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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 329 · 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 5 consecutive numbers is 105. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 36. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 102. What is the largest of them?
  7. 7.One number is 3 times another. Their difference is 42. What is the smaller number?
  8. 8.The sum of two numbers is 23 and their difference is 7. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 39. What is the largest of them?
  12. 12.The sum of two numbers is 48 and their difference is 16. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 78. What is the largest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 144 and their difference is 14. What is the smaller number?
  16. 16.The sum of two numbers is 103 and their difference is 19. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  18. 18.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 4. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 100. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 114. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 84. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 265. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of two numbers is 124 and their difference is 60. What is the smaller number?
  34. 34.The sum of two numbers is 136 and their difference is 8. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 72. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 38. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 210. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  39. 39.The sum of two numbers is 55 and their difference is 41. What is the larger number?
  40. 40.One number is 4 times another. Their difference is 15. What is the smaller number?

Answer key

  1. 23
  2. 13
  3. 11
  4. 6
  5. 9
  6. 27
  7. 21
  8. 8
  9. 58
  10. 27
  11. 14
  12. 32
  13. 27
  14. 46
  15. 65
  16. 42
  17. 32
  18. 50
  19. 11
  20. 78
  21. 6
  22. 4
  23. 20
  24. 37
  25. 21
  26. 38
  27. 18
  28. 29
  29. 55
  30. 70
  31. 38
  32. 18
  33. 32
  34. 64
  35. 36
  36. 38
  37. 54
  38. 87
  39. 48
  40. 5

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