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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 367 · 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 numbers is 210. What is the largest of them?
  2. 2.One number is 5 times another. Their difference is 112. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 120. What is the largest of them?
  4. 4.The sum of two numbers is 20 and their difference is 16. What is the smaller number?
  5. 5.The sum of two numbers is 35 and their difference is 15. What is the smaller number?
  6. 6.The sum of two numbers is 24 and their difference is 14. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 130. What is the largest of them?
  8. 8.One number is 4 times another. Their difference is 12. What is the smaller number?
  9. 9.The sum of two numbers is 50 and their difference is 2. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  11. 11.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.One number is 5 times another. Their difference is 40. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 162. What is the largest of them?
  14. 14.One number is 3 times another. Their difference is 22. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 122. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 120. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  21. 21.The sum of two numbers is 38 and their difference is 20. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 81. What is the smaller number?
  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 3 consecutive odd numbers is 237. What is the smallest of them?
  27. 27.The sum of two numbers is 95 and their difference is 75. What is the larger number?
  28. 28.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  29. 29.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  30. 30.The sum of two numbers is 129 and their difference is 65. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 72. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 88. What is the smaller number?
  34. 34.The sum of two numbers is 37 and their difference is 25. What is the larger number?
  35. 35.One number is 2 times another. Their difference is 26. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  38. 38.One number is 3 times another. Their difference is 30. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 4 consecutive odd numbers is 288. What is the largest of them?

Answer key

  1. 54
  2. 28
  3. 41
  4. 2
  5. 10
  6. 5
  7. 34
  8. 4
  9. 24
  10. 27
  11. 69
  12. 10
  13. 55
  14. 11
  15. 32
  16. 40
  17. 19
  18. 53
  19. 79
  20. 80
  21. 9
  22. 79
  23. 61
  24. 27
  25. 24
  26. 77
  27. 85
  28. 28
  29. 37
  30. 32
  31. 12
  32. 36
  33. 22
  34. 31
  35. 26
  36. 15
  37. 32
  38. 15
  39. 25
  40. 75

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