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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 895 · 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 61 and their difference is 41. What is the larger number?
  2. 2.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.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?
  6. 6.The sum of two numbers is 68 and their difference is 66. What is the smaller number?
  7. 7.The sum of two numbers is 148 and their difference is 34. What is the smaller number?
  8. 8.The sum of two numbers is 69 and their difference is 61. What is the larger number?
  9. 9.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  12. 12.The sum of two numbers is 24 and their difference is 14. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  14. 14.The sum of two numbers is 76 and their difference is 8. What is the larger number?
  15. 15.One number is 2 times another. Their difference is 23. What is the smaller number?
  16. 16.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?
  17. 17.The sum of two numbers is 104 and their difference is 74. What is the larger number?
  18. 18.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?
  19. 19.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?
  20. 20.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  21. 21.The sum of two numbers is 45 and their difference is 3. What is the smaller number?
  22. 22.One number is 5 times another. Their difference is 104. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  24. 24.One number is 6 times another. Their difference is 195. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 16. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  30. 30.The sum of two numbers is 47 and their difference is 19. What is the larger number?
  31. 31.One number is 6 times another. Their difference is 135. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 35. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  34. 34.The sum of two numbers is 20 and their difference is 4. What is the larger number?
  35. 35.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  36. 36.The sum of two numbers is 112 and their difference is 12. What is the larger number?
  37. 37.The sum of 4 consecutive numbers is 174. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 159. What is the largest of them?
  39. 39.One number is 6 times another. Their difference is 100. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 54. What is the smallest of them?

Answer key

  1. 51
  2. 38
  3. 53
  4. 57
  5. 24
  6. 1
  7. 57
  8. 65
  9. 37
  10. 45
  11. 17
  12. 19
  13. 42
  14. 42
  15. 23
  16. 89
  17. 89
  18. 67
  19. 78
  20. 36
  21. 21
  22. 26
  23. 17
  24. 39
  25. 67
  26. 16
  27. 55
  28. 23
  29. 58
  30. 33
  31. 27
  32. 7
  33. 23
  34. 12
  35. 10
  36. 62
  37. 45
  38. 54
  39. 20
  40. 16

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