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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 436 · 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 32 and their difference is 16. What is the larger number?
  2. 2.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 34. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 36. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  8. 8.The sum of two numbers is 25 and their difference is 17. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  10. 10.The sum of two numbers is 40 and their difference is 10. What is the smaller number?
  11. 11.The sum of two numbers is 59 and their difference is 39. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 154. What is the largest of them?
  13. 13.One number is 3 times another. Their difference is 66. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 190. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  19. 19.The sum of two numbers is 21 and their difference is 5. What is the smaller number?
  20. 20.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?
  21. 21.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?
  22. 22.One number is 5 times another. Their difference is 132. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  24. 24.The sum of two numbers is 102 and their difference is 16. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 225. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  27. 27.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 69. What is the largest of them?
  29. 29.One number is 4 times another. Their difference is 48. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 14. What is the smaller number?
  31. 31.The sum of two numbers is 157 and their difference is 17. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 200. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 24. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 112. What is the smaller number?
  35. 35.The sum of two numbers is 21 and their difference is 15. What is the larger number?
  36. 36.One number is 4 times another. Their difference is 24. What is the smaller number?
  37. 37.The sum of two numbers is 108 and their difference is 56. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  39. 39.The sum of two numbers is 147 and their difference is 49. What is the larger number?
  40. 40.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?

Answer key

  1. 24
  2. 38
  3. 34
  4. 12
  5. 9
  6. 36
  7. 28
  8. 4
  9. 60
  10. 15
  11. 10
  12. 40
  13. 33
  14. 14
  15. 38
  16. 40
  17. 37
  18. 52
  19. 8
  20. 34
  21. 68
  22. 33
  23. 61
  24. 43
  25. 47
  26. 29
  27. 21
  28. 24
  29. 16
  30. 14
  31. 70
  32. 40
  33. 12
  34. 28
  35. 18
  36. 8
  37. 26
  38. 23
  39. 98
  40. 45

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