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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 899 · 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 8. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.One number is 3 times another. Their difference is 42. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 12. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 145. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  10. 10.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?
  11. 11.One number is 2 times another. Their difference is 21. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  13. 13.The sum of two numbers is 139 and their difference is 25. What is the smaller number?
  14. 14.The sum of two numbers is 87 and their difference is 7. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 120. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.One number is 4 times another. Their difference is 99. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  21. 21.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?
  22. 22.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.The sum of 3 consecutive numbers is 147. What is the largest of them?
  24. 24.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  25. 25.The sum of two numbers is 93 and their difference is 3. What is the larger number?
  26. 26.The sum of two numbers is 93 and their difference is 35. What is the smaller number?
  27. 27.The sum of two numbers is 64 and their difference is 2. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 105. What is the largest of them?
  29. 29.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?
  30. 30.The sum of two numbers is 19 and their difference is 3. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 46. What is the largest of them?
  32. 32.The sum of two numbers is 152 and their difference is 8. What is the larger number?
  33. 33.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  35. 35.One number is 6 times another. Their difference is 100. What is the smaller number?
  36. 36.The sum of two numbers is 67 and their difference is 49. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  38. 38.The sum of two numbers is 36 and their difference is 18. What is the larger number?
  39. 39.One number is 3 times another. Their difference is 72. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 26
  2. 21
  3. 12
  4. 23
  5. 33
  6. 22
  7. 29
  8. 50
  9. 40
  10. 69
  11. 21
  12. 38
  13. 57
  14. 40
  15. 9
  16. 24
  17. 34
  18. 33
  19. 14
  20. 60
  21. 67
  22. 16
  23. 50
  24. 27
  25. 48
  26. 29
  27. 31
  28. 36
  29. 56
  30. 8
  31. 13
  32. 80
  33. 86
  34. 28
  35. 20
  36. 9
  37. 32
  38. 27
  39. 36
  40. 79

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