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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 659 · 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 numbers is 150. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  3. 3.The sum of two numbers is 41 and their difference is 3. What is the larger number?
  4. 4.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?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 29. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of two numbers is 37 and their difference is 15. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 110 and their difference is 66. What is the smaller number?
  16. 16.The sum of two numbers is 27 and their difference is 7. What is the larger number?
  17. 17.The sum of two numbers is 48 and their difference is 6. What is the larger number?
  18. 18.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 93. What is the largest of them?
  20. 20.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 135. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  23. 23.The sum of two numbers is 119 and their difference is 67. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 32. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  27. 27.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 4. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 22. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  34. 34.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?
  35. 35.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  38. 38.One number is 4 times another. Their difference is 12. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 33. What is the smaller number?
  40. 40.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?

Answer key

  1. 49
  2. 66
  3. 22
  4. 12
  5. 79
  6. 37
  7. 52
  8. 12
  9. 62
  10. 29
  11. 67
  12. 11
  13. 59
  14. 69
  15. 22
  16. 17
  17. 27
  18. 17
  19. 32
  20. 70
  21. 27
  22. 24
  23. 26
  24. 8
  25. 78
  26. 49
  27. 42
  28. 4
  29. 38
  30. 46
  31. 49
  32. 22
  33. 79
  34. 89
  35. 57
  36. 46
  37. 24
  38. 4
  39. 11
  40. 48

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