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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 628 · 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 two numbers is 107 and their difference is 37. What is the larger number?
  2. 2.One number is 2 times another. Their difference is 29. What is the smaller number?
  3. 3.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?
  4. 4.The sum of two numbers is 117 and their difference is 43. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of two numbers is 88 and their difference is 6. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  11. 11.The sum of two numbers is 73 and their difference is 7. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  15. 15.The sum of 3 consecutive numbers is 75. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 35. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  20. 20.One number is 5 times another. Their difference is 20. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 115. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 28. What is the smaller number?
  23. 23.The sum of two numbers is 136 and their difference is 22. What is the larger number?
  24. 24.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 150. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 158. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 135. What is the largest of them?
  28. 28.The sum of two numbers is 17 and their difference is 9. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 226. What is the largest of them?
  30. 30.The sum of two numbers is 81 and their difference is 23. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 7. What is the smaller number?
  33. 33.The sum of two numbers is 68 and their difference is 22. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 36. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 90. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  38. 38.The sum of two numbers is 66 and their difference is 22. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 60. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 142. What is the smallest of them?

Answer key

  1. 72
  2. 29
  3. 89
  4. 80
  5. 16
  6. 59
  7. 34
  8. 41
  9. 79
  10. 11
  11. 33
  12. 25
  13. 63
  14. 68
  15. 26
  16. 35
  17. 45
  18. 8
  19. 25
  20. 5
  21. 25
  22. 7
  23. 79
  24. 53
  25. 30
  26. 41
  27. 46
  28. 4
  29. 58
  30. 29
  31. 38
  32. 7
  33. 23
  34. 67
  35. 12
  36. 31
  37. 9
  38. 22
  39. 15
  40. 34

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