**7th Benchmark 3 Study Guide **

**Question 1 . MGSE7.G.2 **

A triangle has 2 angles that each measure 75°. What kind of triangle is it?

**Question 2 . MGSE7.G.2 **

A triangle has one angle that measures 35° and one angle that measures 55°. What kind of triangle is it?

**Question 3 . MGSE7.G.3 **

If the triangular prism shown at the right is sliced by a plane that is parallel to the base, what shape would the resulting cross section be?

**Question 4 . MGSE7.G.3 **

**Question 5 . MGSE.G.4 **

Find the area of the circle. Use 3.14 for pi.

**Question 6 . MGSE7.G.4 **

Find the area of the circle. Use 3.14 for pi

**Use the following table for question 7-8 **

**Sports Diameters **

**Type ** **Diameter **

**Basketball ** **10 inches **
**Baseball ** **4 inches **
**Soccer ball ** **8 inches **

**Question 7 . MGSE7.G.4 **

What is the circumference of the Basketball? Use 3.14 for pi.

**Question 8 . MGSE7.G.4 **

**Question 9 . MGSE7.G.5 **

Find the value of x in the following figure.

**Question 10 . MGSE7.G.5 **

Find the value of x in the following figure.

** **

**Question 11 .MGSE7.G.6 **

Find the surface area of a rectangular prism that has a length of 10 inches, a width of 5 inches, and a height of 2 inches.

**Question 12 . MSG7.G.6 **

**Question 13 . MGSE7.SP.1 **

Jane wants to know what the town’s favorite restaurant is. Give an example of a sampling method that would give valid results?

**Question 14 . MGSE7.SP.1 **

Jonathan conducted a survey of middle school students to determine the most popular sport in the school. Of the 78 people he surveyed, 25 chose football, 20 chose baseball, 18 chose wrestling, and 15 chose tennis.

**Identify the sample size in the situation above. **

**Use the following table of results from a survey to answer questions 15-17. **
**Question 15. MGSE7.SP.2 **

What is the sample size of the survey?

**Question 16 . MGSE7.SP.2 **

What is the probability of someone saying that soccer is their favorite?

**Question 17. MGSE7.SP.2 **

**Question 18. MGSE7.SP.3 **

The box plots below show the number of pages read by a student in two weeks. What is the difference of the medians as a multiple of the interquartile range?

**Question 19 .MGSE7.SP.4 **

The double box plot shows the student test scores for two classrooms. Compare the measure of center and the measure of variation.

**Question 20 .MGSE7.SP.4 **

**Question 21 .MGSE7.SP.5 **

Diane collects postcards from all of the places she visits. She has 12 postcards from Georgia, 10 from California, 18 from Texas, and 4 from Canada. If reaches into a bag and randomly pulls one out how likely is it that she pulls out one from either Georgia or California? How likely that she pulls out one from the United States?

**Question 22 .MGSE7.SP.6 **

Terry spins a spinner that has 5 equal sections numbered 1 through 5. What is the probability that he will spin a number smaller than 6? What about an even number?

**Question 23 .MGSE7.SP.6 **

Will performed an experiment in which he spun a spinner divided into four equal parts. Each part had a different color. The results are shown below.

**Color ** **Times Spun **

red 22

blue 18

green 12

yellow 10

**Question 24 . MGSE7.SP.6 **

John has a spinner that is divided into six equal-sized sections. Each section is a different color. He spun the spinner multiple times, and his results are shown below.

Based on the data, what is the experimental probability that the next time Duke spins the spinner, it will land on blue?

**Question 25 . MGSE7.SP.7a **

For questions 26-27, use the spinner to write each probability as a fraction in simplest form.

**Question 26. MGSE7.SP.7a **

What is the probability of the spinner landing on the letter “A”

**Question 27 . MGSE7.SP.7a **

What is the probability of the spinner landing on a consonant?

**Question 28 . MGSE7.SP.7b **

The letters needed to spell "benchmark" are placed in a bag. B, E, N, C, H, M, A, R, K What is the probability that a "B" will be drawn from the bag?

**Question 29 . MGSE7.SP.8a **

**Question 30 . MGSE7.SP.8a **

In the previous experiment, Johnny had to spin a spinner with equal sections of red, blue, green, and orange then spin another spinner with equal sections numbered 1, 2, 3, 4, and 5. What is the probability of Johnny spinning green and the number 4?

**Question 31. MGSE7.SP.8b **