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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 38 · 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.One number is 5 times another. Their difference is 28. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 16. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 210. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 177. What is the largest of them?
  7. 7.The sum of two numbers is 131 and their difference is 3. What is the larger number?
  8. 8.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  9. 9.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?
  10. 10.One number is 4 times another. Their difference is 45. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  12. 12.The sum of two numbers is 41 and their difference is 1. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 26. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  16. 16.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?
  17. 17.One number is 2 times another. Their difference is 37. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 62. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 94. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  25. 25.One number is 6 times another. Their difference is 85. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 175. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 69. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  32. 32.The sum of two numbers is 28 and their difference is 14. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 22. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  35. 35.The sum of two numbers is 70 and their difference is 62. What is the larger number?
  36. 36.One number is 2 times another. Their difference is 31. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  38. 38.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 18. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 24. What is the largest of them?

Answer key

  1. 7
  2. 16
  3. 44
  4. 13
  5. 46
  6. 60
  7. 67
  8. 36
  9. 89
  10. 15
  11. 49
  12. 20
  13. 26
  14. 58
  15. 22
  16. 48
  17. 37
  18. 31
  19. 12
  20. 64
  21. 67
  22. 39
  23. 25
  24. 16
  25. 17
  26. 38
  27. 60
  28. 30
  29. 35
  30. 24
  31. 5
  32. 7
  33. 11
  34. 25
  35. 66
  36. 31
  37. 64
  38. 48
  39. 18
  40. 10

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