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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 609 · 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 6. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.One number is 2 times another. Their difference is 40. What is the smaller number?
  3. 3.The sum of two numbers is 74 and their difference is 16. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  5. 5.The sum of two numbers is 67 and their difference is 13. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  7. 7.The sum of two numbers is 41 and their difference is 5. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of 4 consecutive numbers is 70. What is the largest of them?
  13. 13.The sum of two numbers is 62 and their difference is 6. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 95. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.One number is 3 times another. Their difference is 34. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  21. 21.One number is 4 times another. Their difference is 120. What is the smaller number?
  22. 22.The sum of two numbers is 63 and their difference is 29. What is the larger number?
  23. 23.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  24. 24.The sum of two numbers is 34 and their difference is 6. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 78. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 175. What is the largest of them?
  28. 28.The sum of two numbers is 27 and their difference is 17. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  30. 30.One number is 2 times another. Their difference is 22. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 48. What is the largest of them?
  33. 33.The sum of two numbers is 33 and their difference is 19. What is the larger number?
  34. 34.One number is 2 times another. Their difference is 4. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  36. 36.The sum of two numbers is 22 and their difference is 8. What is the larger number?
  37. 37.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  40. 40.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?

Answer key

  1. 15
  2. 40
  3. 29
  4. 16
  5. 27
  6. 77
  7. 18
  8. 33
  9. 61
  10. 57
  11. 35
  12. 19
  13. 34
  14. 24
  15. 21
  16. 51
  17. 51
  18. 48
  19. 17
  20. 25
  21. 40
  22. 46
  23. 70
  24. 14
  25. 89
  26. 27
  27. 37
  28. 5
  29. 43
  30. 22
  31. 46
  32. 17
  33. 26
  34. 4
  35. 80
  36. 15
  37. 82
  38. 25
  39. 32
  40. 26

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