ISEE Sample Questions

Question 1: Verbal Reasoning Question

What number is missing from the following equation?

FRUGAL





 
Answer & Explanation|

The correct answer is (D) — spartan. Frugal is an adjective that means either "being careful about spending money" or "requiring few resources."

Since it implies restraint, answer (A), exciting, is not a good synonym for it.

Answer (B), intellectual, refers to intellect, which has nothing to do with one's relationship with money.

Answer (C), lavish, is either a verb that means "to give great amounts" or an adjective that means "bountiful." It has the opposite meaning of frugal, so we can eliminate it, too.

Answer (D), spartan, means either "leading a life of self-discipline and chastity" or "a person from ancient Sparta"; but the second definition is irrelevant in this case. The first meaning makes spartan the closest in meaning to frugal, and it is therefore the correct answer.

Question 2: Verbal Reasoning Question

Complete the sentence

By examining the fossil _____ of animals, paleontologists can learn a lot about their appearances, behaviors, and habitats.





 
Answer & Explanation|

The correct answer is (D) — remains.

By examining the fossil remains of animals, paleontologists can learn a lot about their appearances, behaviors, and habitats. Fossils are preserved organic remnants from a previous time, usually imprinted in the ground or in stone. The missing word should fit with "fossil" and describe something that can allow us to learn about animals.

Answer (A), climate, means "the weather of a region" and is unrelated to animals.

Answer (B), era, means "a period of time in history," and since there is not only one era in which animals have died and turned into fossils, this is not the correct answer.

Answer (C), heritage, means "a person's background or tradition" and is not related to animals or fossils. Answer (D), remains, is the only word that forms a logical sentence, and therefore it is the correct answer.

 

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Question 3: Quantitative Reasoning Question

If , which expression is equal to 𝑥?





 
Answer & Explanation|

The correct answer is (C). To solve this problem, isolate the desired variable, 𝑥.

To do so, put every term that contains the variable on one side of the equation and every term that does not contain the variable on the other side: y-10=5x Now, divide both sides of the equation by the coefficient of 𝑥, which is 5: (y-10)/5 = 𝑥 Thus, the value of 𝑥 is (y-10)/5 , and the correct answer is (C).

 

Question 4: Quantitative Reasoning Question

In a large company, there are five sales representatives. In a certain week, their sales are as follows:
$1100, $1105, $1107, $1112, and $1156. What are the average sales per person for that week?





 
Answer & Explanation|

The correct answer is (C). To solve this problem, find the average of the five values given. Note that all values can be represented as $1100 + a two-digit number, thus we can calculate the average for the two-digit numbers, and conclude for the original values.

(When calculating an average, find the sum of the values, and divide the sum by the number of values. If you were to calculate the average with the original values, the result would be 5500 + the sum of the two-digit numbers.

Divide this by 5 - the number of values - and get 1100 + the average of the five two-digit numbers.) Calculate the sum of 00, 05, 07, 12, and 56: 0 + 5 + 7 + 12 + 56 = 80 Divide the sum by 5 (80 ÷ 5 = 16). Add the missing 1100 and conclude that the average sale for that week is $1116, and the correct answer is (C).

 

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Question 5: Mathematics Achievement Question

If (3.75 + 1.25)𝑎 = (11.03 − 1.03)𝑎, what is the value of 𝑎?





 
Answer & Explanation|

The correct answer is A.

In this problem, since 3.75 + 1.25 = 5, the left side of the equation equals 5𝑎.

Since 11.03 − 1.03 = 10, the right side of the equation equals 10𝑎. The result is: 5𝑎 = 10𝑎. Assuming that 𝑎 ≠ 0, divide both sides of the equation by 𝑎, and conclude that 5 = 10, which is a false equation.

Thus, the only case in which 5𝑎 = 10𝑎 is when 𝑎 = 0, and then 5 × 0 = 10 × 0 = 0, and the correct answer is A.

Question 6: Mathematics Achievement Question

A bag contains 30 marbles, colored red, blue, and yellow. For every two red marbles there are 3 blue marbles. There are five yellow marbles. How many blue marbles are there in the bag?





 
Answer & Explanation|

he correct answer is (D). In this problem, find the number of blue marbles, given a certain ratio.

There are five yellow marbles, therefore, there are 30 – 5 = 25 red and blue marbles. You know that for every two red marbles, there are three blue marbles.

Thus, the ratio of red marbles to blue marbles is 2:3, and you can write 2𝑥 + 3𝑥 = 25. 5𝑥 = 25 𝑥 = 5 3𝑥 = 15 One may conclude that there are 15 blue marbles in the bag, and the correct answer is (D).

 

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Question 7: Reading Comprehension Question

Read the paragraph and answer the question.

1 In the Tanzanian village of Liyasongoro, located 1,700 meters up the south slope of Mount

2 Kilimanjaro, Wilbert Minja has lived for more than 60 years, and lately he has been worried.

3 The weather is all wrong, he says: "Rain falls when it should not, and does not come when it should."

4 He recites stories describing how new settlers used to flock to the mountainside, lured by its rich

5 soil and abundant fresh water. Now, he says, they are abandoning their failed homesteads.

6 The mountain streams are running dry, and the dusty ground that was once fertile and full of life has

7 turned barren. When asked about global warming, the old man says he doesn't understand the term.

The paragraph (lines 1–7) implies all of the following EXCEPT-





 
Answer & Explanation|

The correct answer is (C).

This sort of question is best answered by elimination. Answer (A) is incorrect because the paragraph does refer to this in line 5: "they are abandoning their failed homesteads."

Answer (B) is incorrect because the paragraph does refer to this in lines 5–7: "The mountain streams are running dry, and the dusty ground that was once fertile and full of life has turned barren."

Answer (D) is incorrect because the paragraph does refer to this in lines 4–5: "new settlers used to flock to the mountainside, lured by its rich soil and abundant fresh water."

Answer (C) has no support in the passage. The passage does not make a generalization from the specific difficulties in the Kilimanjaro area to all rural mountain villages..

Question 8: Reading Comprehension Question

Read the paragraph and answer the question.

1 In the wild, packs of animals are usually arranged in a strict hierarchy. In most animal

2 species, the young are usually found to be at the lower levels, followed by the females, while the

3 males are highest up. Yet, within the males there are also ranks. For instance, when observing a

4 pride of lions, it promptly becomes clear that one male is feared by all the others.

In line 4, the word "pride" most nearly means-





 
Answer & Explanation|

The correct answer is (B).

Answer (B) is the correct answer because a pack of lions is called a pride. The sentence refers to observing a pack of lions.

Answers (A), (C), and (D) are incorrect because they have other meanings. In addition, they can be eliminated because they do not construct a logical sentence.

 

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