# Top 10 8th Grade ACT Aspire Math Practice Questions

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

## 8th Grade ACT Aspire Math Practice Questions

1- A rope weighs $$600$$ grams per meter in length. What is the weight in kilograms of $$12.2$$ meters of this rope? ($$1$$ kilograms $$= 1000$$ grams)

A. $$0.0732$$

B. $$0.732$$

C. $$7.32$$

D. $$7320$$

2- In a school, the ratio of the number of boys to girls is $$3:7$$. If the number of boys is $$180$$, what is the total number of students in the school?__________

3- In two successive years, the population of a town is increased by $$15\%$$ and $$20\%$$. What percent of its population is increased after two years?

A. $$32$$

B. $$35$$

C. $$38$$

D. $$68$$

4- Which graph shows a non–proportional linear relationship between $$x$$ and $$y$$?

A.

B.

C.

D.

5- In the rectangle below if $$y>5$$ $$cm$$ and the area of a rectangle is $$50 cm^2$$ and the perimeter of the rectangle is $$30 cm$$, what is the value of $$x$$ and $$y$$ respectively?

A. $$4, 11$$

B. $$5, 11$$

C. $$5, 10$$

D. $$4, 10$$

6- A football team had $$40,000$$ to spend on supplies. The team spent $$22,000$$ on new balls. New sports shoes cost $$240$$ each. Which of the following inequalities represent how many new shoes the team can purchase.

A. $$240x+22,000 ≤40,000$$

B. $$240x+22,000 ≥40,000$$

C. $$22,000x+240 ≤40,000$$

D. $$22,000x+240 ≥40,000$$

7- 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. $$10 cm$$

8- If $$3x-5=8.5$$, What is the value of $$5x+3$$?

A. $$13$$

B. $$15.5$$

C. $$20.5$$

D. $$25.5$$

9- A bank is offering $$4.5\%$$ simple interest on a savings account. If you deposit $$8,000$$, how much interest will you earn in five years?

A. $$360$$

B. $$720$$

C. $$1800$$

D. $$3600$$

10- In a party, $$10$$ soft drinks are required for every $$12$$ guests. If there are $$252$$ guests, how many soft drinks is required?

A. $$21$$

B. $$105$$

C. $$210$$

D. $$2510$$

## Best 8th Grade ACT Aspire Math Prep Resource for 2022

1- C
The weight of 12.2 meters of this rope is: $$12.2 × 600 g = 7320 g$$
$$1 kg = 1000 g$$
therefore,
$$7320 g ÷ 1000 = 7.32 kg$$

2- 600
The ratio of boys to girls is $$3:7$$.
Therefore, there are $$3$$ boys out of $$10$$ students. To find the answer, first, divide the number of boys by $$3$$, then multiply the result by $$10$$.
$$180 ÷ 3 = 60 ⇒ 60 × 10 = 600$$

3- C
the population is increased by $$15\%$$ and $$20\%$$. $$15\%$$ increase changes the population to $$115\%$$ of the original population.
For the second increase, multiply the result by $$120\%$$.
$$(1.15) × (1.20) = 1.38 = 138\%$$
38 percent of the population is increased after two years.

4- B
A linear equation is a relationship between two variables, $$x$$ and $$y$$, that can be put in the form $$y = mx + b$$.
A non-proportional linear relationship takes on the form $$y=mx + b$$, where $$b ≠ 0$$ and its graph is a line that does not cross through the origin.

5- C
The perimeter of the rectangle is: $$2x+2y=30→x+y=15→x=15-y$$
The area of the rectangle is: $$x×y=50→(15-y)(y)=50→y^2-15y+50=0$$
Solve the quadratic equation by factoring method.
$$(y-5)(y-10)=0→y=5$$
(Unacceptable, because y must be greater than 5) or $$y=10$$
If $$y=10 →x×y=50→x×10=50→x=5$$

6- A
Let $$x$$ be the number of new shoes the team can purchase. Therefore, the team can purchase $$240 x$$.
The team had $$40,000$$ and spent $$22,000$$. Now the team can spend on new shoe $$18,000$$ at most.
Now, write the inequality: $$120x+22.000 ≤40.000$$

7- D
Use Pythagorean Theorem:
$$a^2 + b^2 = c^2$$
$$6^2 + 8^2 = c^2 ⇒ 100 = c^2 ⇒ c = 10$$

8- D
$$3x-5=8.5→3x=8.5 + 5=13.5→x = \frac{13.5}{3}= 4.5$$
Then;
$$5x+3=5 (4.5)+3=22.5+3=25.5$$

9- C
Use simple interest formula:
$$I=prt$$
$$(I = interest, p = principal, r = rate, t = time)$$
$$I=(8000)(0.045)(5)=1800$$

10- C
Let $$x$$ be the number of soft drinks for $$252$$ guests. Write the proportion and solve for $$x$$.
$$\frac{10 soft drinks}{12 guests}=\frac{x}{252 guests}$$
$$x = \frac{252×10}{12}⇒x=210$$

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