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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 183 · 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 42. What is the largest of them?
  2. 2.One number is 4 times another. Their difference is 114. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 118. What is the largest of them?
  5. 5.One number is 5 times another. Their difference is 100. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  7. 7.One number is 3 times another. Their difference is 12. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 158. What is the largest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 40 and their difference is 12. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 5 consecutive numbers is 275. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  15. 15.The sum of two numbers is 54 and their difference is 14. What is the larger number?
  16. 16.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  18. 18.The sum of two numbers is 98 and their difference is 22. What is the larger number?
  19. 19.The sum of two numbers is 70 and their difference is 16. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 210. What is the largest of them?
  21. 21.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 120. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 180. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 24. What is the smaller number?
  27. 27.The sum of two numbers is 117 and their difference is 13. What is the larger number?
  28. 28.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  29. 29.The sum of two numbers is 81 and their difference is 65. What is the smaller number?
  30. 30.One number is 3 times another. Their difference is 14. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  32. 32.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  34. 34.The sum of two numbers is 118 and their difference is 14. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 8. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  37. 37.One number is 3 times another. Their difference is 30. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 44. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 105. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 240. What is the largest of them?

Answer key

  1. 15
  2. 38
  3. 45
  4. 31
  5. 25
  6. 14
  7. 6
  8. 41
  9. 45
  10. 14
  11. 49
  12. 78
  13. 57
  14. 30
  15. 34
  16. 58
  17. 49
  18. 60
  19. 27
  20. 54
  21. 56
  22. 14
  23. 16
  24. 24
  25. 36
  26. 8
  27. 65
  28. 41
  29. 8
  30. 7
  31. 46
  32. 74
  33. 5
  34. 52
  35. 8
  36. 56
  37. 15
  38. 11
  39. 36
  40. 63

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