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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 574 · 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 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?
  2. 2.The sum of 3 consecutive numbers is 183. What is the largest of them?
  3. 3.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?
  4. 4.One number is 6 times another. Their difference is 155. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 177. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 150. What is the largest of them?
  9. 9.The sum of two numbers is 102 and their difference is 36. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  12. 12.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?
  13. 13.One number is 4 times another. Their difference is 93. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 220. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  18. 18.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 99. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 145. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 144. What is the largest of them?
  26. 26.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  27. 27.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  28. 28.One number is 2 times another. Their difference is 38. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.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?
  31. 31.The sum of 4 consecutive numbers is 30. What is the largest of them?
  32. 32.One number is 5 times another. Their difference is 132. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 78. What is the largest of them?
  35. 35.One number is 6 times another. Their difference is 135. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 22. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 48. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 85. What is the smaller number?

Answer key

  1. 89
  2. 62
  3. 13
  4. 31
  5. 40
  6. 60
  7. 38
  8. 51
  9. 33
  10. 56
  11. 53
  12. 68
  13. 31
  14. 46
  15. 46
  16. 59
  17. 66
  18. 13
  19. 15
  20. 56
  21. 18
  22. 8
  23. 33
  24. 29
  25. 49
  26. 70
  27. 20
  28. 38
  29. 36
  30. 29
  31. 9
  32. 33
  33. 45
  34. 27
  35. 27
  36. 67
  37. 56
  38. 11
  39. 12
  40. 17

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