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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 564 · 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 even numbers is 276. What is the largest of them?
  2. 2.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?
  3. 3.One number is 2 times another. Their difference is 39. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 63. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  7. 7.One number is 3 times another. Their difference is 80. What is the smaller number?
  8. 8.One number is 2 times another. Their difference is 8. What is the smaller number?
  9. 9.The sum of two numbers is 39 and their difference is 13. What is the smaller number?
  10. 10.The sum of two numbers is 69 and their difference is 61. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  14. 14.One number is 4 times another. Their difference is 99. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.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?
  22. 22.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?
  23. 23.One number is 2 times another. Their difference is 27. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 78. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 30. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 25. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 114. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 162 and their difference is 20. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 39. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 80. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 135. What is the largest of them?

Answer key

  1. 72
  2. 34
  3. 39
  4. 22
  5. 43
  6. 13
  7. 40
  8. 8
  9. 13
  10. 4
  11. 17
  12. 35
  13. 39
  14. 33
  15. 50
  16. 23
  17. 75
  18. 45
  19. 57
  20. 36
  21. 46
  22. 23
  23. 27
  24. 59
  25. 49
  26. 27
  27. 30
  28. 25
  29. 31
  30. 60
  31. 39
  32. 38
  33. 58
  34. 71
  35. 18
  36. 13
  37. 11
  38. 18
  39. 16
  40. 47

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