FREE ISEE Middle Level Math Practice Test

Interactive ISEE Middle Level Math Practice Test (Timed, Both Sections)

Take our free, full-length ISEE Middle Level Math practice test below — both math sections (Quantitative Reasoning and Mathematics Achievement) in one timed exam, with no calculator and no penalty for wrong answers. You’ll get an estimated scaled score (760–940), a stanine, full step-by-step explanations, and a personalized study plan. Scroll down for more practice and tips.

1- \(12.124 \div 0.002 = \)?

A. \(6.062\)

B. \(60.62\)

C. \(606.2\)

D. \(6{,}062\)

2- If \(10+4(x+5-5x)=30\), what is the value of \(x\)?

A. \(0\)

B. \(1\)

C. \(2\)

D. \(5\)

3- \(15\%\) of \(180\) is \(12\) less than what number?

A. \(15\)

B. \(39\)

C. \(42\)

D. \(45\)

4- What is \(\frac{2}{3}\) of \(90\)?

A. \(30\)

B. \(60\)

C. \(45\)

D. \(135\)

5- Evaluate \(3(\frac{1}{3}-\frac{1}{6})+4\).

A. \(4.5\)

B. \(5\)

C. \(5.5\)

D. \(6\)

6- What is the greatest common factor (GCF) of \(70\) and \(66\)?

A. \(1\)

B. \(2\)

C. \(6\)

D. \(7\)

7- Which of the following is the greatest?

A. \(\frac{1}{2}\)

B. \(65\%\)

C. \(\frac{7}{9}\)

D. \(0.7\)

8- What is the area of the circle shown below? \((\pi=3.14)\)

A. \(157\) cm\(^2\)

B.\(314\) cm\(^2\)

C. \(63\) cm\(^2\)

D. \(126\) cm\(^2\)

9- If \(150%\) of a number is 75, then what is the \(90\%\) of that number?

A. 45

B. 50

C. 70

D. 85

10- What is the missing term in the given numbers?
\( 2, 3, 5, 8, 12, 17, 23, _, 38\)

A. 24

B. 26

C. 28

D. 30

11- From last year, the price of gasoline has increased from $1.25 per gallon to $1.75 per gallon. The new price is what percent of the original price?

A. \(72\%\)

B. \(120\%\)

C. \(140\%\)

D. \(160\%\)

12- 195 minutes = _______?

A. 3.25 Hours

B. 2.16 Hours

C. 2 Hours

D. 0.3 Hours

13- If a gas tank can hold 25 gallons, how many gallons does it contain when it is (\frac{2}{5}) full?

A. 50

B. 125

C. 62.5

D. 10

14- Which of the following is not a prime number?

A. 103

B. 101

C. 97

D. 57

15- What is the perimeter of a square that has an area of 64 square inches?

A. 144

B. 64

C. 32

D. 56

16- Which of the following angles can represent the three angles of an isosceles right triangle?

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A. \(10^\circ, 80^\circ, 90^\circ\)

B. \(50^\circ, 50^\circ, 80^\circ\)

C. \(60^\circ, 60^\circ, 60^\circ\)

D. \(45^\circ, 45^\circ, 90^\circ\)

17- In the following rectangle which statement is true?

A. AB is parallel to BC.

B. The sum of all the angles equals 180°.

C. Length of AB equal to length DC.

D. AB is perpendicular to DC.

18- Solve: \(7^4=\)?

A.\(7+4\)

B. \(7×4\)

C. \(7+7+7+7\)

D. \(7×7×7×7\)

19- A football team had $20,000 to spend on supplies. The team spent $14,000 on new balls. New sports shoes cost $120 each. Which of the following inequalities represent how many new shoes the team can purchase?

A. \( 120x+14,000 ≤20,000 \)

B. \(120x+14,000 ≥20,000\)

C. \(14,000x+120 ≤20,000\)

D. \(14,000x+12,0 ≥20,000\)

20- The red box is \(30\%\) greater than the blue box. If 30 books exist in the red box, how many books exist in the blue box?

A. 9

B. 15

C. 21

D. 30

Best ISEE Middle-Level Mathematics Math Prep Resource for 2026

Answers:

2- A
\(10+4(x+5-5x)=10+4(-4x+5)=30→10-16x+20=30→-16x+30=30→-16x=0→x=0\)

3- B
\(15\%\) of \(180=\frac{15}{100}×180=27\)
Let \(x\) be the number then, \(x = 27 + 12 = 39\)

4-B
\(\frac{2}{3}×90=60\)

5- A
\(3(\frac{1}{3} – \frac{1}{6}) +4=3(\frac{12-1}{6}) +4\)
\(\frac{3}{6}+4=\frac{1}{2}+ 4= \frac{9}{2}=4.5\)

6- B
Prime factorizing of 70=2×5×7\(\)
Prime factorizing of 66=2×3×11\(\)
GCF=2

7- C
\(\frac{1}{2}=0.5\)
\(\frac{7}{9}=0.77\)
\(65\%=0.65\)

8-B
\(Area=πr^2=π×(\frac{20}{2})^2=100π=100×3.14=314\)

9- A
First, find the number.
Let \(x\) be the number. Write the equation and solve for \(x\).
\(150\%\) of a number is 75, then:
\(1.5×x=75 ⇒ x=75÷1.5=50\)
\(90%\) of 50 is:
\(0.9 × 50 = 45\)

10- D
Find the difference of each pair of numbers:
2, 3, 5, 8, 12, 17, 23, _, 38
The difference of 2 and 3 is 1, 3 and 5 is 2, 5 and 8 is 3, 8 and 12 is 4, 12 and 17 is 5, 17 and 23 is 6, 23 and next number should be 7.
The number is \(23 + 7 = 30\)

11- C
The question is this: 1.75 is what percent of 1.25?
Use percent formula:
Part \(= \frac{percent}{100}× \) whole
\(1.75= \frac{percent}{100}× 1.25 ⇒ 1.75 =\frac{percent ×1.25}{100}⇒175 =\) percent \(×1.25 ⇒ percent =\frac{175}{1.25}=140\)

12- A
60 minutes = 1Hours→(\frac{195}{60}) = 3.25 Hours

13- D
\(\frac{2}{5}×25=\frac{50}{5}=10\)

14- D
57 is not prime number, it is divided by 3

15- C
The area of the square is 64 inches. Therefore, the side of the square is the square root of the area.
(\sqrt{64}=8\) inches
Four times the size of the square is the perimeter:
\(4 × 8 = 32\) inches

16- D
\(2α+90^\circ=180^\circ→2α=90→α=45^\circ\)

17- C
In rectangle sides that face to face, each other is equal.

18- D
\(7^4=7×7×7×7\)

19- A
Let \(x\) be the number of shoes the team can purchase. Therefore, the team can purchase \(120 x\).
The team had $20,000 and spent $14000. Now the team can spend on new shoes $6000 at most.
Now, write the inequality:
\(120x+14,000 ≤20,000\)

20- C
Number of books in \(30\%\) of red box \(= \frac{30}{100}×30=9→30-9=21\)

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Recommended EffortlessMath Books

For a workbook your child can use alongside this practice test, the ISEE Middle Level Math for Beginners covers every topic across both math sections with worked examples. For full admissions prep with multiple full-length practice tests, see the ISEE Middle Level Math Test Prep Bundle.

Frequently Asked Questions

How many math sections are on the ISEE Middle Level?

Two: Quantitative Reasoning (37 questions in 35 minutes) and Mathematics Achievement (47 questions in 40 minutes). Together they cover 84 math questions across 75 minutes. Quantitative Reasoning focuses on reasoning and quantitative comparison; Mathematics Achievement tests curriculum-based knowledge.

Is a calculator allowed on the ISEE Middle Level?

No. Calculators are not permitted on any section of the ISEE. Your child should practice arithmetic, fractions, decimals, and basic algebra by hand from day one of prep.

What grades take the ISEE Middle Level?

Students applying for admission to grades 7 or 8. Most are currently in grades 5, 6, or 7. Older students take the Upper Level; younger students take the Lower Level (apply to grades 5-6) or Primary Level (apply to grades 2-4).

Does the ISEE Middle Level penalize guessing?

No. There’s no penalty for wrong answers. Your child should answer every single question, even if some have to be guesses. Mark uncertain ones and circle back if time allows.

How is the ISEE Middle Level scored?

Each section gets a scaled score (760-940) and a stanine (1-9, with 9 being highest). The stanine compares performance against other Middle Level test-takers in the same grade. Schools weigh the stanine heavily because it’s normalized for grade level.

What math topics are on the ISEE Middle Level?

Number sense and operations, fractions and decimals, ratios and percents, basic algebra (one- and two-step equations), geometry basics (area, perimeter, volume, basic angles), and data analysis (mean, median, mode, simple probability, reading charts). Aligned with late grade-5 through grade-7 standards.

How long is the full ISEE Middle Level test?

About 2 hours 40 minutes of testing time. It includes Verbal Reasoning (20 min), Quantitative Reasoning (35 min), Reading Comprehension (35 min), Mathematics Achievement (40 min), and an Essay (30 min), with short breaks between sections.

Can my child retake the ISEE Middle Level?

Yes, but only once per testing season (Fall, Winter, Spring/Summer), capped at 3 attempts per 12-month period. Schools usually see your most recent score, not your highest, so don’t retake casually.

What’s the difference between Quantitative Reasoning and Mathematics Achievement?

Quantitative Reasoning tests math reasoning ability — word problems and quantitative comparisons that emphasize logic over computation. Mathematics Achievement tests curriculum knowledge: arithmetic operations, basic algebra, and geometry topics from grade 5-7 standards. The two together give schools a full picture.

How long should we prepare for the ISEE Middle Level Math?

For most middle schoolers, 6-8 weeks of practice at 25-40 minutes per day is a strong plan. Take a full-length diagnostic in week 1, focus on weak topics for the middle weeks, and finish with timed full-length practice tests in the last 2 weeks.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• ISEE Middle Level Math Formula Cheat Sheet
• Order of operations (PEMDAS)
• How to find the slope of a line
• How to use the Pythagorean theorem
• Rules of exponents