FREE 8th Grade MEAP Math Practice Test

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10 Sample 8th Grade MEAP Math Practice Questions

1- What is the slope of a line that is perpendicular to the line
\(4x-2y=12\)?

A. 2

B. 1

C. \(-2\)

D. \(-\frac{1}{2}\)

2- The diagonal of a rectangle is 10 inches long and the height of the rectangle is 8 inches. What is the perimeter of the rectangle in inches?

3- You can buy 5 cans of green beans at a supermarket for $3.40. How much does it cost to buy 35 cans of green beans?

A. $17

B. $23.80

C. $34.00

D. $119

4- Which of the following is the solution of the following inequality?
\(2x+4>11x-12.5-3.5x\)

A. \(x<3\)

B. \(x>3\)

C. \(x≤4\)

D. \(x≥4\)

5- What is the perimeter of a square that has an area of 595.36 feet?

6- A tree 32 feet tall casts a shadow 12 feet long. Jack is 6 feet tall. How long is Jack’s shadow?

A. 2.25 ft

B. 4 ft

C. 4.25 ft

D. 8 ft

7- The perimeter of the trapezoid below is 54 cm. What is its area?

8- Which graph does not represent \(y\) as a function of \(x\)?

A.

B.

C.

D.

9- Which of the following is equivalent to \(13<-3x-2<22\)?

A. \( -8 < x < -5\)

B. \( 5 < x < 8\)

C. \(\frac{11}{3} < x < \frac{20}{3}\)

D. \(\frac{-20}{3} < x < \frac{-11}{3}\)

10- In a certain bookshelf of a library, there are 35 biology books, 95 history books, and 80 language books. What is the ratio of the number of biology books to the total number of books in this bookshelf?

A. \(\frac{1}{4}\)

B. \(\frac{1}{6}\)

C. \(\frac{2}{7}\)

D. \(\frac{3}{8}\)

11- A bank is offering \(3.5\%\) simple interest on a savings account. If you deposit $12,000, how much interest will you earn in two years?

A. $420

B. $840

C. $4200

D. $8400

12- The area of a circle is \(64 π\). What is the circumference of the circle?

A. \(8 π\)

B. \(16 π\)

C. \(32 π\)

D. \(64 π\)

13- A shirt costing $200 is discounted \(15\%\). After a month, the shirt is discounted another \(15\%\). Which of the following expressions can be used to find the selling price of the shirt?

A. \((200) (0.70)\)

B. \((200) – 200 (0.30)\)

C. \((200) (0.15) – (200) (0.15)\)

D. \((200) (0.85) (0.85)\)

14- Joe scored 20 out of 25 marks in Algebra, 30 out of 40 marks in science and 68 out of 80 marks in mathematics. In which subject his percentage of marks is best?

A. Algebra

B. Science

C. Mathematics

D. Algebra and Science

15- What is the volume of the following triangular prism?

16- The marked price of a computer is D dollar. Its price decreased by \(20\%\) in January and later increased by \(10\%\) in February. What is the final price of the computer in D dollar?

A. 0.80 D

B. 0.88 D

C. 0.90 D

D. 1.20 D

17- Triangle ABC is graphed on a coordinate grid with vertices at A \((–3, –2)\), B \((–1, 4)\) and C \((7, 9)\). Triangle ABC is reflected over\( x\) axes to create triangle A’ B’ C’.
Which order pair represents the coordinate of C’?

A. \((7, 9)\)

B. \((–7, –9)\)

C. \((–7, 9)\)

D. \((7, –9)\)

18-

What’s the maximum ratio of women to men in the four cities?

A. 0.98

B. 0.97

C. 0.96

D. 0.95

19-

What’s the ratio of percentage of men in city A to percentage of women in city C?

A. 0.9

B. 0.95

C. 1

D. 1.05

20-

A container holds 3.5 gallons of water when it is \(\frac{7}{24}\) full. How many gallons of water does the container hold when it’s full?

A. 8

B. 12

C. 16

D. 20

Best 8th Grade MEAP Math Prep Resource for 2026

Answers:

2- 28

Let\( x\) be the width of the rectangle. Use Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
\(x^2 + 8^2 = 10^2 {\Rightarrow} x^2 + 64 = 100 {\Rightarrow} x^2 = 100 – 64 = 36 ⇒ x = 6\)
Perimeter of the rectangle =\( 2 (length + width) = 2 (8 + 6) = 2 (14) = 28\)

3- B
Let \(x\) be the number of cans. Write the proportion and solve for \(x\).
\(\frac{5 \space cans}{$ 3.40}=\frac{35 \space cans}{x}\)
\(x =\frac{3.40×35}{5}⇒x=$23.8\)

4- A
\(2x+4>11x-12.5-3.5x\)→ Combine like terms:
\(2x+4>7.5x-12.5→\) Subtract \(2x\) from both sides: \(4>5.5x-12.5\)
Add 12.5 both sides of the inequality.
\(16.5>5.5x, \)
Divide both sides by 5.5.
\(\frac{16.5}{5}>x→x<3\)

5- 97.6
Area of a square: \(S = a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4\)
Perimeter of a square: \(P = 4a ⇒ P = 4 × 24.4 ⇒ P = 97.6\)

6- A
Write the proportion and solve for the missing number.
\(\frac{32}{12}=\frac{6}{x}→ 32x=6×12=72 \)
\(32x=72→x=\frac{72}{32}=2.25\)

7- 130
The perimeter of the trapezoid is 54 cm.
Therefore, the missing side (high) is \( 54 – 18 – 12 – 14 = 10\)
Area of a trapezoid: \(A = \frac{1}{2} h (b_1 + b_2) = \frac{1}{2} (10) (12 + 14) = 130\)

8- C
A graph represents \(y\) as a function of \(x\) if
\(x_1=x_2→y_1=y_2 \)
In choice C, for each \(x\), we have two different values for \(y\).

9- A
\(13<-3x-2<22\)→ Add 2 to all sides. \(13+2<-3x-2+2<22+2\)
\(→15<-3x<24\)→ Divide all sides by \(- 3\). (Remember that when you divide all sides of an inequality by a negative number, the inequality sign will be swapped. < becomes >)
\(\frac{15}{-3} > \frac{-3x}{3} >\frac{24}{-3} \)
\(-8 < x < -5\)

10- B
Number of biology books: 35
Total number of books; \(35+95+80=210\)
The ratio of the number of biology books to the total number of books is: \(\frac{35}{210}=\frac{1}{6}\)

11- B
Use a simple interest formula:
I=prt
(I = interest, p = principal, r = rate, t = time)
\(I=(12000)(0.035)(2)=840\)

12- B
Use the formula for the area of circles.
Area \(= πr^2 ⇒ 64 π = πr^2 ⇒ 64 = r^2 ⇒ r = 8\)
The radius of the circle is 8. Now, use the circumference formula:
Circumference\( = 2πr = 2π (8) = 16 π\)

13- D
To find the discount, multiply the number by (\(100\% -\) rate of discount).
Therefore, for the first discount we get: \((200) (100\% – 15\%) = (200) (0.85)\)
For the next \(15\%\) discount: \((200) (0.85) (0.85)\)

14- C
Compare each mark:
In Algebra Joe scored 20 out of 25 in Algebra. It means Joe scored \(80\%\) of the total mark.
\(\frac{20}{25}=\frac{x}{100}⇒x= 80%\)
Joe scored 30 out of 40 in science. It means Joe scored \(75\%\) of the total mark.
\(\frac{30}{40}=\frac{x}{100}⇒x= 75%\)
Joe scored 68 out of 80 in mathematics which means \(85\%\) of the total mark.
\(\frac{68}{80}=\frac{x}{100}⇒x= 85%\)
Therefore, his score in mathematics is higher than his other scores.

15- 12
Use the volume of the triangular prism formula.
\(V =\frac{1}{2} (length) (base) (high)\)
\(V = \frac{1}{2} × 4 × 3 × 2 ⇒ V = 12 \space m^3\)

16- B
To find the discount, multiply the price by (\(100\% -\) rate of discount).
Therefore, for the first discount we get: \((D) (100\% – 20\%) = (D) (0.80) = 0.80 D\)
To increase the \(10 \%: (0.80 D) (100\% + 10\%) = (0.85 D) (1.10) = 0.88 D = 88\%\) of \(D\)

17- D
When a point is reflected over \(x\) axes, the \((y)\) coordinate of that point changes to \((-y)\) while its \(x\) coordinate remains the same.
\(C (7, 9) → C’ (7, -9)\)

18- B
Ratio of women to men in city A: \(\frac{570}{600}=0.95\)
Ratio of women to men in city B: \(\frac{291}{300}=0.97 \)
Ratio of women to men in city C: \(\frac{665}{700}=0.95\)
Ratio of women to men in city D: \(\frac{528}{550}=0.96 \)

19- D
Percentage of men in city \(A = \frac{600}{1170}×100=51.28% \)
Percentage of women in city \(C = \frac{665}{1365}×100=48.72% \)
Percentage of men in city \(A\) to percentage of women in city \(C =\frac{51.28}{48.72}=1.05 \)

20- B
let \(x\) be the number of gallons of water the container holds when it is full.
Then;\(\frac{7}{24}x=3.5→x=\frac{24×3.5}{7}=12\)

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Frequently Asked Questions

How many questions are on the PSAT 8/9?

The digital PSAT 8/9 has two sections, Reading and Writing and Math, and each is split into two adaptive modules, so how well your 8th grader does on the first math module sets the difficulty of the second. Scores run from 240 to 1440. Michigan uses the PSAT 8/9 as its 8th grade math test in place of the old MEAP, and the College Board site lists the current question counts and timing.

What math topics are on the PSAT 8/9?

PSAT 8/9 math covers four areas: algebra (linear equations, inequalities and systems), advanced math (early work with nonlinear expressions), problem solving and data analysis (ratios, percents, rates and scatter plots), and geometry and trigonometry (area, volume, right triangles). Most of the test leans on 8th grade skills like slope and the Pythagorean theorem, which are the same skills this practice test covers.

How is the PSAT 8/9 scored?

The PSAT 8/9 total score runs from 240 to 1440, made up of a Math section score and a Reading and Writing section score, each from 120 to 720. There is no penalty for wrong answers, so your 8th grader should answer every question. Score reports also show benchmarks that tell you whether your child is on track for college readiness in math.

Is there a PSAT 8/9 math practice test PDF?

The College Board’s full-length PSAT 8/9 practice tests run in its Bluebook app, which mirrors the real digital test, and printable practice is also available for students who want paper review. Pair those with a printable set of 8th grade questions like the ones here, such as finding the slope perpendicular to 4x − 2y = 12 (the answer is −1/2).

What are good PSAT 8/9 math tips?

Get comfortable with the built-in Desmos graphing calculator, since a calculator is allowed on the whole math section. Answer every question, because wrong answers cost nothing. Spend extra care on the first module, which decides how hard the second one is. For student-produced response questions, practice entering fractions and decimals correctly, for example 3/4 or 0.75.

Related Lessons You May Like

• How to solve multi-step equations
• How to find the slope of a line
• How to graph linear equations
• How to use the Pythagorean Theorem
• How to find the volume of cylinders and spheres

If you want a workbook on this topic, Mastering Grade 8 Math (resource currently unavailable) covers every standard. Pre-Algebra for Beginners covers prerequisites.