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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 127 · 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.One number is 3 times another. Their difference is 36. What is the smaller number?
  2. 2.The sum of two numbers is 146 and their difference is 38. What is the smaller number?
  3. 3.The sum of two numbers is 27 and their difference is 1. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 29. What is the smaller number?
  5. 5.The sum of two numbers is 22 and their difference is 20. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 108. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 222. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 220. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 105. What is the largest of them?
  12. 12.The sum of two numbers is 42 and their difference is 16. What is the smaller number?
  13. 13.One number is 5 times another. Their difference is 88. What is the smaller number?
  14. 14.One number is 4 times another. Their difference is 54. What is the smaller number?
  15. 15.The sum of two numbers is 44 and their difference is 6. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 24. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 135. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  21. 21.The sum of two numbers is 42 and their difference is 22. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  29. 29.The sum of two numbers is 99 and their difference is 11. What is the larger number?
  30. 30.The sum of two numbers is 133 and their difference is 7. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 110. What is the largest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  36. 36.The sum of 4 consecutive odd numbers is 104. What is the largest 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 9. What is the number?
  38. 38.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  39. 39.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 8. What is the smaller number?

Answer key

  1. 18
  2. 54
  3. 13
  4. 29
  5. 1
  6. 37
  7. 57
  8. 46
  9. 46
  10. 36
  11. 36
  12. 13
  13. 22
  14. 18
  15. 19
  16. 12
  17. 28
  18. 46
  19. 45
  20. 79
  21. 10
  22. 23
  23. 48
  24. 67
  25. 50
  26. 7
  27. 59
  28. 54
  29. 55
  30. 63
  31. 23
  32. 24
  33. 89
  34. 66
  35. 47
  36. 29
  37. 78
  38. 14
  39. 59
  40. 8

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