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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 632 · 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 7. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  4. 4.The sum of two numbers is 39 and their difference is 5. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 141. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  7. 7.The sum of two numbers is 98 and their difference is 14. What is the larger number?
  8. 8.One number is 2 times another. Their difference is 27. What is the smaller number?
  9. 9.The sum of two numbers is 65 and their difference is 33. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 183. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  15. 15.One number is 4 times another. Their difference is 33. What is the smaller number?
  16. 16.The sum of two numbers is 43 and their difference is 7. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  18. 18.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?
  19. 19.One number is 6 times another. Their difference is 75. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 96. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 128. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  25. 25.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?
  26. 26.One number is 4 times another. Their difference is 63. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 20. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 100. What is the largest of them?
  39. 39.The sum of two numbers is 77 and their difference is 33. What is the larger number?
  40. 40.One number is 6 times another. Their difference is 200. What is the smaller number?

Answer key

  1. 25
  2. 12
  3. 8
  4. 17
  5. 48
  6. 19
  7. 56
  8. 27
  9. 16
  10. 38
  11. 34
  12. 53
  13. 62
  14. 36
  15. 11
  16. 18
  17. 46
  18. 38
  19. 15
  20. 22
  21. 33
  22. 20
  23. 32
  24. 47
  25. 45
  26. 21
  27. 32
  28. 66
  29. 59
  30. 41
  31. 69
  32. 48
  33. 48
  34. 4
  35. 57
  36. 50
  37. 29
  38. 22
  39. 55
  40. 40

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