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 2026 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 this sample ISEE Upper-Level Math question.
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 2026
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 represents 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
ISEE Upper Level Math Study Guide Step-By-Step Guide to Preparing for the ISEE Upper Level Math Test
Related to This Article
More math articles
- How to Solve Word Problems of Dividing Two-Digit Numbers By One-digit Numbers
- Full-Length 7th Grade GMAS Math Practice Test-Answers and Explanations
- 3rd Grade ILEARN Math Worksheets: FREE & Printable
- 8th Grade FSA Math FREE Sample Practice Questions
- The Ultimate 6th Grade OST Math Course (+FREE Worksheets)
- Best Smartphones for Math Teachers
- Solving the Unsolvable: How to Master Systems of Non-linear Equations with Elimination
- Algebra Puzzle – Challenge 39
- Top 10 Free Websites for STAAR Math Preparation
- Top 10 Tips to Overcome PERT Math Anxiety
What people say about "Top 10 ISEE Upper-Level Math Practice Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.