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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 744 · 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 4 consecutive odd numbers is 120. What is the smallest of them?
  2. 2.The sum of two numbers is 23 and their difference is 13. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of two numbers is 156 and their difference is 6. What is the larger number?
  6. 6.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  7. 7.The sum of two numbers is 26 and their difference is 20. What is the smaller number?
  8. 8.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?
  9. 9.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?
  10. 10.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?
  11. 11.The sum of two numbers is 20 and their difference is 8. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 96. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 35. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  15. 15.The sum of two numbers is 91 and their difference is 3. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 50. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  18. 18.The sum of two numbers is 76 and their difference is 44. What is the smaller number?
  19. 19.The sum of two numbers is 43 and their difference is 31. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  21. 21.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?
  22. 22.The sum of 5 consecutive numbers is 160. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 4 consecutive numbers is 122. What is the largest of them?
  30. 30.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  31. 31.The sum of two numbers is 153 and their difference is 27. What is the larger number?
  32. 32.One number is 6 times another. Their difference is 15. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 124. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 76. What is the smaller number?
  35. 35.The sum of two numbers is 161 and their difference is 7. What is the larger number?
  36. 36.One number is 5 times another. Their difference is 136. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 15. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 159. What is the largest of them?

Answer key

  1. 27
  2. 5
  3. 12
  4. 79
  5. 81
  6. 73
  7. 3
  8. 36
  9. 89
  10. 12
  11. 6
  12. 24
  13. 9
  14. 14
  15. 47
  16. 14
  17. 40
  18. 16
  19. 6
  20. 33
  21. 67
  22. 34
  23. 11
  24. 6
  25. 78
  26. 6
  27. 36
  28. 15
  29. 32
  30. 30
  31. 90
  32. 3
  33. 31
  34. 38
  35. 84
  36. 34
  37. 5
  38. 11
  39. 57
  40. 54

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