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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 580 · 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 odd numbers is 195. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of two numbers is 57 and their difference is 3. What is the larger number?
  4. 4.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  5. 5.One number is 4 times another. Their difference is 24. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 63. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  9. 9.One number is 6 times another. Their difference is 65. What is the smaller number?
  10. 10.The sum of two numbers is 146 and their difference is 50. What is the larger number?
  11. 11.The sum of 5 consecutive numbers is 275. What is the largest of them?
  12. 12.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  13. 13.The sum of two numbers is 71 and their difference is 63. What is the smaller number?
  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 42 and their difference is 38. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  17. 17.The sum of two numbers is 79 and their difference is 1. What is the larger number?
  18. 18.The sum of 5 consecutive numbers is 115. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  21. 21.The sum of two numbers is 133 and their difference is 59. What is the larger 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 sum of two numbers is 32 and their difference is 18. What is the larger number?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 9. What is the smaller number?
  27. 27.The sum of two numbers is 26 and their difference is 10. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 93. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 40. What is the largest of them?
  30. 30.One number is 6 times another. Their difference is 50. What is the smaller number?
  31. 31.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?
  32. 32.The sum of two numbers is 102 and their difference is 90. What is the smaller number?
  33. 33.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?
  34. 34.One number is 2 times another. Their difference is 13. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 5 consecutive numbers is 205. What is the largest of them?
  39. 39.One number is 4 times another. Their difference is 39. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 40. What is the smaller number?

Answer key

  1. 63
  2. 56
  3. 30
  4. 35
  5. 8
  6. 74
  7. 22
  8. 24
  9. 13
  10. 98
  11. 57
  12. 19
  13. 4
  14. 34
  15. 2
  16. 37
  17. 40
  18. 25
  19. 25
  20. 46
  21. 96
  22. 89
  23. 25
  24. 78
  25. 52
  26. 3
  27. 8
  28. 32
  29. 10
  30. 10
  31. 12
  32. 6
  33. 59
  34. 13
  35. 22
  36. 13
  37. 69
  38. 43
  39. 13
  40. 8

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