PARCC Averages and Rounding Practice Questions

Question 1

1. The average of six numbers is 4. If the average of two of those numbers is 2, what is the average of the other four numbers?

Accepted Answer

5

Answer

The sum of the six numbers is 6 * 4 = 24. The sum of two of those numbers is 2 * 2 = 4. To find the sum of the other four numbers, subtract the sum of the two from the total sum: 24 - 4 = 20. Finally, divide this sum by 4 to get their average: 20 / 4 = 5.

Question 2

2. Kate got a 56 on her first math test. On her second math test, she raised her grade by 12%. What was her grade?

Accepted Answer

62.7

Answer

To find Kate's new grade, first calculate the increase: 12% of 56 is 0.12 * 56 = 6.72. Then, add this increase to her original grade: 56 + 6.72 = 62.72. Therefore, her new grade was 62.7 when rounded to one decimal place.

Question 3

3. A skyscraper is 548 meters high. The building's owners decide to increase its height by 3%. How high would the skyscraper be after the increase?

Accepted Answer

564 meters

Answer

First, calculate the increase in height by finding 3% of 548 meters: 0.03 * 548 = 16.44 meters. Then, add this increase to the original height of the skyscraper: 548 + 16.44 = 564.44 meters. Rounding to the nearest whole meter, the skyscraper would be 564 meters high.

Question 4

4. Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls would Janet produce each month?

Accepted Answer

27

Answer

To find the new production, calculate the 18% increase: 0.18 * 23 dolls = 4.14 dolls. Since you can't produce a fraction of a doll, round this up to 4 or consider the total as 23 * 1.18 = 27.14. Adding the increase to the original amount gives 23 + 4 = 27 dolls, or rounding 27.14 to the nearest whole doll gives 27.

Question 5

5. A class contains an equal number of boys and girls. The average height of the boys is 62 inches. The average height of the all the students is 60 inches. What is the average height of the girls in the class?

Accepted Answer

58 inches

Answer

Let 'n' be the number of boys and 'n' be the number of girls. The total height of the boys is 62n. The total height of all 2n students is 2n * 60 = 120n. The total height of the girls is the total height of all students minus the total height of the boys: 120n - 62n = 58n. Since there are 'n' girls, their average height is 58n / n = 58 inches.

PARCC Practice Test

PARCC Practice Test

PARCC Averages and Rounding Practice Questions