Sep 6, 2016

Posted by in Private School Exams

ISEE sample math practice questions and exam info

Prepare for your Math ISEE exam with confidence

ISEE exam study guides

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ISEE has 3 Levels

Upper level

Middle Level

Lower Level

ISEE also has English Section, to master both your English and math section consider reading further by visiting our study guide isee site that we have specifically created for test preparation students in elementary, middle and high school school levels preparing for their private school exam.

Similar Private School Exams

SSAT is similar exam which many private schools also accept.  Consider reviewing exam info for this exam as well by clicking on the icon above, to find out more info about the test and view variety types of practice questions, helping you prepare for this exam and get higher score.

ISEE Math Practice questions for Upper Level exam

isee upper level math sample questions


ISEE upper level math sample questions solutions

Question #1

This question deals with the probability of independent events. Remember this important rule:

If event A is independent of event B, then the probability of event A occurring

AND the probability of event B occurring is P(A) • P(B).

First, find the probabilities of each event occurring:

P(A), the probability that the first roll produces a 2 =  ⅙
P(B), the probability that the second roll does NOT produce a 4 =  ⅚

Then, multiply: P(A) • P(B) = ⅙  • ⅚ = 5/36. Therefore, the answer to question #1 is (C).


Question #2

This question deals with combinations (not permutations). Why combinations instead of permutations? Because order does NOT matter. A group with Girl 1 and Girl 2 is the same as a group with Girl 2 and Girl 1 (ie. order doesn’t matter). For permutations, order does matter.

The formula for combinations is:

nCr = n! / r!(n-r)!

If 5 members of the group go on the field trip and 3 are boys, then the remaining 2 students must be girls. Therefore, we must find the number of combinations of 3 boys (out of the 4 boys in the club) and 2 girls (out of the 4 girls in the club).

Boys: 4C3 = 4! / (3! 1!) = (4 • 3 • 2 • 1)  / (3 • 2 • 1) = 4
Girls: 4C2 = 4! / 2! 2! = (4 • 3 • 2 • 1) / (2 • 1 •  2 • 1) = 3 • 2 = 6

Therefore the total number of combinations will be 4 • 6 = 24. The solution is (D).

Want the rest of the solutions or practice questions for other level exams?  Get access to tons of similar ISEE math practice questions with answers.

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