Q: A park district is building an outdoor tennis court based on a scale drawing that measures $$14 \text{ cm} \times 9 \text{ cm}. $$The scale is $$1 \text{ cm} : 5 \text{ m}. $$What are the actual dimensions of the tennis court?

$$70 \text{ m} \times 45 \text{ m}$$

Question 1

A cube-shaped storage box has a side length of 6 cm. What is the surface area of the box? Use the formula $$SA = 6s^2$ where s$ is the side length.

Accepted Answer

$$SA = 216 	ext{ cm}^2$$

Question 2

The dot plot below shows the number of books read during the summer by samples of seventh grade students. What is the range of the data shown in the dot plot?

Accepted Answer

$$11$$

Question 3

Which of the following best describes the shape of the data in the middle school social media accounts dot plot?

Accepted Answer

Most of the data points are less than 2.

Question 4

A regular pentagonal prism has a base area of approximately $$28 	ext{ cm}^2$$ and a height of $$5 	ext{ cm}. $$What is the approximate volume of the prism? Use $$V = Bh.$$

Accepted Answer

$$140 	ext{ cm}^3$$

Question 5

A park district is building an outdoor tennis court based on a scale drawing that measures $$14 	ext{ cm} 	imes 9 	ext{ cm}. $$The scale is $$1 	ext{ cm} : 5 	ext{ m}. $$What are the actual dimensions of the tennis court?

Accepted Answer

$$70 	ext{ m} 	imes 45 	ext{ m}$$

Question 6

A rectangular mold has dimensions $$25 	ext{ cm} 	imes 8 	ext{ cm} 	imes 7 	ext{ cm}. $$What is the total volume of the mold? Use $$V = lwh.$$

Accepted Answer

$$1400 	ext{ cm}^3$$

Question 7

Mr. Khalid has already poured plaster to a height of $$2 	ext{ cm} in $$the mold ($$25 	ext{ cm} 	imes 8 	ext{ cm} 	imes 7 	ext{ cm}). $$How much plaster has he used?

Accepted Answer

$$400 	ext{ cm}^3$$

Question 8

The dot plots below show the high temperatures recorded in Abu Dhabi and Fujairah during May. If the median temperature for Abu Dhabi is $$87^	ext{o}F$$ and for Fujairah is $$85^	ext{o}F$$, what does this tell you about the two cities?

Accepted Answer

Abu Dhabi is generally warmer than Fujairah in May.

Question 9

Safa makes cakes in a pan shaped like a rectangular prism. The base of the pan is $$8 	ext{ in} 	imes 12 	ext{ in}$$, and the volume is $$288 	ext{ in}^3. $$What is the correct height of the pan? Use $$V = lwh.$$

Accepted Answer

$$3 	ext{ in}$$

Question 10

A farmer recorded the number of oranges and apples produced by his trees over one week. If the mean number of oranges is $$8$$ and the mean number of apples is $$6$$, what does this tell you?

Accepted Answer

The orange trees produce more fruit on average than the apple trees.

Question 11

If the spread (range) of the orange production is $$2$$ and the spread of the apple production is $$5$$, which fruit has more consistent production?

Accepted Answer

Oranges, because a smaller range means more consistency.

Question 12

A student calculates the surface area of a rectangular pan using $$SA = Ph + B$$, where $$P is $$the perimeter of the base, $$h is $$the height, and $$B is $$the area of the base. If $$P = 40$$, $$h = 3$$, and $$B = 96$$, what is the correct surface area?

Accepted Answer

$$216$$

Question 13

A cube has a volume of $$216 	ext{ cm}^3. $$What is the length of one side of the cube? Use $$V = s^3$.

Accepted Answer

$$6 	ext{ cm}$$

Question 14

A scale drawing of a park uses a scale of $$1 	ext{ cm} : 5 	ext{ m}. If $$the sports court on the drawing is $$4 	ext{ cm}$$ long, what is the actual length of the sports court?

Accepted Answer

$$20 	ext{ m}$$

Question 15

A pentagonal lantern box has a base area of $$28 	ext{ cm}^2$$ and a height of $$5 	ext{ cm}. If $$the material costs $$0.50$$ per $$1 	ext{ cm}^3$$, what is the total cost to fill the lantern with material? Use $$V = Bh.$$

Accepted Answer

$$7.00$$

Grade 7 Math Final Exam Study Guide – Statistics & Geometry

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