Full-Length 7th Grade ACT Aspire Math Practice Test

Taking a Full-length 7th Grade ACT Aspire Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.
To help you get the best out of this complete and realistic 7th Grade ACT Aspire Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, a pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length 7th Grade ACT Aspire Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck!

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

Time to refine your Math skill with a practice test

Take a REAL 7th Grade ACT Aspire Mathematics test to simulate the test day experience. After you’ve finished, score your test using the answer key.

Before You Start

• You’ll need a pencil, a calculator, and a timer to take the test.
• It’s okay to guess. You won’t lose any points if you’re wrong. So be sure to answer every question.
• After you’ve finished the test, review the answer key to see where you went wrong.
• Calculators are permitted for the 7th Grade ACT Aspire Math Test.
• Use the answer sheet provided to record your answers.
• The 7th Grade ACT Aspire Mathematics test contains a formula sheet, which displays formulas relating to geometric measurement and certain algebra concepts. Formulas are provided to test-takers so that they may focus on the application, rather than the memorization, of formulas.
• For each multiple-choice question, there are five possible answers. Choose which one is best.

Good Luck!

Best 7th Grade ACT Aspire Math Prep Resource for 2022

7th Grade ACT Aspire Math Practice Test

46 questions: 30 multiple choice questions and 16 grid-in questions
Total time for this test: 60 Minutes
You may use a calculator for this test.

1- The score of Emma was one and a half times as that of Ava and the score of Mia was triple that of Ava. If the score of Mia was 90, what is the score of Emma?

A. 25

B. 35

C. 45

D. 55

2- The following trapezoids are similar. What is the value of \(x\)?

A. 2

B. 4

C. 6

D. 8

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

A. 18

B. 110

C. 120

D. 125

4- A boat sails 30 miles south and then 40 miles east. How far is the boat from its start point?

A. 30 miles

B. 40 miles

C. 50 miles

D. 60 miles

5- You can buy 12 cans of green beans at a supermarket for $7.40. How much does it cost to buy 30 cans of green beans?

A. $18.50

B. $24.20

C. $26.00

D. $34.00

6- What is the volume of the following square pyramid?

A. \(460 \space m^3\)

B. \(520 \space m^3\)

C. \(750 \space m^3\)

D. \(960 \space m^3\)

7- In a party, 6 soft drinks are required for every 8 guests. If there are 240 guests, how many soft drinks are required?

A. 38

B. 146

C. 180

D. 200

8- From last year, the price of gasoline has increased from $1.4 per gallon to $1.75 per gallon. The new price is what percent of the original price?

A. \(20\%\)

B. \(25\%\)

C. \(30\%\)

D. \(35\%\)

9- \([8×(-14)+15]-(10)+[4×6]÷3=\) ?

10- Simplify \(5x^2 y(2xy^3)^4=\)

A. \(40x^3 y^{12}\)

B. \(16x^5 y^{24}\)

C. \(40x^6 y^{12}\)

D. \(80x^6 y^{13}\)

11- Jason is 14 miles ahead of Joe running at 6 miles per hour and Joe is running at the speed of 8 miles per hour. How long does it take Joe to catch Jason?

A. 3 hours

B. 5 hours

C. 7 hours

D. 9 hours

12- 9 less than five times a positive integer is 101. What is the integer?

A. 22

B. 36

C. 32

D.  44

13- Last week 18,000 fans. This week 2.5 times as many bought tickets, but one-fifth of them canceled their tickets. How many are attending this week?

A. 20,000

B. 22,000

C. 32,000

D. 36,000

14- What is the median of these numbers? \(25,12,13,18,22,36,22\)

A. 12

B. 20

C. 22

D. 26

15- Sophia purchased a sofa for $615.00. The sofa is regularly priced at $820. What was the percent discount Sophia received on the sofa?

A. \(8\%\)

B. \(12\%\)

C. \(18\%\)

D. \(25\%\)

16- Robert is preparing to run a marathon. He runs \(4 \frac{1}{3}\) miles on Saturday and two times that many on Monday and Wednesday. Robert wants to run a total of 35 miles this week. How many more miles does he need to run?

17- What is the area of the shaded region?

A. \(10π \space cm^2\)

B. \(20π \space cm^2\)

C. \(25π \space cm^2\)

D. \(30π \space cm^2\)

18- Right triangle ABC has two shorter legs of lengths 12 cm (AB) and 5 cm (AC). What is the length of the third side (BC)?

A. 13 cm

B. 14 cm

C. 15 cm

D. 16 cm

19- Four times the price of a laptop is equal to seven times the price of a computer. If the price of the laptop is $240 more than a computer, what is the price of the computer?

A. $320

B. $400

C. $420

D. $960

20- Jason needs an \(75\%\) average in his writing class to pass. On his first 4 exams, he earned scores of \(62\%\), \(73\%\), \(82\%\), and \(88\%\). What is the minimum score Jason can earn on his fifth and final test to pass?

21- The price of a laptop is decreased by \(15\%\) to $425. What is its original price?

A. $475

B. $500

C. $575

D. $600

22- A rope weighs 450 grams per meter in length. What is the weight in kilograms of 12 meters of this rope? (1 kilograms = 1,000 grams)

A. 0.0540 kilograms

B. 0.540 kilograms

C. 5.4 kilograms

D. 54.00 kilograms

23- If \(?=− 3\), which equation is true?

A. \(?(2?−4)=−52\)

B. \(8(7−?)=14\)

C. \(x(3?−2)=79\)

D. \((4?−2)?=42\)

24- Joe scored 24 out of 32 marks in Algebra, 28 out of 40 marks in science, and 72 out of 90 marks in Mathematics. In which subject his percentage of marks is best?

A. Algebra

B. Science

C. Mathematics

D. Algebra and Science

25- The marked price of a computer is ? dollar. Its price decreased by \(25\%\) in January and later increased by \(15\%\) in February. What is the final price percent of the computer in ? dollar?

A. 78.55 ?

B. 82.25 ?

C. 86.25 ?

D. 90.50 ?

26- What is the median of these numbers? \(42,21,15,28,43,34,26\)

A. 15

B. 28

C. 34

D. 42

27- John traveled 210 km in 7 hours and Alice traveled 160 km in 5 hours. What is the ratio of the average speed of John to an average speed of Alice?

A. 13 ∶ 12

B. 22 ∶ 23

C. 15 ∶ 16

D. 15 ∶ 18

28- A $56 shirt now selling for $42 is discounted by what percent?

A. \(15\%\)

B. \(18\%\)

C. \(20\%\)

D. \(25\%\)

29- The area of a circle is 121π. What is the circumference of the circle?

A. 7π

B. 14π

C. 22π

D. 24π

30- In a bag of small balls, \(\frac{1}{2}\) are black, \(\frac{1}{5}\) are white, \(\frac{1}{10}\) are red and the remaining 12 blue. How many balls are white?

A. 8

B. 12

C. 16

D. 24

31- A pizza cut into 10 parts. William and his sister Ella ordered two pizzas. William ate \(\frac{4}{5}\) of his pizza and Ella ate \(\frac{1}{2}\) of her pizza. What part of the two pizzas was left?

A. \(\frac{7}{20}\)

B. \(\frac{2}{10}\)

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

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

32- 50 students took an exam and 14 of them failed. What percent of the students passed the exam?

A. \(20\%\)

B. \(48\%\)

C. \(64\%\)

D. \(72\%\) 

33- 6.2 is what percent of 50?

A. 1.2

B. 5.6

C. 12.4

D. 24.6

34- What is the perimeter of a square that has an area of 196 feet?

35- How many possible outfit combinations come from three shirts, eight slacks, and seven ties?

36- Right triangle ABC has two shorter legs of lengths 8 cm (AB) and 15 cm (AC). What is the length of the third side (BC)?

37- \([6 × (–24) + 12] – (4) + [4 × 5] ÷ 2 = \)?

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

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

40- Last week 24,000 fans attended a football match. This week three times as many bought tickets, but one-sixth of them canceled their tickets. How many are attending this week?

41- The following trapezoids are similar. What is the value of \(x\)?

42- A boat sails 40 miles south and then 30 miles east. How far is the boat from its start point?

43- The score of Emma was half as that of Ava and the score of Mia was twice that of Ava. If the score of Mia was 60, what is the score of Emma?

44- A chemical solution contains \(4\%\) alcohol. If there is 24 ml of alcohol, what is the volume of the solution?

45- What is the median of these numbers? 4, 9, 13, 8, 15, 18, 5

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

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

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