PSABDWT5 - Grade 10 Mathematics Practice Test 2016

A cube has a volume of 725 cubic centimeters. Which of the following is closest to the length of each edge of the cube? Select one:

Which of the following is equivalent to the expression below?

(3m2 + 4) + (8m2 - 5m) Select one:

The scatterplot below shows the relationship between the grams of fat and the grams of protein in the sandwiches sold at a deli. Based on the line of best fit for the scatterplot, which of the following is closest to the expected number of grams of fat in a deli sandwich that has 10 grams of protein? Select one:

Which values of x and y make the system of equations below true?

2x - y = -1

3x - y = -3 Select one:

Which of the following is equivalent to the expression below?

-3(x - 2) Select one:

A total of 29,183 votes were cast in an election. The winning candidate in the election received 61.3% of the votes. Which of the following is closest to the number of votes received by the winning candidate? Select one:

The sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

The lengths of two sides of a triangle are 8 inches and 13 inches. Which of the following represents x, the possible length in inches of the remaining side of the triangle? Select one:

What is the value of the expression below?

80 ÷ (6 + (3 - 5) • 2) Select one:

The height of right circular cylinder P is twice the height of right circular cylinder Q. The radii of the cylinders are of equal length.

What number times the volume of cylinder Q si equal to the volume of cylinder P? Select one:

Point G is shown on the coordinate grid below. Point H is located in the shaded area of the grid. Which of the following could be the midpoint of ? Select one:

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

3.14(7.9)2 Select one:

Which of the following expression has a value of 0? Select one:

Which of the following is equivalent to the expression below?

25 - 9x2 Select one:

A line passes through the point (5,4) on a coordinate grid, as shown below. Which of the following represents an equation of the line? Select one:

What is the value of the expression below?  Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

A support wire is attached to a tree at a height of 9 feet. The wire is anchored to the ground, as shown in the diagram below. Based on the dimensions in the diagram, what is the length, in feet, of the support wire? Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part A)

Monelle started an arithmetic sequence. The first four terms of her sequence are shown below.

13, 5, 9, 1,...

What is the common difference for Monelle's sequence? Show or explain how you got your answer. Part B)

What is the sixth term of Monelle's sequence? Show or explain how oyu got your answer.

Part C)

Nevin started a geometric sequence. The first four terms of his sequence are shown below.

162, 54, 18, 6,...

What is the sixth term of Nevin's sequence? Show or explain how you got your answer.

Part D)

Write an expression that represents the nth term of Nevin's sequence.

What is one solution of the quadratic equation below?

x2 + 3x - 10 = 0

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

The box and whisker plot shows the distribution of scores for the members of a bowling team. Jimmy's score is in the bottom 25% of the scores, but he does not have the lowest score. Which is one possible value for Jimmy's score? Part A)

The diagram shows the rhombus ABCD with a side length of 8 centimeters. What is the perimeter, in centimeters, of thombus ABCD? Show or explain how you got your answer. Part B)

The measure of ∠ABC is 60°.

What is the length, in centimeters, of diagonal ? Show or explain how you got your answer.

Part C)

What is the length, in centimeters, of diagonal ? Show or explain how you got your answer.

Part D)

What is the area, in square centimeters, of rhombus ABCD? Show or explain how you got your answer.

Part A)

Vivian and William are approximating the values of square roots and cube roots.

Vivian approximated the value of . What is the value of to the nearest whole number? Show or explain how you got your answer. Part B)

William approximated the value of . What is the value of to the nearest whole number? Show or explain how you got your answer.

Part C)

Vivian approximated the value of to be 5.8. William found a closer approximation to the value of than Vivian did.

What could be the approximation that William found? Show or explain how you got your answer.

Part D)

Vivian approximated the value of to be 10.0. William claimed that 10.1 was closer approximation of than Vivian's approximation.

Who's approximation, Vivian's or William's, is closer to the value of ? Explain your reasoning.

Trapezoid RSTU is shown on the coordinate grid below. Trapezoid RSTU will be reflected over the x-axis to create trapezoid R'S'T'U'. What will be the coordinates of point R', the image of point R after the reflection. Select one:

Wyatt owns a food truck. He offers a selection of 8 types of sandwiches and 4 types of tacos.

• He will increase his selection of sandwiches by 1 per month.
• He will increase his selection of tacos by 2 per month.

In how many months will Wyatt offer an equal number of sandwich and taco selections? Select one:

A geometric sequence with its first term missing is shown below.

__, 2, 8, 32, ...

What is the first term in the sequence? Select one:

The core of a baseball is in the shape of a sphere. The diameter of the core is 2.06 centimeters.

Which of the following is closest to the volume of the core? Select one:

The scatterplot below shows the number of pages Tamisha has read each day last week. Based on the scatterplot, what is the median number of pages Tamisha read for the days last week? Select one:

In the diagram below, PQR ≅ STU. Which of the following equations must be true? Select one:

Nancy, Bryan, and Jamie combined their money to purchase a laptop. Together they paid a total of \$490 for the laptop, including tax.

• Nancy paid \$50 more than Bryan paid.
• Bryan paid twice as much as Jamie paid.

How much did Nancy pay? Select one:

Grace wants to estimate the percentage of students at her school that like yogurt. She will survey a random sample of 30 students from the schools population of 500 students.

Which of the following actions would best improve the validity of Grace's estimate? Select one:

The areas of some bodies of water in Massachusetts are shown in the table below. The mean area of the 5 bodies of water is 214 acres. What is the area, in acres, of Kingsbury Pond? Select one:

A flying disc in the shape of a circle has a circumference of inches.

What is the radius of the flying disc? Select one:

Jake measured the dimensions of a rectangular picture frame to the nearest inch. He found that the height was 16 inches and the width was 10 inches.

Based on Jake's measurements, which of the following statements could be true? Select one:

A doctor randomly selected patients from different age groups. He compared the relationship between x, the age in years, and y, the height in inches, for each patient. The scatterplot below shows the doctor's data. Phillip is a 15-year-old patient who has a height of 75.75 inches. Based on the line of best fit for the scatterplot, what is the approximate difference of Phillip's height and the expected height for a 15-year-old patient? Select one:

The diagram below shows ∠GHI inscribed in a circle. The measure of is 80°. What is the measure of ∠GHI? Select one:

Silvia made a scatterplot to compare the mean low temperature, in degrees Fahrenheit, and the latitudes, in degrees north, of some cities during January. She approximated that the line of best fit for the scatterplot has a slope of -1.

Which of the following could be the graph that Sylvia made?

Graph A: Graph B: Graph C: Graph D:  Select one:
Part A)

A construction contractor received two deliveries of building supplies from a lumberyard. The two deliveries included 10 boxes of nails, which cost a total of \$110.

Write and solve an equation to determine, n, the cost in dollars of one box of nails.

The table below shows the number of sheets of plywood, trim boards, and boxes of nails delivered, and the total cost of each delivery.  Part B)

Using your answer from part (a) and the information from the table, create a system of equations that can be used to determine x, the cost in dollars for one sheet of plywood, and y, the cost in dollars of one trim board.

Part C)

Determine the cost in dollars of one sheet of plywood and the cost in dollars of one trim board. Show or explain how you got your answer.

Part D)

The contractor has an additional \$200 to spend/ She tells her assistant to order at least 5 trim boards and as many sheets as possible of plywood with this money.

What is the maximum number of sheets of plywood that the assistant can order following the contractor's instructions? Show or explain how you got your answer.

Members of a gym recorded the number of sit-ups they can do in one minute. The results are shown in the line plot below. Which of the following histograms best represents the data?

Graph 1 Graph 2 Graph 3 Graph 4  Select one:

A right circular cone and its dimensions are shown in the diagram below. Which of the following is closest to the volume of the cone? Select one:

For all positive values of x, what is the multiplicative inverse of the expression below?

2x Select one:

A dog trainer will use 320 feet of fence to create a rectangular training field. The graph below displays the relationship between the length, in feet, of the field and the area, in square feet, of the training field. What is the length of the rectangular training field that has the greatest area? Select one:
Part A)

The table shows the distribution of eye color and hair color for the 60 students in chorus. How many students in the chorus have brown hair? Show or explain how you got your answer. Part B)

What fraction of the students with blond hair have hazel eyes? Show or explain how you got your answer.

Part C)

What percentage of all the students have both green eyes and and red hair? Show or explain how you got your answer.

Part D)

What percentage of all the students have green eyes or red hair? Show or explain how you got your answer.

Part A)

A wooden cube with an edge length of 3 inches is composed of six congruent right square pyramids. The cube and one of the pyramids is shown in the diagram below. What is the volume, in cubic inches, of the entire square? Show or explain how you got your answer. Part B)

What is the volume, in cubic inches, of one of the six pyramids? Show or explain how you got your answer.