Math Similarity

What is the similarity ratio between the following two similar figures?

Ruby is two years younger than her brother. If Ruby's brother's age is A, which of the following expressions correctly represents Ruby's age?

• A - 2

• A + 2

• 2A

• 2 - A

Tags

CCSS.6.EE.B.6

Aaron wants to plant an orchard of apple trees. Based upon what he has studied, he can expect that 90% of the trees he plants will survive the first year. Of those that survive the first year, he can expect that 95% will survive permanently. If he is going to plant 300 trees this spring and another 500 the following spring, how many trees should he expect to have in his orchard permanently? Instruction: Write your answer (numbers only) in the box below.

Tags

CCSS.HSF.BF.A.2

Jasmine has opened a bank account with an initial deposit of $200. She has also received a debit card to use for her account. Each week she is able to save $10 to deposit in the account. Her account balance (the amount of money in the account) is her initial deposit of $200 plus any deposits she makes minus any purchases she makes using her debit card. Three weeks after Jasmine opened her account, she has made two purchases. She bought a pair of shoes that cost $15.75, and she purchased some music online for a cost of $5.50. Which of the following expressions would correctly represent the amount of money in her account after three weeks:

• $200 + $15.75 + $5.50

• $200 + (-$15.75) + (-$5.50)

• $200 + $15.75 + $5.50 + 3($10)

• $200 + (-$15.75) + (-$5.50) +3($10)

Tags

CCSS.7.NS.A.3

All the 7th graders in Jennifer’s school take art class as well as math class. The variability (range) of students’ grades in art class is about the same as the variability (range) of students’ grades in math class. However, the mean of students’ grades in math class is significantly lower than that in art class. Which of the following tables of students’ grades in each class would represent this situation correctly?

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•  There are 50 test questions on an exam. A student wants to know how many he might miss and still miss no more than 30% of the questions.

• Mike travelled 50 miles in 30 minutes and wants to calculate his speed in MPH.

• Out of 65 students, only 39 of them completed their homework. The teacher wishes to express that as a simplified ratio.

• Three friends want to buy a $5 toy together and need to know how much each of them needs to pay.

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

If Jessie grabs one of the fruits without looking, what is the probability that he will NOT pick a peach?

Tags

CCSS.HSG.SRT.A.2

Quadrilateral KLMN is similar to quadrilateral WXYZ. Which statement about these quadrilaterals must be true?

• Angle NKL is congruent to angle ZWX

• Angle NKL is congruent to angle XYZ

Tags

CCSS.HSG.SRT.A.2

Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true?

• The are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

Tags

CCSS.HSG.SRT.A.2