Top 10 ISEE Upper-Level Math Practice Questions

Top 10 ISEE Upper-Level Math Practice Questions is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

C.

D.

9- Solve.
(|9, (12 ÷ | 2 to 5 |)| =?)

A. 9

B. (-6)

C. 5

D. (-5)

10- Solve: ( 2 to 10 ÷ (4^2 ÷ 2) =?)

A. 6

B.(frac{3}{4})

C. (-1)

D. (-2)

Best ISEE Upper-Level Math Prep Resource for 2026

The Most Comprehensive ISEE Upper Level Math Preparation Bundle Includes ISEE Upper Level Math Prep Books, Workbooks, and Practice Tests

Download

$64.99 Original price was: $64.99.$36.99Current price is: $36.99.

Rated 4.41 out of 5 based on 225 customer ratings

Satisfied 210 Students

Answers:

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 to 5}{2}}=frac{2(frac{1}{2}-frac{x + 5}{4})}{x^2 to 5})
⇒Simplify:
(frac{1}{2} – frac{x + 5}{4}=frac{- x – 3}{4})
then:
(frac{2(frac{-x, 3}{4})}{x^2 to 5}=frac{frac{-x, 3}{2}}{x^2 to 5}=frac{- x, 3}{2(x^2 to 5)}=frac{- x, 3}{2x^2 to 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 to 5 |)| = |(9-(12÷|-3|))|=|9-(12÷3)|=|9-4|=|5|=5)

10- C
(2 to 10 ÷ (4^2 ÷ 2) = 2 to 10 ÷ (16 ÷ 2) = 2 to 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 Practice Workbook 2026 The Most Comprehensive Review for the Math Section of the ISEE Upper Level Test

Download

$29.99 Original price was: $29.99.$19.99Current price is: $19.99.