Agile Mind Grade 7 – Topic 1.
Exercises
Name: _______________________________________________
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Question #1 At the Santa Cruz skateboard shop, wheels are on sale. The wheels now cost $9.00. The original price was $15.00. What is the ratio of savings to the original price? Write the ratio as a fraction and simplify the fraction. | | | 1/3 | | | | 3/5 | | | | 2/5 | | | | |
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Question #2 | The Geology Club of Gilroy Middle School took a field trip to Nisene Marks State Park to visit the epicenter of the 1989 earthquake. There were 3 adults for every 8 students on the field trip. A total of 44 people went on the field trip. How many adults were on the field trip? | | | 11 | | | | 32 | | | | 12 | | | | |
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Question #3 You are standing 21 feet from a tree. You have a 25-inch stick you are holding 35 inches from your eye. You see that the top of the tree exactly matches the top of the stick you are holding. The bottom of the stick exactly matches the bottom of the tree. How tall is the tree? | | | 14 feet | | | | 46 feet | | | | 15 feet | | | | 17 feet | | | | 7 feet | | | | | | | |
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Question #4 Stefano needed to change the size of one of the signboards describing an artist's work. Using a scale factor, he created a new sign from an existing sign. If the scale factor of the new length to the original length is greater than 1, what statement will not be true about the new sign? | | | The new sign will have larger dimensions than the original sign. | | | | The sign's area will be larger than the original sign. | | | | The sign will be enlarged in size. | | | | The ratio of the dimensions of the new sign will be larger than the ratio of the dimensions of the original sign. | | | | The original sign will have smaller linear dimensions than the new sign. | | | |
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Question #5 | Stefano holds up an 8-inch pencil 32 inches from his eye. The pencil fills the image of a sculpture that is 40 feet away. How tall is the sculpture? | | | 10 feet | | | | 14 feet | | | | 8 feet | | | | 16 feet | | | | 22 feet | | | | |
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Question #7 On a map, the distance from Abilene, Texas to Midland, Texas is 10 cm. The scale shows that 50 actual miles equals 4 cm on the map. What is the distance from Abilene to Midland in actual miles? | | | 61 miles | | | | 200 miles | | | | 125 miles | | | | |
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Question #9 | Dia is making an apple-cranberry fruit juice drink using apples from Pajaro Valley, CA and cranberries from Plymouth, MA. The recipe is calls for 7 parts of apple juice and 4 parts of cranberry juice. Dia puts 12 cups of cranberry juice into a pitcher. How much apple juice does she need to mix into the pitcher? | | | 48 cups | | | | 19 cups | | | | 11 cups | | | | 21 cups | | | | 28 cups | | | | |
| These two figures are made of the same stacked triangle. What scale factor is needed to reduce the side lengths of the larger figure to the side lengths of the smaller figure? | | | 12 | | | | 14 | | | | 2 | | | | | | | |
Name ____________________________________________________________________________
Cereal
Here is some information on the side of two boxes of cereal.
1. How many grams of Tasty Oats cereal will give you 9 grams of protein?
Answer:
Show your work:
2. Which cereal, Tasty Oats or Cornbits, has the higher ratio of protein?
Answer:
Explain how you figured it out:
Mixing paints Wayne is mixing paint.He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint. | | 1. How much red paint does he use?
_____________ quart(s) 2. How much blue paint does he use?
_____________ quart(s) 3. What percentage of the brown paint is made from blue paint?
