Quiz about 24-25 Geometry Concepts & Connections Post Benchmark (YL)

Question 1

Triangles ABC and DEF are similar. Find the length of segment EF.

Accepted Answer

12 cm

Answer

5 cm

Answer

8.8 cm

Answer

14 cm

Question 2

What is the probability of flipping a quarter 3 times and getting all heads?

Accepted Answer

1/8

Answer

1/2

Answer

3/2

Answer

3/8

Question 3

A rectangular park, with dimensions of 1500 feet by 2000 feet, has a diagonal walking path that goes from the top northeast corner to the bottom southwest corner. How long is the walking path?

Accepted Answer

2500 feet

Answer

2000 feet

Answer

1750 feet

Answer

3000 feet

Question 4

The special at a local pizza place says you can choose any 3 toppings from a list of 5. How many possible combinations are there?

Accepted Answer

10

Answer

8

Answer

12

Answer

15

Question 5

What is $$(3x^4 + 2x^2 - 6)$$ subtracted from $$(4x^4 + 2x^2 - 6)$$ ?

Accepted Answer

$$x^4$$

Answer

$$-x^4$$

Answer

$$x^4 - x^2 - 3$$

Answer

$$7x^4 - x^2 - 9$$

Answer

$$x^4 + 5x^2 - 9$$

Question 6

Tony needs to create a platform shaped like the diagram with the labeled dimensions. How many cubic feet of concrete are required?

Accepted Answer

135 cubic feet

Answer

60 cubic feet

Answer

81 cubic feet

Answer

108 cubic feet

Question 7

Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a heart and then a spade?

Accepted Answer

1/16

Answer

1/26

Answer

1/4

Answer

1/52

Question 8

In a dice game if you roll a 2, 4, or 6 you get the value of the die. If you roll as 1, 3, or 5 you lose $5. What is the expected value of the game?

Accepted Answer

-$0.50

Answer

-$1.00

Answer

$0.50

Answer

$1.00

Question 9

Which basic construction is shown here?

Accepted Answer

construct a parallel line

Answer

bisect a line segment

Answer

construct a perpendicular line

Answer

construct a perpendicular bisector

Question 10

Four rectangles are shown in the diagram. For which dilation is the ratio of the side lengths 1:2?

Accepted Answer

D to C

Answer

D to B

Answer

C to B

Answer

B to A

Question 11

The diagram shown here represents

Accepted Answer

a ling intersecting one point

Answer

two intersecting lines.

Answer

two intersecting planes.

Answer

Two intersection lines

Question 12

Identify the center of the circle whose equation is $$(x - 2)^2 + (y + 8)^2 = 16$$ .

Accepted Answer

(2, -8)

Answer

(-2, -8)

Answer

(-2, 8)

Answer

(2, 8)

Question 13

Fiona interviewed her 30 classmates on whether or not they had a sibling and if they have assigned chores at home. She displayed her results in the two-way table shown. Which category had the highest relative frequency?

Accepted Answer

Have Chores

Answer

Only Child

Answer

Have a Sibling

Answer

Do Not Have Chores

Question 14

How many ways can 12 horses in a race come in 1st, 2nd, and 3rd place?

Accepted Answer

1320

Answer

720

Answer

1560

Answer

990

Question 15

At a County fair there is a spinner game with 12 sectors: 2 red sectors, 2 green sectors, 2 blue sectors, and 6 yellow sectors. If the spinner lands on a red sector, the player wins 2 tokens. If the spinner lands on a green sector, the player wins 2 tokens. If the spinner lands on a blue sector, the player wins 2 tokens. If the spinner lands on a yellow sector, the player loses 3 tokens. Is this game fair for the player and how much will the player win or lose on an average over time? Explain.

Accepted Answer

The expected value is -0.5, and the game is not fair. So the player will lose about 0.5 tokens for a single spin over time.

Answer

County fair games are never fair.

Answer

The expected value is zero, and the game is fair. So the player will break even for a single spin over time.

Answer

The expected values is 1/2, and the game is fair. The player will win about 0.55 tokens on a single spin over time.

Answer

The expected value is 0.5, and the game is not fair. So the player will lose about 0.5 tokens for a single spin over time.

Question 16

Amy, Mark, and Hannah are playing a game with the given spinner. If the spinner lands on red, Amy wins $$1.\ If\ the\ spinner\ lands\ on\ blue,Mark\ wins$$ 2. If the spinner lands on green, Hannah wins $3. Is this a fair game? If not, who has the advantage?

Accepted Answer

It is not a fair game. Mark has the advantage.

Answer

It is a fair game.

Answer

It is not a fair game. Amy has the advantage.

Answer

It is not a fair game. Hannah has the advantage.

Question 17

If the line segment shown is reflected over the x-axis, what will be the new coordinates of point B?

Accepted Answer

(4,-3)

Answer

(-4,3)

Answer

(-3,-4)

Answer

(-3,4)

Question 18

What is the probability that a student has brown hair? (round to nearest hundredth)

Accepted Answer

0.45

Answer

0.42

Answer

0.58

Answer

0.82

Answer

0.90

Question 19

Which operation is NOT closed for polynomials?

Accepted Answer

dividing binomials

Answer

adding binomials

Question 20

Estimate the size of a crowd standing along a 1 mile section of a parade route that is 10 feet deep on both sides of the street. Assume that each person occupies 2.5 square feet.

Accepted Answer

42,240 people

Answer

21,120 people

Answer

84,480 people

Answer

168,960 people

Question 21

What would be the BEST formula to model the volume of an apple?

Accepted Answer

volume of a sphere

Answer

volume of a cone

Answer

volume of a cylinder

Answer

volume of a rectangular prism

Question 22

What is the probability of drawing a queen from a standard deck of 52 cards?

Accepted Answer

1/13

Answer

1/26

Answer

1/52

Answer

1/4

Question 23

Solve for the missing angle

Accepted Answer

36.9

Answer

50

Answer

0.053

Answer

95

Question 24

Add the polynomials: $$(3x^3 + 2x^2 - x) + (x^3 - 4x^2 + 5)$$ .

Accepted Answer

$$4x^3 - 2x^2 - x + 5$$

Answer

$$4x^3 - 2x^2 + 5$$

Answer

$$4x^3 - 2x^2 - x$$

Answer

$$4x^3-2x^2-5x$$

Question 25

Subtract the polynomials: $$(6x^2 + 3x - 8) - (4x^2 - 2x + 5)$$ .

Accepted Answer

$$2x^2 + 5x - 13$$

Answer

$$2x^2 + 5x - 3$$

Answer

$$2x^2 + x - 13$$

Answer

$$2x^2 + x - 3$$

Question 26

Convert to radians 390 degrees

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 27

Which is the correct applied ratio?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 28

What is the correct equation to solve for x?

Accepted Answer

sin (45) = 13/x

Answer

tan (45) = x/13

Answer

cos (45) = x/13

Answer

sin (45) = x/13

Question 29

sin $$\frac{\pi}{2}$$

Accepted Answer

1

Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\frac{1}{2}$$

24-25 Geometry Concepts & Connections Post Benchmark (YL)

42 questions

Triangles ABC and DEF are similar. Find the length of segment EF.

If m∠A = 110 degrees and m∠B = 35 degrees, find m∠1.

What is the probability of flipping a quarter 3 times and getting all heads?

A rectangular park, with dimensions of 1500 feet by 2000 feet, has a diagonal walking path that goes from the top northeast corner to the bottom southwest corner. How long is the walking path?

The special at a local pizza place says you can choose any 3 toppings from a list of 5. How many possible combinations are there?

Tony needs to create a platform shaped like the diagram with the labeled dimensions. How many cubic feet of concrete are required?

Determine the area of the green sector in the circle with a radius of 3 in and a yellow sector of 75°.

Find A ∩ B.

Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a heart and then a spade?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics