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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 407 · 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 4 consecutive even numbers is 100. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 255. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 34. What is the largest of them?
  4. 4.The sum of two numbers is 30 and their difference is 12. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 42. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  8. 8.The sum of two numbers is 20 and their difference is 6. What is the larger number?
  9. 9.One number is 5 times another. Their difference is 124. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 9. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 105. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 37. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 78. What is the smaller number?
  15. 15.The sum of two numbers is 143 and their difference is 31. What is the smaller number?
  16. 16.The sum of two numbers is 110 and their difference is 72. What is the smaller number?
  17. 17.The sum of two numbers is 46 and their difference is 40. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  20. 20.One number is 2 times another. Their difference is 4. What is the smaller number?
  21. 21.The sum of two numbers is 57 and their difference is 39. What is the larger number?
  22. 22.The sum of 4 consecutive numbers is 170. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 75. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  30. 30.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  33. 33.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?
  34. 34.One number is 4 times another. Their difference is 72. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  36. 36.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?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 135. What is the smallest of them?

Answer key

  1. 28
  2. 53
  3. 10
  4. 9
  5. 18
  6. 21
  7. 10
  8. 13
  9. 31
  10. 9
  11. 34
  12. 23
  13. 37
  14. 39
  15. 56
  16. 19
  17. 3
  18. 39
  19. 19
  20. 4
  21. 48
  22. 44
  23. 25
  24. 34
  25. 62
  26. 68
  27. 48
  28. 85
  29. 27
  30. 60
  31. 89
  32. 55
  33. 24
  34. 24
  35. 29
  36. 46
  37. 37
  38. 36
  39. 5
  40. 25

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