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 2022 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 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 2022
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
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
Related to This Article
More math articles
- Intelligent Math Puzzle – Challenge 93
- Central Limit Theorem and Standard Error
- How to Solve Radical Equations? (+FREE Worksheet!)
- How to Understand Random Sampling and Variation in Samples?
- Best Cheap Laptops for Online Teachers: Top Picks
- How to Find Powers and Roots of Complex Numbers
- Best Graphing Calculators for Business in 2023
- 5th Grade SBAC Math Worksheets: FREE & Printable
- Overview of the SAT Mathematics Test
- Order of Decimals, Mixed Numbers and Fractions
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.