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WorksheetsACAP Review
Total questions: 95
Worksheet time: 1hrs 5mins
(6.8.2 PP2) Lin and her friends went out for ice cream after school. The following questions came up during their trip. Select all the questions that are statistical questions. How far are we from the ice cream shop? What is the most popular ice cream flavor this week? What does a group of 4 people typically spend on ice cream at this shop? Do kids usually prefer to get a cup or a cone? How many toppings are there to choose from?
How far are we from the ice cream shop?
What is the most popular ice cream flavor this week?
What does a group of 4 people typically spend on ice cream at this shop?
Do kids usually prefer to get a cup or a cone?
How many toppings are there to choose from?
A typical height of female athletes on a team in the most recent international sporting event is ______.
160 cm
165 cm
170 cm
175 cm
(6.8.2 PP4) Here is a list of statistical questions. What data would you collect and analyze to answer each question? Are most adults in the school football fans?
Collect survey responses from a random sample of adults regarding their football fandom.
Collect data on the number of football tickets sold to adults.
Collect data on the number of adults attending football games.
Collect financial data on the school’s football program.
Drivers in Washington, DC generally need to wait about 30 to 60 seconds at a red light.
15-30 seconds
30-60 seconds
60-90 seconds
90-120 seconds
How many students were in the class?
20
25
30
35
(6.8.3 PP1) A teacher drew a line segment that was 20 inches long on the blackboard. Were students generally accurate in their estimates of the length of the line?
Yes, because most students' estimates clustered around 20 inches.
No, because their estimates varied widely.
Can't determine from the dot plot.
Only a few students were accurate.
The histogram summarizes the data on the body lengths of 143 wild bears. The distribution of body lengths is best described as:
It is roughly symmetric with a clear center and moderate spread.
It is left-skewed with a long tail to the left.
It is right-skewed with a long tail to the right.
It is uniformly distributed across the range.
Determine whether 30 pages is a good estimate of the mean number of pages that Han read each day.
Yes
No
Han recorded the number of pages that he read each day for five days. Based on the dot plot data provided, what is the mean number of pages read during the five days?
6
8
10
12
Han recorded the number of pages that he read each day for five days. The dot plot shows his data. Use the dot plot and the mean to complete the table. Number of pages: 25, 28, 32, 36, 42. Distance from mean: ____. Left or right of mean: ____.
The question asks for the distance from the mean and whether the values are left or right of the mean based on the provided data.
It asks to find the difference between the maximum and minimum values and decide which is closer to the mean.
It requires calculating the median and comparing it to the mode of the data set.
It involves computing the range first and then determining if the mean is higher or lower than exactly half of the data.
Han recorded the number of pages that he read each day for five days. The dot plot shows his data. The mean absolute deviation (MAD) of the data is:
1.2
1.6
2.0
2.4
Han's homework scores are: 100, 100, 100, 100, 95, 100, 90, 100, 0. The teacher uses the mean to calculate the grade for homework. Which argument best explains why the median would be a better measure to use for his homework grades?
Because the median is less affected by outliers such as the 0 score.
Because the median gives higher weight to the best scores.
Because the median averages all the scores effectively.
Because the median always results in a higher grade.
Which statement is true about the MAD of the Australian data set?
It is significantly less than the MAD of the U.S. data set.
It is exactly equal to the MAD of the U.S. data set.
It is approximately equal to the MAD of the U.S. data set.
It is significantly greater than the MAD of the U.S. data set.
Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the mean and median of the data set?
A. The mean would decrease and the median would not change.
B. The mean would increase and the median would not change.
C. The mean would decrease and the median would increase.
D. The mean would increase and the median would increase.
Here is a dot plot that represents a data set; the mean of the data set is greater than its median because there are high outlying values that pull the mean upward.
There are high outlying values that pull the mean upward.
There are low outlying values that pull the mean downward.
The data is symmetrically distributed.
The data has no outliers.
Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data. Determine the greatest number of books read by a student in this group.
4
8
14
20
Determine the median number of books read by the students.
5
10
15
20
Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data. What is the interquartile range (IQR)?
The table shows the number of hours per week that each of 13 seventh-grade students spent doing homework. Which of the following is the most appropriate graph to summarize the data?
Scatter Plot
Box Plot
Histogram
Stem-and-leaf Plot
Pineapples were packed in three large crates. For each crate, the weight of every pineapple in the crate was recorded. Here are three box plots that summarize the weights in each crate. Select all of the statements that are true, according to the box plots.
The weights of the pineapples in Crate 1 were the most variable.
The heaviest pineapple was in Crate 1.
The lightest pineapple was in Crate 1.
Crate 3 had the greatest median weight and the greatest IQR.
More than half the pineapples in Crate 1 and Crate 3 were heavier than the heaviest pineapple in Crate 2.
A whale is at the surface of the ocean to breathe. Its elevation is ___?
0 meters
100 meters
50 meters
10 meters
The whale swims down 300 feet to feed. Determine its elevation.
-300 feet
300 feet
0 feet
600 feet
The whale swims down 150 more feet. What is the whale’s elevation now?
Plot each of the three elevations as a point on a vertical number line and label each with its numeric value.
Plot three points on a vertical line, labeling each with the corresponding numeric value.
Plot one point on a horizontal line and label it with a numeric value.
Plot three points on a vertical line without labels.
Plot two points on a vertical line and label each with a letter.
One night, it is 24°C warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?
-24°C
-12°C
12°C
24°C
Here is a true statement: -8.7 < -8.4. Select all of the statements that are equivalent to -8.7 < -8.4.
-8.7 is further to the left on the number line than -8.4.
-8.7 is less than -8.4.
-8.4 is less than -8.7.
-8.7 is greater than -8.4.
-8.4 is greater than -8.7.
Decide which of the following quantities can be represented by a positive number and which can be represented by a negative number. Give an example of a quantity with the opposite sign in the same situation. a. Tyler’s puppy gained 5 pounds. b. The aquarium leaked 2 gallons of water. c. Andre received a gift of 10.d.Kirangaveagiftof 10. e. A climber descended 550 feet.
The temperature at dawn is 6°C away from 0. Select all the temperatures that are possible.
-12°C
-6°C
0°C
6°C
12°C
At the book sale, all books cost less than $5. a. The most expensive a book could be is up to $4.99.
Up to $4.99
$5
$4
None of the above
At the book sale, all books cost less than $5. Write an inequality to represent costs of books at the sale.
x < 5
x ≤ 5
x > 5
x = 5
At the book sale, all books cost less than $5. c. Which number line best represents the inequality?
A number line with an open circle at 5 and shading to the left.
A number line with a closed circle at 5 and shading to the left.
A number line with an open circle at 5 and shading to the right.
A number line with a closed circle at 5 and shading to the right.
Select all numbers that are solutions to the inequality k > 5.
5.2
4
0.5
6
5.01
Draw a number line to represent the inequality k > 5.
A number line with an open circle at 5 and an arrow to the right
A number line with a closed circle at 5 and an arrow to the right
A number line with an open circle at 5 and an arrow to the left
A number line with a closed circle at 5 and an arrow to the left
The x-axis represents the number of hours before or after noon, and the y-axis represents the temperature in degrees Celsius. At 9 a.m., when it was below freezing, in what quadrant would this point be plotted?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
The x-axis represents the number of hours before or after noon, and the y-axis represents the temperature in degrees Celsius. At 11 a.m., it was 10°C. In what quadrant would this point be plotted?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
The x-axis represents the number of hours before or after noon, and the y-axis represents the temperature in degrees Celsius. c. Choose another time and temperature, then tell the quadrant where the point should be plotted.
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
In the given context, the point (0, 0) represents:
Origin
Undefined
A random point
A mirror image
On the coordinate plane, plot four points that are each 3 units away from point P = (-2, -1). Write the coordinates of each point.
Point H has the same coordinates as point B, except both of its coordinates have the opposite signs. In which quadrant is point H? Convert the above statement into an MCQ question.
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
The coordinates of a rectangle are (3, 0), (3, -5), (-4, 0) and (-4, -5). Determine the length and width of this rectangle.
length = 7, width = 5
length = 5, width = 7
length = 8, width = 4
length = 4, width = 8
The coordinates of a rectangle are (3, 0), (3, -5), (-4, 0) and (-4, -5). What is the perimeter of the rectangle?
24
12
14
18
The coordinates of a rectangle are (3, 0), (3, -5), (-4, 0) and (-4, -5). What is the area of the rectangle?
15
25
35
45
Plot and connect the following points to form a polygon (-3, 2), (2, 2), (2, -4), (-1, -4), (-1, -2), (-3, -2), (-3, 2). Then, find the perimeter of the polygon.
18
20
22
24
Triangle DEF is plotted in the coordinate plane. Which of the following correctly labels its vertices?
D = (-4, -4), E = (-2, -4), F = (-3, -1)
D = (-2, -4), E = (-4, -4), F = (-3, -1)
D = (-4, -4), E = (-3, -1), F = (-2, -4)
D = (-3, -1), E = (-4, -4), F = (-2, -4)
Triangle DEF has vertices D = (-4, -4), E = (-2, -4), and F = (-3, -1). Which of the following sets of 3 points are inside the triangle?
(-3, -3), (-3.5, -3.5), (-2.5, -3.5)
(-4, -4), (-2, -4), (-3, -1)
(-4, -1), (-2, -1), (-3, -1)
(-3, -1), (-3, -2), (-3, -3)
Triangle DEF with vertices D = (-4, -4), E = (-2, -4), and F = (-3, -1) has an area of ?
3
6
4
9
Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour. Will Mai and Clare complete a sign at the same time?
Yes, they complete a sign at the same time (at 24 minutes).
No, they do not complete a sign at the same time.
Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour. Will Mai and Noah complete a sign at the same time? Explain your reasoning.
Yes, they complete a sign at the same time since their rates result in concurrent finishing times.
No, they do not complete a sign at the same time because Mai takes 6 minutes and Noah takes 5 minutes per sign.
Yes, because both finish the same number of signs in half an hour.
No, because the information provided is insufficient to determine the exact time they finish a sign.
Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour. Will Clare and Noah complete a sign at the same time?
Yes, they complete a sign at the same time.
No, they do not complete a sign at the same time.
Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, Clare 8 minutes, and Noah 5 minutes. They work at the same rate for a half hour. Will all three students complete a sign at the same time?
Yes
No
They will start together but finish at different times
Not enough information
Find the product of 12 and 8.
96
86
88
92
Find the greatest common factor of 12 and 8.
4
2
3
6
Find the least common multiple of 12 and 8.
The least common multiple of 12 and 8 is 24.
The least common multiple of 12 and 8 is 16.
The least common multiple of 12 and 8 is 96.
The least common multiple of 12 and 8 is 32.
Find the product of the greatest common factor and the least common multiple of 12 and 8.
The product of the greatest common factor (GCF) and the least common multiple (LCM) of 12 and 8 is 96.
The product of the greatest common factor (GCF) and the least common multiple (LCM) of 12 and 8 is 48.
The product of the greatest common factor (GCF) and the least common multiple (LCM) of 12 and 8 is 72.
The product of the greatest common factor (GCF) and the least common multiple (LCM) of 12 and 8 is 84.
For the equation 2n - 3 = 7, what is the variable?
n
x
m
o
For the equation 2n - 3 = 7, what is the coefficient of the variable?
2
3
7
4
For the equation 2n - 3 = 7, which of these is the solution to the equation?
2
3
5
7
n
A bottle holds 24 ounces of water. It has x ounces of water in it. What does 24 - x represent in this situation?
The amount of water in the bottle.
The total capacity of the bottle.
The remaining amount of water needed to fill the bottle.
The amount of water that overflows the bottle.
A bottle holds 24 ounces of water. It has x ounces of water in it. How many ounces of water are needed to fill the bottle?
x
24
24 - x
x - 24
(6.6.7 PP3) Priya has completed 9 exam questions. This is 60% of the questions on the exam. a. Write an equation representing this situation. Explain the meaning of any variables you use.
9 = 0.60x, where x is the total number of questions on the exam.
9 = 0.60x, where x is the number of questions Priya completed.
0.60 = 9x, where x is the total number of exam questions.
x = 9/0.60, where x is the number of exam questions completed.
Priya has completed 9 exam questions. This is 60% of the questions on the exam. How many questions are on the exam?
10
15
20
12
Consider the expression 5 + 50 ÷ 5. Add grouping symbols so that the value of the expression is 11.
(5 + 50) ÷ 5
5 + (50 ÷ 5)
(5 ÷ 50) + 5
5 ÷ (50 + 5)
(6.6.SC-A PP2) Consider the expression 5 + 50 ÷ 5. b. Add an exponent so that the value of the expression is 7.
1
2
3
4
Consider the expression 5+50÷5 . Add an exponent and a grouping symbol so that the value of the expression is 105. For example, one correct formulation is 5+(50÷5)2 .
5 + (50 ÷ 5)^2
(5 + 50) ÷ 52
5 + 50÷(52)
(5+50÷5)2
Select all the expressions that represent the area of the large, outer rectangle.
5 · 2 + 5 · 4
5(2 + 4)
5 · 6
5 · 2 + 4
5 · 2 · 4
Andre says, "I multiplied 4 by 5, then cubed the result." Select all the expressions that equal Andre’s answer.
(4⋅5)2
203
(4⋅5)3
500
4⋅53
Consider a rectangular prism with length 4 and width and height d. Find an expression for the volume of the prism in terms of d.
4d²
4d
d²
2d²
Consider a rectangular prism with length 4 and width and height d. Compute the volume of the prism when d = 1, when d = 2, and when d = 1/2.
The volume of the prism is given by the formula V = length * width * height. Here, length = 4, width = d, and height = d. Therefore, the volume for different values of d is as follows: 1. When d = 1: V = 4 * 1 * 1 = 4 2. When d = 2: V = 4 * 2 * 2 = 16 3. When d = 1/2: V = 4 * (1/2) * (1/2) = 1.
The volume of the prism is given by the formula V = length + width + height. Here, when d = 1: V = 4 + 1 + 1 = 6; when d = 2: V = 4 + 2 + 2 = 8; when d = 1/2: V = 4 + 0.5 + 0.5 = 5.
The volume of the prism is mistakenly computed as V = length * width, ignoring the height. Therefore, when d = 1: V = 4 * 1 = 4; when d = 2: V = 4 * 2 = 8; when d = 1/2: V = 4 * 0.5 = 2.
The volume of the prism is incorrectly calculated using the formula V = length * (width + height). Thus, when d = 1: V = 4 * (1 + 1) = 8; when d = 2: V = 4 * (2 + 2) = 16; when d = 1/2: V = 4 * (0.5 + 0.5) = 4.
Evaluate each expression for the given value of each variable. a. 2+x3 , x is 3
29
25
35
32
Evaluate each expression for the given value of each variable. b. x2 , x is 21
1/4
1/2
1
2
Evaluate each expression for the given value of each variable. c. 3x2+y , x is 5, y is 3
78
75
80
77
Evaluate each expression for the given value of each variable. d. 10y+x2 , x is 6, y is 4
94
76
66
84
Here is a graph that shows some values for the number of cups of sugar, s, required to make x batches of brownies. Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph. x: 1, 2, 3, 4, 5, 6, 7. S: ___.
Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph.
Compute the slope from the graph.
Determine the intercepts of the graph.
Find the maximum point on the graph.
Here is a graph that shows some values for the number of cups of sugar, s, required to make x batches of brownies. The point (8, 4) means that 4 cups of sugar are needed to make 8 batches of brownies.
4 cups of sugar are needed to make 8 batches of brownies.
8 cups of sugar are needed to make 4 batches of brownies.
8 cups of sugar are needed to make 8 batches of brownies.
4 cups of sugar are needed to make 4 batches of brownies.
Here is a graph that shows some values for the number of cups of sugar, s, required to make x batches of brownies. Which of the following equations shows the amount of sugar in terms of the number of batches?
s = 3x
s = 2x
s = 4x
s = x + 5
Kiran shops for books during a 20% off sale. Determine what percent of the original price of a book Kiran pays during the sale.
80%
20%
50%
100%
Kiran shops for books during a 20% off sale. Complete the table to show how much Kiran pays for books during the sale. Original price in dollars (p): 1, 2, 3, 4, 5, 6, 7, 8, 10. Sale price in dollars (s): ___
0.8, 1.6, 2.4, 3.2, 4.0, 4.8, 5.6, 6.4, 8.0
0.9, 1.8, 2.7, 3.6, 4.5, 5.4, 6.3, 7.2, 9.0
1, 2, 3, 4, 5, 6, 7, 8, 10
0.7, 1.4, 2.1, 2.8, 3.5, 4.2, 4.9, 5.6, 7.0
Kiran shops for books during a 20% off sale. Which equation relates the sale price, s, to the original price, p?
s = p - 20
s = 0.8p
s = 0.2p
s = p / 1.2
Kiran shops for books during a 20% off sale. Create a graph below showing the relationship between the sale price and the original price by plotting the points from the table.
Kiran is using long division to find 623 ÷ 7. He starts by dividing 62 by 7. In which decimal place should Kiran place the first digit of the quotient (8)?
A. Hundreds
B. Tens
C. Ones
D. Tenths
Here is how Han found 31.59 ÷ 13: At the second step, Han subtracts 52 from 55. How do you know that these numbers represent tenths?
Because the subtraction involves the decimal digits in the tenths place.
Because the subtraction result is always in the tenths.
Because the numbers were already in the list of decimal fractions.
Because subtracting 52 from 55 always gives tenths.
Here is how Han found 31.59 ÷ 13: At the third step, Han subtracts 39 from 39. How do you know that these numbers represent hundredths?
Because they are written with two decimal places, which signifies hundredths.
Because they are the result of dividing by 13.
Because the subtraction process automatically converts them to hundredths.
Because the digits come from the whole number part of 31.59.
How many cups does she need for the whole cake?
Mai needs 1 and 1/3 cups of strawberries for the whole cake.
Mai needs 2 cups of strawberries for the whole cake.
Mai needs 1 cup of strawberries for the whole cake.
Mai needs 1 and 1/2 cups of strawberries for the whole cake.
A pool in the shape of a rectangular prism is being filled with water. The pool dimensions are 24 feet in length and 15 feet in width, and the height of the water is 1 1/3 feet. What is the volume of the water in cubic feet?
480
450
500
540
(6.4.15 PP3) Here is a right triangle. What is its area?
(6.4.15 PP3) Here is a right triangle. What is the height h for the base that is 5/4 units long? Show your reasoning.
Before refrigerators existed, some people had blocks of ice delivered to their homes. A delivery wagon had a storage box in the shape of a rectangular prism that was 7 1/2 feet by 6 feet by 6 feet. The cubic ice blocks stored in the box had side lengths 1 1/2 feet. How many ice blocks fit in the storage box?
270
3 3/8
80
180
(6.5.4 PP5) A shipping company is loading cube-shaped crates into a larger cube-shaped container. The smaller cubes have side lengths of 2 1/2 feet, and the larger shipping container has side lengths of 10 feet. How many crates will fit in the large shipping container?
16 crates
32 crates
48 crates
64 crates
Clare wants to mail a package that weighs 4 1/2 pounds. What could this weight be in kilograms?
2.04
4.5
9.92
4,500
(6.3.5 PP1) Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds (2.5 m/s) while Priya traveled 22 meters in 10 seconds (2.2 m/s). Which of them was moving faster?
Mai
Priya
Both moved at the same speed
Cannot determine
(6.3.5 PP2) Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for 2.48, Store Y: 5 cans for 3.00, Store Z: 59 cents per can.
Store X
Store Y
Store Z
The sale price of every item in a store is 85% of its usual price. The usual price of a backpack is $30, what is its sale price?
$25.50
$27.00
$24.00
$26.50
The usual price of a sweatshirt is $18, what is its sale price?
$15.30
$16.50
$14.40
$15.00
The usual price of a soccer ball is $24.80, what is its sale price?
$21.08
$24.80
$23.00
$20.00
For a suitcase to be checked on a flight (instead of carried by hand), it can weigh at most 50 pounds. Andre’s suitcase weighs 23 kilograms. Can Andre check his suitcase? (Note: 10 kilograms ≈ 22 pounds)
Yes
No
