# Top 10 7th Grade ACT Aspire Math Practice Questions

The best way to prepare for your 7th Grade ACT Aspire Math test is to work through as many 7th Grade ACT Aspire Math practice questions as possible. Here are the top 10 7th Grade ACT Aspire Math practice questions to help you review the most important 7th Grade ACT Aspire Math concepts. These 7th Grade ACT Aspire 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 2021 7th Grade ACT Aspire guidelines. Answers and full explanations are provided at the end of the post.

Start your 7th Grade ACT Aspire Math test prep journey right now with these sample 7th Grade ACT Aspire Math questions.

**The Absolute Best Book to Ace the 7th Grade ACT Aspire Math Test**

### ACT Aspire Grade 7 Mathematics A Comprehensive Review and Ultimate Guide to the ACT Aspire Math Test

**7th Grade ACT Aspire Math Practice Questions**

1- What is the area of the shaded region?

A. \(9 π\) cm\(^2\)

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- 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?

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 play tennis?

A. \(10 \%\)

B. \(15 \%\)

C. \(20 \%\)

D. \(40 \%\)

**Best 7th Grade ACT Aspire Math Workbook Resource for 2022**

## Answers:

1- **C**

In this case, to find the area of the shaded region, subtract the area of two circles. (S1: the area of big circle. S2: the area of a little circle)

Use the area of a circle formula.

S = \(π\)r\(^2\)

\(S_{1} – S_{2}= π( 5 + 3 cm)^2 – π(5 cm)^2\) ⇒ \(S_{1} – S_{2} = π64 cm^2 – π25 cm^2\) ⇒ \(S_{1} – S_{2} = 39π cm^2\)

2- **D**

William ate \(\frac{1}{4}\) of 8 parts of his pizza that it 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 that it 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

\(\frac{New Value-Old Value}{Old Value}× 100 \%\)

\(\frac{28-40}{40}× 100 \% = – 30 \% \)

(negative sign here means that the new price is less than old price).

9- **C**

The question is this: 1.75 is what percent of 1.25?

Use 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 amount of students in the class.

\(40 \%\) of \(x =\) girls

\(25 \%\) of girls = tennis player

Input \(40\%\) of a class instead of girls in second formula. Therefore, \(25\%\) of \(40\%\) of a class = tennis player

tennis player = \(10\%\)

**Looking for the best resource to help you succeed on the Grade 7 ACT Aspire Math test?**

**The Best Books to Ace the 7th Grade ACT Aspire Math Test**

### Common Core Math Exercise Book for Grade 7 Student Workbook and Two Realistic Common Core Math Tests

## Related to This Article

### More math articles

- The Ultimate MCAS Algebra 1 Course (+FREE Worksheets)
- ISEE Upper Level Math Practice Test Questions
- How to Apply Limit Properties
- The Importance Of Mathematics For Students Pursuing STEM
- Overview of the TASC Mathematics Test
- How to Find Distance and Midpoint of Complex Numbers?
- Top 10 Tips to Create a TASC Math Study Plan
- How to Calculate the Surface Area of Pyramids and Cones
- Can you Teach in California without a Credential?
- Top 10 ISEE Lower Level Prep Books (Our 2023 Favorite Picks)

## What people say about "Top 10 7th Grade ACT Aspire Math Practice Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.