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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 711 · 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 even numbers is 138. What is the largest of them?
  2. 2.One number is 6 times another. Their difference is 155. What is the smaller number?
  3. 3.One number is 6 times another. Their difference is 185. What is the smaller number?
  4. 4.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?
  5. 5.The sum of two numbers is 70 and their difference is 32. What is the smaller number?
  6. 6.One number is 5 times another. Their difference is 92. What is the smaller number?
  7. 7.The sum of two numbers is 176 and their difference is 20. What is the larger number?
  8. 8.One number is 3 times another. Their difference is 72. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  10. 10.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 84. What is the largest of them?
  18. 18.The sum of two numbers is 87 and their difference is 7. What is the larger number?
  19. 19.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?
  20. 20.The sum of two numbers is 20 and their difference is 10. What is the larger number?
  21. 21.One number is 6 times another. Their difference is 25. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 195. What is the largest of them?
  23. 23.One number is 2 times another. Their difference is 33. What is the smaller number?
  24. 24.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of two numbers is 40 and their difference is 2. What is the larger number?
  27. 27.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?
  28. 28.The sum of two numbers is 76 and their difference is 28. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 69. What is the smallest 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 36. What is the number?
  31. 31.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  32. 32.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 39. What is the smaller number?
  34. 34.The sum of two numbers is 104 and their difference is 8. What is the larger number?
  35. 35.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?
  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.One number is 3 times another. Their difference is 80. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 35. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 114. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 153. What is the largest of them?

Answer key

  1. 48
  2. 31
  3. 37
  4. 56
  5. 19
  6. 23
  7. 98
  8. 36
  9. 56
  10. 69
  11. 32
  12. 48
  13. 54
  14. 23
  15. 79
  16. 57
  17. 29
  18. 47
  19. 69
  20. 15
  21. 5
  22. 41
  23. 33
  24. 54
  25. 49
  26. 21
  27. 38
  28. 24
  29. 21
  30. 15
  31. 47
  32. 47
  33. 13
  34. 56
  35. 89
  36. 46
  37. 40
  38. 9
  39. 30
  40. 52

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