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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 72 · 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 14. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  4. 4.The sum of two numbers is 101 and their difference is 63. What is the larger number?
  5. 5.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  6. 6.One number is 4 times another. Their difference is 60. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  8. 8.The sum of two numbers is 31 and their difference is 13. What is the smaller number?
  9. 9.The sum of two numbers is 93 and their difference is 27. What is the larger number?
  10. 10.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?
  11. 11.One number is 6 times another. Their difference is 100. What is the smaller number?
  12. 12.One number is 2 times another. Their difference is 10. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 20. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.The sum of two numbers is 21 and their difference is 15. What is the larger number?
  18. 18.The sum of 3 consecutive numbers is 93. What is the largest of them?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  22. 22.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?
  23. 23.One number is 3 times another. Their difference is 14. What is the smaller number?
  24. 24.One number is 4 times another. Their difference is 81. What is the smaller number?
  25. 25.The sum of two numbers is 63 and their difference is 5. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 95. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 29. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 82. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  30. 30.The sum of two numbers is 111 and their difference is 71. What is the smaller number?
  31. 31.One number is 6 times another. Their difference is 200. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  33. 33.One number is 5 times another. Their difference is 92. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  37. 37.One number is 5 times another. Their difference is 60. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  40. 40.One number is 5 times another. Their difference is 124. What is the smaller number?

Answer key

  1. 59
  2. 86
  3. 15
  4. 82
  5. 69
  6. 20
  7. 66
  8. 9
  9. 60
  10. 26
  11. 20
  12. 10
  13. 47
  14. 60
  15. 10
  16. 78
  17. 18
  18. 32
  19. 89
  20. 49
  21. 62
  22. 56
  23. 7
  24. 27
  25. 29
  26. 19
  27. 29
  28. 22
  29. 12
  30. 20
  31. 40
  32. 27
  33. 23
  34. 20
  35. 52
  36. 21
  37. 15
  38. 52
  39. 71
  40. 31

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