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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 762 · 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 102 and their difference is 2. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 158. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.One number is 4 times another. Their difference is 81. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 26. What is the smaller number?
  7. 7.The sum of two numbers is 18 and their difference is 8. What is the smaller number?
  8. 8.The sum of two numbers is 107 and their difference is 81. What is the larger number?
  9. 9.One number is 2 times another. Their difference is 16. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 117. What is the smaller number?
  11. 11.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?
  12. 12.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?
  13. 13.One number is 3 times another. Their difference is 8. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 54. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  18. 18.The sum of two numbers is 94 and their difference is 78. What is the larger number?
  19. 19.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  20. 20.The sum of two numbers is 121 and their difference is 3. What is the larger number?
  21. 21.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  22. 22.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  23. 23.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?
  24. 24.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?
  25. 25.The sum of two numbers is 169 and their difference is 25. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of two numbers is 74 and their difference is 46. What is the larger number?
  33. 33.The sum of two numbers is 94 and their difference is 50. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 96. What is the largest of them?
  35. 35.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive numbers is 87. What is the largest of them?
  39. 39.One number is 5 times another. Their difference is 96. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 332. What is the largest of them?

Answer key

  1. 50
  2. 34
  3. 41
  4. 56
  5. 27
  6. 13
  7. 5
  8. 94
  9. 16
  10. 39
  11. 59
  12. 15
  13. 4
  14. 44
  15. 27
  16. 59
  17. 34
  18. 86
  19. 58
  20. 62
  21. 16
  22. 79
  23. 25
  24. 89
  25. 72
  26. 69
  27. 55
  28. 45
  29. 58
  30. 6
  31. 68
  32. 60
  33. 22
  34. 33
  35. 29
  36. 30
  37. 78
  38. 30
  39. 24
  40. 86

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