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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 900 · 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 57 and their difference is 11. What is the larger number?
  2. 2.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?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 35. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 235. What is the largest of them?
  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 4. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.One number is 3 times another. Their difference is 22. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 3. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 57. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 154. What is the largest of them?
  15. 15.The sum of two numbers is 162 and their difference is 6. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  19. 19.The sum of two numbers is 51 and their difference is 39. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 10. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 4 consecutive numbers is 162. What is the largest of them?
  26. 26.The sum of two numbers is 106 and their difference is 8. What is the larger number?
  27. 27.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.The sum of two numbers is 17 and their difference is 7. What is the larger number?
  29. 29.One number is 5 times another. Their difference is 144. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  32. 32.The sum of 5 consecutive numbers is 50. What is the largest of them?
  33. 33.One number is 4 times another. Their difference is 39. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 40. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  38. 38.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  39. 39.The sum of two numbers is 14 and their difference is 6. What is the smaller number?
  40. 40.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?

Answer key

  1. 34
  2. 24
  3. 58
  4. 28
  5. 7
  6. 49
  7. 89
  8. 13
  9. 11
  10. 3
  11. 72
  12. 57
  13. 19
  14. 40
  15. 78
  16. 30
  17. 12
  18. 53
  19. 6
  20. 29
  21. 13
  22. 5
  23. 29
  24. 26
  25. 42
  26. 57
  27. 37
  28. 12
  29. 36
  30. 78
  31. 79
  32. 12
  33. 13
  34. 8
  35. 6
  36. 14
  37. 75
  38. 65
  39. 4
  40. 69

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