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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 748 · 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 5 times another. Their difference is 48. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  3. 3.The sum of two numbers is 43 and their difference is 25. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  7. 7.The sum of two numbers is 133 and their difference is 3. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 146. What is the largest of them?
  9. 9.One number is 5 times another. Their difference is 92. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of two numbers is 85 and their difference is 3. What is the larger number?
  13. 13.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  16. 16.The sum of two numbers is 48 and their difference is 2. What is the smaller number?
  17. 17.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?
  18. 18.The sum of two numbers is 33 and their difference is 19. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 150. What is the largest of them?
  20. 20.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  21. 21.The sum of two numbers is 27 and their difference is 23. What is the larger number?
  22. 22.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 108. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 134. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 5 consecutive numbers is 260. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 265. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 126. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 29. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.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?
  34. 34.One number is 3 times another. Their difference is 58. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 24. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?

Answer key

  1. 12
  2. 75
  3. 9
  4. 75
  5. 81
  6. 38
  7. 65
  8. 38
  9. 23
  10. 50
  11. 78
  12. 44
  13. 26
  14. 39
  15. 18
  16. 23
  17. 12
  18. 7
  19. 39
  20. 54
  21. 25
  22. 83
  23. 36
  24. 35
  25. 48
  26. 54
  27. 55
  28. 69
  29. 43
  30. 12
  31. 29
  32. 25
  33. 35
  34. 29
  35. 24
  36. 45
  37. 16
  38. 13
  39. 89
  40. 29

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