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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 948 · 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 4 consecutive numbers is 70. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  3. 3.The sum of two numbers is 38 and their difference is 18. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  6. 6.The sum of two numbers is 46 and their difference is 36. What is the smaller number?
  7. 7.One number is 5 times another. Their difference is 72. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  9. 9.The sum of two numbers is 53 and their difference is 45. What is the larger number?
  10. 10.The sum of two numbers is 22 and their difference is 16. What is the larger number?
  11. 11.The sum of two numbers is 47 and their difference is 39. What is the larger number?
  12. 12.One number is 3 times another. Their difference is 10. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 36. What is the smaller number?
  14. 14.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?
  15. 15.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?
  16. 16.The sum of two numbers is 156 and their difference is 22. What is the larger number?
  17. 17.One number is 2 times another. Their difference is 15. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  19. 19.The sum of two numbers is 36 and their difference is 2. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 33. What is the largest of them?
  22. 22.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?
  23. 23.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  24. 24.One number is 2 times another. Their difference is 35. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 52. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  27. 27.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?
  28. 28.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.One number is 4 times another. Their difference is 108. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 159. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 48. What is the smaller number?
  32. 32.The sum of two numbers is 21 and their difference is 1. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 66. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  37. 37.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?
  38. 38.One number is 6 times another. Their difference is 75. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  40. 40.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?

Answer key

  1. 16
  2. 85
  3. 10
  4. 89
  5. 23
  6. 5
  7. 18
  8. 46
  9. 49
  10. 19
  11. 43
  12. 5
  13. 18
  14. 29
  15. 34
  16. 89
  17. 15
  18. 78
  19. 17
  20. 32
  21. 12
  22. 23
  23. 14
  24. 35
  25. 13
  26. 25
  27. 45
  28. 13
  29. 36
  30. 54
  31. 16
  32. 10
  33. 13
  34. 26
  35. 33
  36. 39
  37. 15
  38. 15
  39. 58
  40. 78

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