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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 721 · 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 sum of 3 consecutive numbers is 30. What is the smallest of them?
  2. 2.One number is 5 times another. Their difference is 36. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 134. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  7. 7.One number is 4 times another. Their difference is 21. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 140. What is the largest 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 6 times another. Their difference is 35. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  13. 13.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 105. What is the smaller number?
  15. 15.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?
  16. 16.The sum of two numbers is 119 and their difference is 57. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 78. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 12. What is the smaller number?
  21. 21.The sum of two numbers is 65 and their difference is 29. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 160. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 29. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 34. What is the smaller number?
  28. 28.The sum of two numbers is 21 and their difference is 9. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 46. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.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?
  35. 35.The sum of 3 consecutive numbers is 87. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 16. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 4 consecutive even numbers is 252. What is the smallest of them?

Answer key

  1. 9
  2. 9
  3. 35
  4. 35
  5. 29
  6. 77
  7. 7
  8. 38
  9. 89
  10. 7
  11. 80
  12. 15
  13. 36
  14. 35
  15. 45
  16. 31
  17. 12
  18. 21
  19. 83
  20. 4
  21. 18
  22. 46
  23. 43
  24. 33
  25. 32
  26. 29
  27. 34
  28. 6
  29. 13
  30. 24
  31. 28
  32. 60
  33. 14
  34. 38
  35. 30
  36. 38
  37. 8
  38. 14
  39. 79
  40. 60

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