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## ISEE Mid Level – Example Problems and Solutions

Here are some examples of problems you might see on the mid-level ISEE along with their solutions.

__VERBAL__

In context, the word “hail” (line 9) means nearest

(A) deny

(B) criticize

(C) praise

(D) originating

In this reading comprehension question, the student is asked to identify which answer choice best defines the word in the context of the passage.

In order to answer this question, the student must locate the word in the passage (line 9) and read enough of the passage surrounding the word to gather contextual clues about the meaning of the word. Most of the time, this requires a student to read at least the sentence before and after. For this problem, the relevant sentences are:

Despite the ridicule that various newspapers turned against the women’s movement, Frederick Douglass continued to give it his active support. Indeed, few women’s rights conventions were held during the 1850s at which Douglass was not a guest speaker and whose proceedings were not fully reported in his article. Invariably, the review would be accompanied by editorial commentary

salutingthe meeting and expressing the editor’s hope that it “will have a powerful effect on the minds of the public”. In 1853, when Douglass was considering changing the name of his newspaper, he rejected the proposed title, The Brotherhood, because it “implied the exclusion of the sorority.”

From the context presented in the first, second, and fourth sentences, we learn that Douglass was a champion of women’s rights. In the first sentence, we learn that most newspapers ridiculed the women’s movement, but Douglass’ article “continued to lend [the women’s movement] active support. The second sentence shows us how Douglass supported the women’s rights movement. We also learn that Douglass’ diary reported the proceedings of the meeting. Because we know that Douglass’ journal supports (positive connotation) women’s rights, we can conclude that the editorial commentary of her article would be *praise* (positive connotation) the meeting, which is **answer choice (C)**. Obviously, this would not be to deny or criticize the meetings – both of these words have negative connotations. The answer is not (D) because the origin makes no sense in the context of the sentence.

__MATH__

William prepares a new flower garden for his yard. He designed the garden to have 225 square meters of space and four sides of equal length. If William traveled all the edges of his garden, how many meters would he travel?

William’s garden has four sides of equal length — so we can assume the garden has the shape of a square*. If the garden is a square, then we know that the **region** of the garden is equal to the length of one side of the garden squared.

*A = s*s*

The problem tells us that the garden has an area of 225 square meters. Thereby,

*225 = s*ss = 15*

We now know that one side of William’s garden is 15 meters long. If he once walks through his garden, he has walked the length of the garden **perimeter**. The perimeter of a square is defined as the sum of the lengths of each side.

*P = s + s + s + s = 4sP = 4(15) = 60 yards*

Therefore, William will walk **60 meters.**

*Technically, the information presented in the problem only allows one to assume that the garden is a diamond. Without telling us that all four sides AND all four angles are equal, we technically can’t assume it’s a square. However, without assuming that the garden is a square, the problem cannot be solved!

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