PSABDXPG - Grade 10 Mathematics Practice Test 2014
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A farmer harvested a total of 364 pumpkins. The pumpkins had an average weight of 10.9 pounds. Which of the following is closest to the total weight, in pounds, of the pumpkins the farmer harvested?

 

Select one:

 

What is the value of the expression below?

 

 

Select one:

 

The dimensions of a triangle, in units, are represented by expressions, as shown in the diagram below.

 

 

Which of the following expressions represents the perimeter, in units, of the triangle?

 

Select one:

 

Which of the following graphs represents the solution of the system of inequalities below?

 

 

Select one:

 

Which of the following integers is closest to the value of the expression below?

 

 

Select one:

 

Ashley surveyed 20 people at random about the number of television sets in their households. The results of her survey are shown in the line plot below.

 

 

Based on the line plot, what is the mean number of television sets per household?

 

Select one:

 

Which of the following is not a solution of the equation below?

 

 

Select one:

 

A triangle is shown on the coordinate plane below.

 

 

What is the area of the triangle?

 

Select one:

 

The bowling scores for 9 friends are shown in the box below.

 

 

The mean score is 108 and the median score is 95. Which statement best explains why the mean score is greater than the median score?

 

Select one:

 

A linear equation is shown below.

 

 

What is the value of x when 

 

Select one:

 

If , which of the following is equivalent to the expression below?

 

 

Select one:

The diagram below shows a rectangle and its dimensions.

 

 

A square has the same area as the rectangle. What is the length of each side of the square?

 

Select one:

 

Which of the following is equivalent to the expression below?

 

 

Select one:

 

Jaya is buying a new car that has a price of $28,495. She is required to pay a sales tax that is 6.25% of the car’s price.

 

Which of the following estimates is closest to the amount of sales tax Jaya will pay for the car?

 

Select one:

 

One solution of the quadratic equation below is x = -2

 

 

What is the other solution of the quadratic equation? x=?

 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part A)

 

The circle graph below shows the percentages of the types of coins in a collection.

 

 

There are 700 coins in the collection. What is the total number of Standing Liberty quarters in the collection?

 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)
Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part A)

 

Ms. Culjak is giving her students their scores on the last math test. She provides each student with an expression that has a value equal to the number of points the student scored on the test. Leo must score a minimum of 80 points on the test to maintain a B in the class. The expression below represents the number of points Leo scored on the test.

 

 

a. Did Leo score enough points to maintain a B in the class? Show your work or explain how you got your answer.

 

Type your answer below:
Part B)

Gerard estimates that he scored 90 points on the test. The expression below represents the actual number of points Gerard scored on the test.

 

 

b. What is the difference between Gerard’s estimate and the actual number of points he scored on the test? Show your work or explain how you got your answer.

 

Type your answer below:
Part C)

Tia was given the expression below to represent the number of points she scored on the test.

 

 

c. Tia claims that the expression cannot represent the number of points she scored on the test. Explain why Tia’s claim is correct.

 

Type your answer below:
Part D)

Ms. Culjak confirms that Tia’s claim is correct. She says Tia’s expression is missing one set of parentheses. Ms. Culjak also says that Tia scored 76 points on the test.

 

d. Copy Tia’s expression and insert one set of parentheses in the expression so that the value of the expression is 76.

 

Type your answer below:

 

What is the value, to the nearest tenth, of the expression below? 

 

 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

 

In the diagram below, rectangle MNPQ is similar to rectangle RSTU.

 

 

Based on the given dimensions, what is the length of  ?

 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part A)

 

The children’s pool and the adult pool in a recreation center are both in the shape of right rectangular prisms. In the diagram below, the two rectangles represent the children’s pool and the adult pool.

 

Define x and y as follows:

• x = the width, in yards, of the children’s pool
• y = the length, in yards, of the children’s pool

 

a. Write an expression using x and y to represent the area of the children’s pool.

 

Type your answer below:
Part B)

The adult pool has the following measurements:
• The width of the adult pool is 3 times the width of the children’s pool.
• The length of the adult pool is 2 times the length of the children’s pool.

 

b. Write an expression using x and y to represent the area of the adult pool.

Type your answer below:
Part C)

c. What is the ratio of the area of the children’s pool to the area of the adult pool? Show or explain how you got your answer.

Type your answer below:
Part D)

Both of the pools will be filled with water. The depth of the adult pool is 4 times the depth of the children’s pool.

 

d. What is the ratio of the volume of water in the children’s pool to the volume of water in the adult pool? Show or explain how you got your answer.

Type your answer below:
Part A)

 

The table below shows the number of years of work experience and the yearly salary, in thousands of dollars, of 8 people who have the same job.

 

 

Onto your own graph paper, copy the title, the axes, and the labels exactly as shown below.

 

 

a. On the grid you copied, make a scatterplot using the data from the table.

 

Draw your graph on paper, take a picture, and upload it using the upload icon 

 

If you do not have the ability to upload an image of your work, type "Graph is on paper."

 

Type your answer below:
Part B)

b. Draw a line of best fit for the data on the scatterplot you made in part (a).

 

Type your answer below:
Part C)

c. Use the line of best fit you drew in part (b) to predict the yearly salary, in thousands of dollars, for a person who has the same job and 15 years of work experience. Show or explain how you got your answer.

 

Type your answer below:
Part D)

d. Write an equation that represents the line of best fit you drew on the scatterplot. Show or explain how you got your answer.

 

Type your answer below:

 

Hooke’s law states that the force needed to stretch a spring varies directly with the length the spring is stretched. A force of 20 newtons will stretch a spring 5 centimeters. What is the total number of centimeters that a force of 60 newtons will stretch the same spring?

 

Select one:

 

A right circular cone and some of its measurements are shown in the diagram below.

 

 

Based on the diagram, which of the following is closest to the volume of the cone?

 

Select one:

 

The table below shows the numbers of televisions sold at a store in different price ranges last month.

 

 

Which of the following could be the median price of the televisions sold at the store last month?

 

Select one:

 

In the equation below, k and m represent rational numbers.

 

km=1

 

Which of the following must be true?

 

Select one:

 

Which of the following graphs represents a line that has an x-intercept of 2?

 

 

Select one:

 

Ben researched the population of his town for each of the last ten years. He created a scatterplot of the data and noticed that the population increased by about the same amount each year. Ben will determine the equation of the line of best fit for his data.

 

Which of the following statements about the equation of the line of best fit is true?

 

Select one:

 

The radius of a large sphere is 8 times the radius of a small sphere.

 

The surface area of the large sphere is how many times the surface area of the small sphere?

 

 

Select one:

 

On a coordinate grid, triangle PQR is translated 4 units up and then reflected over the y-axis to form triangle P′Q′R′.

 

Which diagram could show triangle PQR, and the location of triangle P′Q′R′ after the transformations?

 

 

Select one:

 

In the diagram below, line h is a transversal of lines f and g.

 

 

Which of the following relationships proves that lines f and g are parallel?

 

Select one:

 

In the diagram below, the dimensions of a student ID card are shown rounded to the nearest whole inch.

 

 

Which of the following could be the actual area, in square inches, of the front of the card?

 

Select one:

 

Janice observed that the heights of the posters in her apartment are always greater than the widths. Which of the following scatterplots could represent the dimensions of the posters in Janice’s apartment?

 

 

Select one:

 

A rectangle has a length of 15 centimeters and a width of 8 centimeters.

 

Which of the following is closest to the radius of a circle that has an area equal to the area of the rectangle?

 

Select one:

 

The first four terms of a quadratic sequence are shown below.

 

6, 9, 14, 21, . . .

 

What is the difference between the 5th term and the 6th term of the quadratic sequence?

 

Select one:

 

Tomás made a scatterplot of data he collected. He determined that the y-intercept of the line of best fit for the scatterplot is negative.

 

Which of the following could be the scatterplot Tomás made?

 

 

 

Select one:
Part A)

 

A chef is making 20 pounds of fruit salad to sell in his shop. The chef will use only grapes and blueberries in the fruit salad.

 

Let x and y be defined as follows:

 

• x = the number of pounds of grapes the chef will use
• y = the number of pounds of blueberries the chef will use

 

a. Write an equation in terms of x and y that can be used to represent the total number of pounds of fruit salad the chef will make.

 

Type your answer below:
Part B)

Grapes cost $2.50 per pound, and blueberries cost $4.00 per pound. The chef spent a total of $59.00 for grapes and blueberries for the fruit salad.

 

b. Write an equation in terms of x and y that can be used to represent the total cost, in dollars, of the fruit salad.

 

Type your answer below:
Part C)

c. Use your answers from parts (a) and (b) to determine the number of pounds of grapes and the number of pounds of blueberries the chef will use to make the fruit salad. Show or explain how you got your answer.

 

Type your answer below:

 

A student is knitting sweaters to give as gifts. The time it takes the student to knit each sweater is 10% less than the time it took the student to knit each previous sweater. It took the student 14 hours to knit the first sweater.

 

Which of the following is closest to the time it will take the student to knit the third sweater?

 

Select one:

 

Which of the following equations is true for all rational number values of x, y, and z ?

 

Select one:

 

Which of the following figures has 90° rotational symmetry?

 

 

Select one:

 

The scatterplot below shows the relationship between the temperature, in degrees Fahrenheit, at a football game and the number of cups of hot chocolate sold during the game.

 

 

Which of the following graphs best represents the line of best fit for this data?

 

 

Select one:
Part A)

 

A ladder is leaning against the side of an office building, as shown in the diagram below.

 

 

The top of the ladder reaches a point on the building that is 16 feet above the ground. The bottom of the ladder is 4 feet from the base of the building.

 

a. Write an equation that could be used to find x, the length in feet of the ladder.

 

Type your answer below:
Part B)

 B. Use the equation you wrote in part (a) to find x, the length, to the nearest tenth of a foot, of the ladder. Show or explain how you got your answer.

 

Type your answer below:
Part C)

 

A second ladder that is 32 feet in length will be leaned against the same building. The bottom of the second ladder will be placed 7 feet from the base of the building.


C. What is the height, to the nearest tenth of a foot, of the point the top of the second ladder will reach on the building? Show or explain how you got your answer.

Type your answer below:
Part A)

 

The graph below represents y, the height in feet of a ball, x seconds after the ball was thrown upward from a bridge that crosses a river.

 

 

a. What is the y-intercept of the graph? Show or explain how you got your answer.

 

Type your answer below:
Part B)

What does the y-intercept represent in the context of this situation?

 

Type your answer below:
Part C)

After how many seconds did the ball reach its maximum height? Show or explain how you got your answer.

 

Type your answer below:
Part D)

What is the maximum height, in feet, the ball reached? Show or explain how you got your answer.

 

Type your answer below:
Part E)

After how many seconds did the ball reach the surface of the river? Show or explain how you got your answer.

 

Type your answer below: