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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 339 · 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 12. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  4. 4.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?
  5. 5.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.The sum of two numbers is 164 and their difference is 14. What is the larger number?
  7. 7.The sum of 4 consecutive numbers is 106. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of 5 consecutive numbers is 55. What is the largest of them?
  11. 11.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  13. 13.The sum of two numbers is 95 and their difference is 33. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 40. What is the smaller number?
  16. 16.One number is 4 times another. Their difference is 72. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 88. What is the smaller number?
  18. 18.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?
  19. 19.One number is 2 times another. Their difference is 36. What is the smaller number?
  20. 20.One number is 5 times another. Their difference is 64. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  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.One number is 5 times another. Their difference is 36. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  27. 27.One number is 3 times another. Their difference is 26. What is the smaller number?
  28. 28.The sum of two numbers is 24 and their difference is 16. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  30. 30.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  31. 31.The sum of two numbers is 24 and their difference is 20. What is the larger number?
  32. 32.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 34. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  35. 35.One number is 6 times another. Their difference is 90. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  37. 37.The sum of two numbers is 88 and their difference is 22. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 93. What is the largest of them?
  39. 39.The sum of two numbers is 119 and their difference is 21. What is the smaller number?
  40. 40.The sum of two numbers is 73 and their difference is 67. What is the larger number?

Answer key

  1. 48
  2. 29
  3. 15
  4. 23
  5. 24
  6. 89
  7. 28
  8. 21
  9. 12
  10. 13
  11. 8
  12. 25
  13. 31
  14. 61
  15. 20
  16. 24
  17. 22
  18. 69
  19. 36
  20. 16
  21. 45
  22. 89
  23. 9
  24. 34
  25. 14
  26. 46
  27. 13
  28. 4
  29. 40
  30. 18
  31. 22
  32. 66
  33. 17
  34. 55
  35. 18
  36. 73
  37. 55
  38. 32
  39. 49
  40. 70

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