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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 890 · 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 4 times another. Their difference is 54. What is the smaller number?
  2. 2.The sum of two numbers is 19 and their difference is 3. What is the larger number?
  3. 3.The sum of two numbers is 75 and their difference is 17. What is the larger number?
  4. 4.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 20. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 66. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 246. What is the largest of them?
  10. 10.The sum of two numbers is 117 and their difference is 11. What is the smaller number?
  11. 11.The sum of two numbers is 119 and their difference is 5. What is the larger number?
  12. 12.One number is 4 times another. Their difference is 69. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 29. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 72. What is the largest of them?
  16. 16.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  17. 17.One number is 5 times another. Their difference is 20. What is the smaller number?
  18. 18.The sum of two numbers is 74 and their difference is 52. 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 3 consecutive odd numbers is 51. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  22. 22.One number is 6 times another. Their difference is 80. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 128. What is the smaller number?
  24. 24.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 4 consecutive numbers is 202. What is the largest of them?
  27. 27.The sum of two numbers is 57 and their difference is 17. What is the larger number?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 100. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.One number is 3 times another. Their difference is 6. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 40. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  40. 40.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?

Answer key

  1. 18
  2. 11
  3. 46
  4. 60
  5. 20
  6. 33
  7. 89
  8. 45
  9. 63
  10. 53
  11. 62
  12. 23
  13. 29
  14. 53
  15. 25
  16. 60
  17. 5
  18. 11
  19. 39
  20. 19
  21. 44
  22. 16
  23. 32
  24. 26
  25. 24
  26. 52
  27. 37
  28. 79
  29. 42
  30. 24
  31. 20
  32. 28
  33. 38
  34. 15
  35. 3
  36. 48
  37. 57
  38. 40
  39. 38
  40. 34

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