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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 869 · 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 3 consecutive even numbers is 36. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  3. 3.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of two numbers is 68 and their difference is 8. What is the larger number?
  6. 6.The sum of 4 consecutive numbers is 122. What is the largest of them?
  7. 7.One number is 5 times another. Their difference is 88. What is the smaller number?
  8. 8.One number is 4 times another. Their difference is 18. What is the smaller number?
  9. 9.The sum of two numbers is 27 and their difference is 1. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 38. What is the smaller number?
  11. 11.The sum of two numbers is 33 and their difference is 11. What is the larger number?
  12. 12.One number is 2 times another. Their difference is 40. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 6. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  16. 16.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?
  17. 17.The sum of two numbers is 74 and their difference is 4. What is the larger number?
  18. 18.The sum of 4 consecutive numbers is 94. What is the largest of them?
  19. 19.One number is 5 times another. Their difference is 24. What is the smaller number?
  20. 20.The sum of two numbers is 26 and their difference is 20. What is the smaller number?
  21. 21.The sum of two numbers is 132 and their difference is 52. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 70. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 81. What is the smaller number?
  24. 24.The sum of two numbers is 21 and their difference is 7. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 238. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  27. 27.The sum of two numbers is 22 and their difference is 16. What is the smaller number?
  28. 28.One number is 3 times another. Their difference is 22. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 54. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  32. 32.One number is 2 times another. Their difference is 13. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  34. 34.The sum of two numbers is 67 and their difference is 1. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of two numbers is 25 and their difference is 1. What is the larger number?
  40. 40.The sum of two numbers is 101 and their difference is 69. What is the smaller number?

Answer key

  1. 14
  2. 26
  3. 67
  4. 35
  5. 38
  6. 32
  7. 22
  8. 6
  9. 13
  10. 38
  11. 22
  12. 40
  13. 3
  14. 26
  15. 72
  16. 67
  17. 39
  18. 25
  19. 6
  20. 3
  21. 40
  22. 16
  23. 27
  24. 7
  25. 61
  26. 20
  27. 3
  28. 11
  29. 5
  30. 19
  31. 68
  32. 13
  33. 30
  34. 33
  35. 55
  36. 82
  37. 68
  38. 15
  39. 13
  40. 16

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