Top 10 ISEE Upper-Level Math Practice Questions

Top 10 ISEE Upper-Level Math Practice Questions

The best way to prepare for your ISEE Upper-Level Math test is to work through as many ISEE Upper-Level Math practice questions as possible. Here are the top 10 ISEE Upper-Level Math practice questions to help you review the most important ISEE Upper-Level Math concepts. These ISEE Upper-Level Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2020 ISEE Upper-Level guidelines. Answers and full explanations are provided at the end of the post.

Start your ISEE Upper Level Math test prep journey right now with these sample ISEE Upper Level Math questions.

The Absolute Best Book to Ace the ISEE Upper Level Math Test

ISEE Upper Level Math Practice Questions

1- \(\frac{7}{25}\) is equals to:

☐A. 0.3

☐B. 2.8

☐C. 0.03

☐D. 0.28

2- The sum of 8 numbers is greater than 240 and less than 320. Which of the following could be the average (arithmetic mean) of the numbers?

☐A. 30

☐B. 35

☐C. 40

☐D. 45

3- If \((4.2 + 4.3 + 4.5) x = x\), then what is the value of \(x\)?

☐A. 0

☐B. \(\frac{1}{10}\)

☐C. 1

☐D. 10

4- Two dice are thrown simultaneously, what is the probability of getting a sum of 9 or 12?

☐A. \(\frac{1}{3}\)

☐B. \(\frac{1}{4}\)

☐C. \(\frac{1}{6}\)

☐D. \(\frac{1}{12}\)

5- Simplify :
\(\frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2}{2}-\frac{5}{2}}\)

☐A. \(\frac{3 -x }{x^2 – 10}\)

☐B. \(\frac{3 -x }{2x^2 – 10}\)

☐C. \(\frac{-3 -x }{2x^2 – 10}\)

☐D. \(\frac{3 +x }{x^2 – 10}\)

6- Find all values of x for which \(4 x^2 + 14 x + 6 = 0\)

☐A. \( -\frac{3}{2}, -\frac{1}{2}\)

☐B. \( -\frac{1}{2}, -3\)

☐C. \( -2, -\frac{1}{3}\)

☐D. \( -\frac{2}{3}, \frac{1}{2}\)

7- \((x + 7) (x + 5)\) = ?

☐A. \(x^2 + 12x + 12\)

☐B. \(2x + 12x + 12\)

☐C. \(x^2 + 35x + 12\)

☐D.\(x^2 + 12x + 35\)

8- Which of the following graphs represents the compound inequality \(-2 ≤2x – 4 <8\)?

☐A.

☐B.

☐C.

☐D.

9- Solve.
\(|9 – (12 ÷ | 2 – 5 |)| = ?\)

☐A. 9

☐B. \(-6\)

☐C. 5

☐D. \(-5\)

10- Solve: \( 2 – 10 ÷ (4^2 ÷ 2) = ?\)

☐A. 6

☐B.\(\frac{3}{4}\)

☐C. \(-1\)

☐D. \(-2\)

Best ISEE Upper Level Math Prep Resource for 2020

Answers:

1- D
\(\frac{7}{25} = 0.28\)

2- B
\(\frac{240}{8} < x < \frac{320}{8}\)
\(30 < x < 40\)
Then:
Only choice b is correct

3- A
\((4.2 + 4.3 + 4.5) x = x\)
\(13x = x\)
Then \(x = 0\)

4- D
For sum of 6: (1 & 5) and (5 & 1), (2 & 4) and (4 & 2), (3 & 3), therefore we have 5 options.
For sum of 9: (3 & 6) and (6 & 3), (4 & 5) and (5 & 4), we have 4 options.
To get a sum of 6 or 9 for two dice: \(5 + 4 = 9\)
Since, we have \(6 × 6 = 36\) total number of options, the probability of getting a sum of 6 and 9 is 9 out of 36 or \(\frac{9}{36}=\frac{1}{4}\).

5- C
Simplify:
\(\frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2}{2}-\frac{5}{2}}=\frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2 – 5}{2}}=\frac{2(\frac{1}{2}-\frac{x + 5}{4})}{x^2 – 5}\)
⇒Simplify:
\(\frac{1}{2} – \frac{x + 5}{4}=\frac{- x – 3}{4}\)
then:
\(\frac{2(\frac{-x – 3}{4})}{x^2 – 5}=\frac{\frac{-x – 3}{2}}{x^2 – 5}=\frac{- x – 3}{2(x^2 – 5)}=\frac{- x – 3}{2x^2 – 10}\)

6- B
\(x_{1,2} =\frac{-b ± \sqrt{b^2-4ac}}{2a}\)
\(ax^2 + bx + c = 0\)
\(4x^2 + 14x + 6 = 0\)
⇒ then: \(a = 4, b = 14\) and \(c = 6\)
\(x = \frac{-14 + \sqrt {14^2 – 4 .4 .6}}{2 .4} = – \frac{1}{2}\)
\(x = \frac{-14 – \sqrt {14^2 – 4 .4 .6}}{2.4}= – 3\)

7- D
Use FOIL (First, Out, In, Last) method.
\((x + 7)(x + 5) = x^2 + 5x + 7x + 35 = x^2 + 12x + 3\)

8- D
Solve for \(x\).
\(-2≤2x-4<8\)⇒ (add 4 all sides) \(-2+4≤2x-4+4<8+4\)
⇒ \( 2≤2x<12\)
⇒ (divide all sides by 2) \(1 ≤ x < 6\)
\(x\) is between 1 and 6. Choice D represent this inequality.

9- A
\(|9 – (12 ÷ | 2 – 5 |)| = |(9-(12÷|-3|))|=|9-(12÷3)|=|9-4|=|5|=5\)

10- C
\(2 – 10 ÷ (4^2 ÷ 2) = 2 – 10 ÷ (16 ÷ 2) = 2 – 10 ÷ (8) = – 8 ÷ 8 = \ – 1\)

Looking for the best resource to help you succeed on the ISEE Upper Level Math test?

The Best Books to Ace the ISEE Upper Level Math Test

Related to "Top 10 ISEE Upper-Level Math Practice Questions"

FREE ISEE Middle Level Math Practice Test
FREE ISEE Middle Level Math Practice Test
FREE ISEE Upper Level Math Practice Test
FREE ISEE Upper Level Math Practice Test
ISEE Upper Level Math FREE Sample Practice Questions
ISEE Upper Level Math FREE Sample Practice Questions
ISEE Upper Level Math Practice Test Questions
ISEE Upper Level Math Practice Test Questions
ISEE Upper-Level Math Formulas
ISEE Upper-Level Math Formulas
How to prepare for ISEE Upper Level Math Test
How to prepare for ISEE Upper Level Math Test
ISEE Upper-Level Math Worksheets
ISEE Upper-Level Math Worksheets
The Ultimate ISEE Upper Level Math Course
The Ultimate ISEE Upper Level Math Course

Leave a Reply

Your email address will not be published. Required fields are marked *

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…