2024 Winter Math Final Exam A

Nicki loves to make bracelets for her mother and younger sister! For her mother's bracelet, Nicki used 13 1/4 inches of wire. For her younger sister's bracelet, Nicki used 3/4 of the length of wire she used for her mother's bracelet. How many inches of wire did Nicki use for her younger sister's bracelet? YOU MUST SIMPLIFY YOUR ANSWER.

Answer explanation

This is a Multiplying Fractions Word Problem. The problem is asking you to find "part" of a "part". If we want to find 3/4 OF 13 1/4 inches, we have to multiply these two numbers together.

Imagine: If I had 13 1/4 inches of wire and wanted to find 3/4 of it, I will cut the wire into four equal sections and then measure only THREE! (literally, 3 out of 4 or 3/4 of the 13 1/4 inches)

First, change the mixed number into an improper fraction.

Next, multiply the fractions.

Finally, simplify the answer.

Tags

CCSS.5.NF.B.6

Princeton loves to walk on the weekends. Over the first weekend of the month, Princeton walk 1 3/8 miles at the park. Over the second weekend of the month, Princeton walked 8/9 of the distance he walked during the first weekend. How many miles did Princeton walk on the second weekend? YOU MUST SIMPLIFY YOUR ANSWER.

Answer explanation

This is a Multiplying Fractions Word Problem. The problem is asking you to find "part" of a "part". If we want to find 8/9 OF 1 3/8 miles, we have to multiply these two numbers together.

First, change the mixed number into an improper fraction.

Next, multiply the fractions.

Finally, simplify the answer.

Tags

CCSS.5.NF.B.6

Pete is baking a dozen chocolate chip muffins but was only able to find a recipe for one muffin. The recipe says that for one muffin, you must use 5/8 cups of flour. Since Pete wants to bake a dozen muffins, how many cups of flour will Pete need? YOU MUST SIMPLIFY YOUR ANSWER.

Answer explanation

The is a Multiplying Fractions by Whole Numbers Word Problem. It can also be solved as a Ratio Problem.

Pete wants to make a DOZEN muffins, which means he wants to make TWELVE (12) muffins. A dozen means 12.

The recipe he found is only for one muffin and says one muffin takes 5/8 cups of flour. To use this recipe for 12 muffins, Pete must multiple the number of muffins he is making (12) by the amount of flour one muffin will need (5/8).

Tags

CCSS.6.NS.A.1

Answer explanation

When dividing a decimal by a decimal, the number we are dividing by ("divisor" or the number outside of the house) must become a whole number.

To make a decimal divisor a whole number, move its decimal point back until it becomes a whole number.

Count the number of times you had to move the decimal point back for the divisor. However many times that was is the amount of times you have to move the decimal point back on the number you are dividing into ("dividend" or the number inside the house).

If the dividend still is a decimal and not a whole number, you put the decimal up top AFTER making the divisor a whole number. Then, you divide as normal!

Tags

CCSS.6.NS.B.3

The box plot represents the annual (yearly) depth of snow (in inches) at Mathsville Ski Resort. Which of the following statements are correct? Select ALL that apply.

• The farthest annual depth of snow at Mathsville Ski Resort is about 140 inches.

• The average annual snow depth at Mathsville Ski Resort is about 78 inches.

• The annual depth of snow was more than about 52 inches of snow for MOST years.

• The annual depth of snow was less than about 52 inches for MOST years.

Answer explanation

Remember that each "SECTION" or region of a box plot is equal to 25%!

Sanjay is growing a rose garden as a hobby. Today, he recorded the heights of each roses. The heights of the roses are shown as a dot plot. If each dot represents a rose, which statement is true? Select ALL that apply.

• The data appears to be somewhat symmetrical between 3 and 7.

• The data is evenly distributed between 3 and 7.

• There is an outlier in the upper half of the data set.

• The range of the data set is 8.

Answer explanation

Remember that each "SECTION" or region of a box plot is equal to 25%!

The box plot represents the results of Mrs. Sanchez's class for her Winter Final Exam. What conclusion about the data shown in the plot below valid? Select ALL that apply.

• About half of the students scored above a 63.

• The highest score among the results was 100.

• MOST students scored more than a 70.

• MOST students scored between 30 and 62.

Answer explanation

The dot plot represent the number of cars a famous car dealership sold across one week. Which statement is true? Select ALL that apply.

• The data is clustered in the lower end of the data set.

• The data is almost symmetrical.

• The most cars were sold on Friday.

• The data is clustered in the upper half of the data set.

Amy's school is having the Valentine's Candy-Gram! The students in Amy's class ordered candy bars from the Candy-Gram. The data is represented in the graph. What do the X's represent? Which data set correctly depicts the graph?

• The X's represent the number of candy bars each student bought. The data set is: 0, 1, 2, 3, 4, 5, 6, 7, 8

• The X's represent the number of students who ordered each amount of candy bars. The data set is: 0, 1, 2, 3, 3, 3, 5, 5, 5, 5, 6, 6, 7, 8, 8

• The X's represent the number of students who ordered each amount of candy bars. The data set is: 0, 1, 2, 3, 4, 5, 6, 7, 8

• The X's represent the number of candy bars each student bought. The data set is: 0, 1, 2, 3, 3, 3, 5, 5, 5, 5, 6, 6, 7, 8, 8

Todd's school is having their Field Day! Of the students in his class, 10 are playing tag, 4 are doing water sports, 12 are scooter-racing, and 3 are rock-climbing. What is the ratio of the number of students in Todd's class that are playing tag AND doing water sports TO the TOTAL number of students in Todd's class? Write the ratio as a fraction.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2