Top 10 7th Grade MEAP Math Practice Questions

B. \(25 π\) cm\(^2\)

C. \(39 π\) cm\(^2\)

D. \(64 π\) cm\(^2\)

2- A pizza cut into 8 parts. William and his sister Ella ordered two pizzas. William ate \(\frac{1}{4}\) of his pizza and Ella ate \(\frac{1}{2}\) of her pizza. What part of the two pizzas was left?

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

B. \(\frac{1}{3}\)

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

D. \(\frac{5}{8}\)

3- Simplify \(6x^2 y^3 (2x^2 y)^3\).

A. \( 12x^4 y^6\)

B. \( 12x^8 y^6\)

C. \( 48x^4 y^6\)

D. \( 48x^8 y^6\)

4- The right triangle ABC has two legs of lengths 6 cm (AB) and 8 cm (AC). What is the length of the third side (BC)?

A. 4 cm

B. 6 cm

C. 8 cm

D. 10 cm

5- 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 dollars?

A. 0.80 D

B. 0.88 D

C. 0.90 D

D. 1.20 D

6- \([6 × (–24) + 8] – (–4) + [4 × 5] ÷ 2 =\)?

A. \(-122\)

B. \(-112\)

C. \(-102\)

D. \(-92\)

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

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A. \(8 π\)

B. \(16 π\)

C. \(32 π\)

D. \(64 π\)

8- A $40 shirt now selling for $28 is discounted by what percent?

A. \(20 \%\)

B. \(30 \%\)

C. \(40 \%\)

D. \(60 \%\)

9- 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. \(160 \%\)

10- If \(40 \%\) of a class are girls, and \(25 \%\) of girls play tennis, what fraction of the class plays tennis?

A. \(10 \%\)

B. \(15 \%\)

C. \(20 \%\)

D. \(40 \%\)

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Answers:

2- D
William ate \(\frac{1}{4}\) of 8 parts of his pizza which means 2 parts out of 8 parts ( \(\frac{1}{4}\) of 8 parts = x ⇒ x = 2) and left 6 parts.
Ella ate \(\frac{1}{2}\) of 8 parts of her pizza which means 4 parts out of 8 parts ( \(\frac{1}{2}\) of 8 parts = x ⇒ x = 4) and left 4 parts.
Therefore, they ate \((4 + 2)\) parts out of\( (8 + 8)\) parts of their pizza and left \((6 + 4)\) parts out of \((8 + 8)\) parts of their pizza that it means: \(\frac{10}{16}\)
After simplification we have: \(\frac{5}{8}\)

3- D
Simplify.
\(6x^2 y^3 (2x^2 y)^3= 6x^2 y^3 (8x^6 y^3 ) = 48x^8 y^6\)

4- D
Use Pythagorean Theorem: \(a^2 + b^2 = c^2\)
\(62 + 82 = c^2 ⇒ 100 = c^2 ⇒ c = 10\)

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

6- A
Use PEMDAS (order of operation):
\([6 × (– 24) + 8] – (– 4) + [4 × 5] ÷ 2 = [– 144 + 8] – (– 4) + [20] ÷ 2 = [– 144 + 8] – (– 4) + 10 =\)
\([– 136] – (– 4) + 10 = [– 136] + 4 + 10 = – 122\)

7- B
Use the formula of areas 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 = \(2πr = 2π (8) = 16 π\)

8- B
Use the formula for Percent of Change
\(\frac{New Value-Old Value}{Old Value}× 100 \%\)
\(\frac{28-40}{40}× 100 \% = – 30 \% \)
(The negative sign here means that the new price is less than the old price).

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

10- A
Let x be the number of students in the class.
\(40 \%\) of x = girls
\(25 \%\) of girls = tennis player
Input \(40\%\) of a class instead of girls in the second formula. Therefore, \(25\%\) of \(40\%\) of a class = tennis player
tennis player = \(10\%\)

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Frequently Asked Questions

What is the M-STEP test?

Michigan Student Test of Educational Progress, the state assessment for grades 3-8 in ELA, math, science, and social studies. Aligned to Michigan Academic Standards (Common Core-aligned).

Which 7th grade math topics are most tested?

Operations with rational numbers, proportional relationships (constant of proportionality, percent applications), two-step equations and inequalities, circumference and area of circles, scale drawings, volume of prisms, probability.

How long is the 7th grade M-STEP math test?

About 90-120 minutes split across two sessions.

Are calculators allowed?

Partially. First session is non-calculator. Later sessions allow the embedded online basic scientific calculator.

What are the performance levels?

Four levels: Not Proficient, Partially Proficient, Proficient, Advanced. Proficient and above indicates grade-level proficiency.

How do I find the constant of proportionality?

Compute k = y/x for any matched pair in a proportional relationship. The equation is y = kx.

Walk through a percent-of-change example.

A shirt going from 40 to 28 has change -12, so percent change = -12/40 = -30%, a 30% decrease.

How do I solve a two-step inequality?

Same as a two-step equation, but flip the inequality if you multiply or divide both sides by a negative number. For -3x + 5 < 11: subtract 5, -3x < 6, divide by -3 AND FLIP: x > -2.

What is the formula for circumference of a circle?

C = 2 pi r (or pi d). With r = 6 and pi = 3.14: C = 2(3.14)(6) = 37.68.

How should we prepare for M-STEP math?

Take one or two full-length practice tests in realistic conditions. Review every miss with the underlying concept named.

Related Lessons You May Like

• How to add and subtract integers
• How to solve proportional ratios
• How to solve percent of change
• How to solve one-step equations
• How to solve multi-step word problems

If you want a workbook for these questions, Mastering Grade 7 Math covers every Grade 7 standard. Mastering Grade 7 Math Word Problems is a strong companion.