Did you download the free ISEE Upper Level practice test, “What to Expect on theISEE Upper Level” from the ERB’s website only to realize that there were no answer explanations?

We have solved your problem (no pun intended) by creating video explanations for the the Mathematics Achievement section, which is what most students consider the second most difficult portion of the ISEE. Working with master tutor Stephen Hayes, we’ve created 42 videos to show students step-by-step how to tackle all of the questions.

Below are some excerpted questions and sample videos. For all of the videos, visit our playlist on YouTube.

We also have video answer explanations for the 32 questions in the Quantitative Reasoning section, which is generally what most students consider the most difficult part of the ISEE. Click here to view the Quantitative Reasoning explanations.

**View all of the Mathematics Achievements videos on Youtube **

### Sample Video – Question 2 from the Mathematics Achievement Section from ERB’s “What To Expect on the ISEE Upper Level.”

A jar contains 5 red balls, 6 blue balls, and 8 white balls. If one ball is chosen at random and then returned to the jar, and a second ball is chosen at random, what is the probability that both balls will be red?

(A) 1/5

(B) 5/19

(C) (1/5) x (1/5)

(D) (5/19) x (5/19)

### Sample Video – Question 9 from the Mathematics Achievement Section from ERB’s “What To Expect on the ISEE Upper Level.”

Two machines are used to make the same kind of electronic parts. Machine A makes 2 times the number of defective parts as Machine B. There was a total of 6 defective parts made yesterday by both machines. How many defective parts did Machine B make yesterday?

(A) 2

(B) 4

(C) 6

(D) 12

### Sample Video – Question 10 from the Mathematics Achievement Section from ERB’s “What To Expect on the ISEE Upper Level.”

Lisa has taken three tests so far in her Biology class. Her scores on these tests are 93, 89, and 95. The score on her final exam will be counted twice in her mean. What is the lowest score she can get on her final exam and have a mean score of no less than 93?

(A) 93

(B) 94

(C) 95

(D) 96

### Sample Video – Question 19 from the Mathematics Achievement Section from ERB’s “What To Expect on the ISEE Upper Level.”

Terri is planning a survey to try to determine the average number of hours students at her school spend watching TV. Which sample of students will give her the most reliable information about the students in her school?

(A) her friends

(B) a random sample of all the students in the school

(C) all of the people that show up to watch a football game

(D) a random sample of the students in the library before school

### Sample Video – Question 24 from the Mathematics Achievement Section from ERB’s “What To Expect on the ISEE Upper Level.”

What type of number could NOT result from the difference of two irrational numbers?

(A) integer

(B) rational number

(C) complex number

(D) irrational number

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