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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 325 · 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 numbers is 120. What is the smallest of them?
  2. 2.The sum of two numbers is 92 and their difference is 12. What is the larger number?
  3. 3.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?
  4. 4.The sum of two numbers is 40 and their difference is 32. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 40. What is the smaller number?
  7. 7.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?
  8. 8.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?
  9. 9.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  11. 11.One number is 5 times another. Their difference is 92. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  13. 13.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 75. What is the largest of them?
  16. 16.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  22. 22.The sum of two numbers is 65 and their difference is 5. What is the larger number?
  23. 23.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 57 and their difference is 21. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 52. What is the smaller number?
  27. 27.The sum of two numbers is 34 and their difference is 18. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  29. 29.The sum of two numbers is 29 and their difference is 21. What is the larger number?
  30. 30.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 7. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  33. 33.The sum of two numbers is 137 and their difference is 5. What is the larger number?
  34. 34.The sum of two numbers is 91 and their difference is 37. What is the larger number?
  35. 35.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of two numbers is 27 and their difference is 7. What is the larger number?
  37. 37.One number is 4 times another. Their difference is 30. What is the smaller number?
  38. 38.The sum of two numbers is 113 and their difference is 21. What is the larger number?
  39. 39.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 40. What is the largest of them?

Answer key

  1. 39
  2. 52
  3. 23
  4. 4
  5. 10
  6. 20
  7. 89
  8. 15
  9. 45
  10. 38
  11. 23
  12. 6
  13. 20
  14. 34
  15. 17
  16. 79
  17. 16
  18. 33
  19. 19
  20. 43
  21. 73
  22. 35
  23. 15
  24. 25
  25. 18
  26. 26
  27. 8
  28. 21
  29. 25
  30. 9
  31. 7
  32. 49
  33. 71
  34. 64
  35. 46
  36. 17
  37. 10
  38. 67
  39. 26
  40. 10

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