 78
  11. 27
  12. 25
  13. 31
  14. 34
  15. 23
  16. 57
  17. 22
  18. 5
  19. 32
  20. 53
  21. 72
  22. 15
  23. 14
  24. 69
  25. 16
  26. 21
  27. 14
  28. 12
  29. 56
  30. 21
  31. 9
  32. 7
  33. 23
  34. 37
  35. 22
  36. 26
  37. 58
  38. 21
  39. 19
  40. 44

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