Quiz about ACT Aspire Practice Test

Question 1

What is the area of the shaded region?

Accepted Answer

$$39\ \pi\ cm^2$$

Answer

$$9\ \pi\ cm^2$$

Answer

$$25\ \pi\ cm^2$$

Answer

$$64\ \pi\ cm^2$$

Question 2

A pizza is 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?

Accepted Answer

$$\frac{5}{8}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{3}{8}$$

Question 3

Simplify $$3y^2\left(2x^2y\right)^4$$

Accepted Answer

$$48x^8y^6$$

Answer

$$12x^4y^6$$

Answer

$$12x^8y^6$$

Answer

$$48x^4y^6$$

Question 4

The marked price of a computer is D dollars. 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?

Accepted Answer

0.88 D

Answer

0.80 D

Answer

0.90 D

Answer

1.20 D

Question 5

The area of a circle is $$64\pi.$$

What is the circumference of the circle?

Accepted Answer

$$16\pi$$

Answer

$$8\pi$$

Answer

$$32\pi$$

Answer

$$64\pi$$

Question 6

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?

Accepted Answer

140%

Answer

72%

Answer

120%

Answer

160%

Question 7

What is the median of these numbers? 2, 28, 28, 19, 67, 44, 35

Accepted Answer

28

Answer

19

Answer

44

Answer

35

Question 8

If x = -8, which equation is true?

Accepted Answer

$$8\left(4-x\right)=96$$

Answer

$$x\left(2x-4\right)=120$$

Answer

$$2\left(4x+6\right)=79$$

Answer

$$6x-2=-46$$

Question 9

In a bag of small balls $$\frac{1}{3}$$ are black, $$\frac{1}{6}$$ are white, $$\frac{1}{4}$$ are red and the remaining 12 blue. How many balls are white?

Accepted Answer

8

Answer

12

Answer

16

Answer

24

Question 10

Sophia purchased a sofa for $530.40. The sofa is regularly priced at $624. What was the percent discount Sophia received on the sofa?

Accepted Answer

15%

Answer

12%

Answer

20%

Answer

25%

Question 11

A bag contains 18 balls: two green, five black, eight blue, a brown, a red and one white. If 17 balls are removed from the bag at random, what is the probability that a brown ball has been removed?

Accepted Answer

$$\frac{17}{18}$$

Answer

$$\frac{1}{9}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{16}{17}$$

Question 12

A rope weighs 600 grams per meter of length. What is the weight in kilograms of 12.2 meters of this rope? (1 kilogram = 1,000 grams)

Accepted Answer

7.32

Answer

0.0732

Answer

0.732

Answer

7,320

Question 13

The price of a laptop is decreased by 10% to $360. What is the original price?

Accepted Answer

400

Answer

320

Answer

380

Answer

450

Question 14

Three times the price of a laptop is equal to five times the price of a computer. If the price of a laptop is $200 more than the computer, what is the price of the computer?

Accepted Answer

$300

Answer

$500

Answer

$800

Answer

$1,500

Question 15

Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is running at the speed of 7 miles per hour. How long does it take Joe to catch Jason?

Accepted Answer

6 hours

Answer

3 hours

Answer

4 hours

Answer

8 hours

Question 16

55 students took an exam and 11 of them failed. What percent of the students passed the exam?

Accepted Answer

80%

Answer

20%

Answer

40%

Answer

60%

Question 17

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?

Accepted Answer

$840

Answer

$420

Answer

$4200

Answer

$8400

Question 18

Which of the following points lies on the line 4x+6y=14?

Accepted Answer

(-1,3)

Answer

(2,1)

Answer

(-3,4)

Answer

(2,2)

Question 19

An angle is equal to one fifth of its supplement. What is the measure of that angle?

Accepted Answer

$$30\degree$$

Answer

$$20\degree$$

Answer

$$45\degree$$

Answer

$$60\degree$$

Question 20

John traveled 150 km in 6 hours and Alice traveled 180 km in 4 hours. What is the ratio of the average speed of John to average speed of Alice?

Accepted Answer

5:9

Answer

3:2

Answer

2:3

Answer

5:6

Question 21

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.

Accepted Answer

$23.80

Answer

$17

Answer

$34.00

Answer

$119

Question 22

1.2 is what percent of 24?

Accepted Answer

5

Answer

1.2

Answer

12

Answer

24

Question 23

Joe scored 20/25 in Algebra, 30/40 in Science and 68/80 in mathematics, In which class did he have the best score?

Accepted Answer

Mathematics

Answer

Algebra

Answer

Science

Answer

Algebra and Science

Question 24

What is the volume of the following square pyramid?

Accepted Answer

$$480\ m^3$$

Answer

$$120\ m^3$$

Answer

$$144\ m^3$$

Answer

$$1,440\ m^3$$

Question 25

Robert is preparing to run a marathon. He runs $$7\ \frac{1}{5}$$ miles on Saturday and two times that many on Monday and Wednesday. Robert wants to run a total of 60 miles this week. How many more miles does he need to run?

Accepted Answer

$$38\ \frac{2}{5}$$

Answer

$$38\ \frac{1}{5}$$

Answer

$$38\ \frac{3}{5}$$

Answer

$$38\ \frac{4}{5}$$

Question 26

Which of the following is not a factor of 80?

Accepted Answer

14

Answer

8

Answer

10

Answer

16

Question 27

If Emily left a $12.25 tip on a breakfast that cost $68.65, approximately what percentage was the tip?

Accepted Answer

18%

Answer

16%

Answer

14%

Answer

12%

Question 28

If 150% of a number is 75, then what is 90% of that number?

Accepted Answer

45

Answer

50

Answer

60

Answer

70

Question 29

If $$3y+5<29,\ $$ then $$y$$ could be equal to which of these numbers?

Accepted Answer

2.5

Answer

15

Answer

12

Answer

10.5

Question 30

Sophia purchased a sofa for $530.40. The sofa is regularly priced at $624. What was the percent discount Sophia received on the sofa?

Accepted Answer

15%

Answer

12%

Answer

20%

Answer

25%

Question 31

$$4x^2y^3+5x^3y^5-\left(5x^2y^3-2x^3y^5\right)=$$

Accepted Answer

$$7x^3y^5-x^2y^3$$

Answer

$$-x^2y^3$$

Answer

$$6x^2y^3-x^3y^5$$

Answer

$$7x^2y^3$$

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