# FREE 4th Grade ACT Aspire Math Practice Test

Welcome to our FREE 4th Grade ACT Aspire Math practice test, with answer key and answer explanations. This practice test’s realistic format and high-quality practice questions can help your student succeed on the 4th Grade ACT Aspire Math test. Not only does the test closely match what students will see on the real ACT Aspire, but it also comes with detailed answer explanations.

For this practice test, we’ve selected 20 real questions from past exams for your student’s ACT Aspire Practice test. Your student will have the chance to try out the most common 4th Grade ACT Aspire Math questions. For every question, there is an in-depth explanation of how to solve the question and how to avoid mistakes next time.

Use our free 4th Grade ACT Aspire Math practice tests and study resources (updated for 2021) to help your students ace the 4th Grade ACT Aspire Math test! Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.

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## 10 Sample **4th Grade ACT Aspire** Math Practice Questions

1- Jamie has 6 quarters, 9 dime, and 11 pennies. How much money does Jamie have?

A. 150 pennies

B. 240 pennies

C. 251 pennies

D. 281 pennies

2- Jeb paid $72 for a magazine subscription. If he is paying $4 for each issue of the magazine, how many issues of the magazine will he receive?

A. 18

B. 20

C. 22

D. 24

3- What is the perimeter of the triangle?

A. 27 inches

B. 31 inches

C. 43 inches

D. 192 inches

4- The figure below shows a diagram of a reading room.

A. 6 ft

B. 12 ft

C. 20 ft

D. 50 ft

5- Which triangle has one obtuse angle?

A.

B.

C.

D.

6- A building is 36 feet high. What is the height of the building in yards?

A. 1 yard

B. 3 yard

C. 12 yard

D. 108 yard

7- The sum of A and B equals 35. If A \(= 16\), which equation can be used to find the value of B?

A. \(B – 16 = 35\)

B. \(B + 16 = 35\)

C. \(A + 16 = 35\)

D. \(A – 16 = 35\)

8- Which number is represented by \(A\)?

\(9 × A = 108\)

A. 9

B. 10

C. 11

D. 12

9- A straight line measures 180\(^\circ\). A straight line and a triangle are touching as shown in the figure below.

What is the value of A in the figure?

A. 64

B. 84

C. 90

D. 96

10- What is the perimeter of this shape?

A. 14

B. 48

C. 18

D. 16

11- The temperature on Sunday at 12:00 PM was 76\(^\circ\)F. Low temperature on the same day was 24\(^\circ\)F cooler. Which temperature is closest to the low temperature on that day?

A. 76\(^\circ\)F

B. 52\(^\circ\)F

C. 51\(^\circ\)F

D. 75\(^\circ\)F

12- The number 47.06 can be expressed as ** __**_______

A. \((4 × 10) + (7 × 1) + (6 × 0.01)\)

B. \((4 × 10) + (7 × 1) + (6 × 0.1)\)

C. \((4 × 1) + (7 × 1) + (0 × 1) + (6 × 1)\)

D. \((4 × 10) + (7 × 1) + (0 × 10) + (6 × 100)\)

13- There are 365 days in a year, and 24 hours in a day. How many hours are in a year?

A. 2190

B. 7440

C. 7679

D. 8760

14- On Saturday Lily was a referee at 3 soccer games. She arrived at the soccer field 15 minutes before the first game. Each game lasted for \(\frac{11}{2}\) hours. There were 5 minutes between each game. Lily left 10 minutes after the last game. How long, in minutes, was Lily at the soccer field?

A. 300 minutes

B. 305 minutes

C. 480 minutes

D. 485 minutes

15- Which shape shows a line of symmetry?

A.

B.

C.

D.

16- Which fraction has the least value?

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

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

C. \(\frac{3}{4}\)

D. \(\frac{9}{16}\)

17- Lisa has 336 pastilles. She wants to put them in boxes of 12 pastilles. How many boxes does he need?

A. 20

B. 22

C. 24

D. 28

18- What is the volume of the cube?

19- To what number is the arrow pointing?

A. 26

B. 28

C. 30

D. 33

20- What mixed number is shown by the shaded rectangles?

A. \(3\frac{1}{2}\)

B. \(4\frac{1}{2}\)

C. 3

D. 4

## Best **4th Grade ACT Aspire** Math Prep Resource for 2021

## Answers:

1- **C**

\(6\) quarters \(= 6 × 25\) pennies \(=150\) pennies

\(9\) dimes \(= 9 ×10 \)pennies \(= 90\) pennies

In total Nicole has 251 pennies

2- **A**

\(1\) issue\(= $4\)

How many issue? \(= $72\)

\($72 ÷ $4= 18\) issue

3-** C**

Use perimeter of triangle formula.

\(P = a + b + c\)

\(P = 12 + 15 + 16 = 43\) inches

4- **C**

Use perimeter of rectangle formula.

\(P = 2(L + W)\)

\(60 = 2(10+W) ⇒ 2W = 40 ⇒ W = 20 \)feet

5- **B**

An obtuse triangle is one with one obtuse angle (greater than 90\(^\circ\)) and two acute angles. Since a triangle’s angles must sum to 180\(^\circ\), no triangle can have more than one obtuse angle.

6- **C**

\(1\) foot \(= 0.333 \)yard

So \(36\) foot \(= 12\) yards \((36 × 0.33)\)

7- **B**

The sum of \(A\) and \(B\) equals \(35: A + B = 35\), if \(A = 16\) we have \(16 +B = 35\)

8- **D**

\(A = 108 ÷ 9 = 12\)

9- **B**

Sum of these three angle are 180\(^\circ\).

\(A^\circ + 80^\circ + 16^\circ = 180^\circ\)

\(A^\circ =180^\circ – 96^\circ = 84^\circ\)

10- **C**

Use perimeter of trapezoid formula.

\(P = a + b + c + d\)

\(P = 2+ 6 + 2+ 8 =18\)

11- **B**

Low temperature is 24\(^\circ\)f cooler than the temperature at 12:00 PM that is 76of, that means low temperature is 52\(^\circ\)f (76\(^\circ\)f \(–\) 24\(^\circ\)f) that is close to choice B

12- **A**

\((4 × 10) + (7 × 1) + (6 × 0.01) = 40 + 7 + 0.06 = 47.06\)

13- **D**

1 year \(=\) 365 days, 1 day \(=\) 24 hours

1 year \(=\) 365 × 24

1 year \(=\) 8,760

14- **B**

Each game = \(\frac{11}{2}\) hours = 90 minutes so 3 games = \(\frac{41}{2}\) hours = 270 minutes

5minutes between each game, so there is 10 minutes in total between 3 games.

She arrives 15 minutes before first game and left 10 minutes after the last game.

In total she was \(270+10+15+10 =305\) minutes at the soccer field.

15- **A**You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry. Here the first shape shows a line of symmetry.

16- **B**

Find the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.

LCD of 2, 8, 4 and 16 is 16. Rewrite the input fractions as equivalent fractions using the LCD:

A. \(\frac{8}{16}\)

B. \(\frac{6}{16}\)

C. \(\frac{12}{16}\)

D. \(\frac{9}{16}\)

So choice B has the least value.

17- **D**

12 pastilles\(=\) 1 box

336 pastilles\(=\) (\(336 ÷12 = 28\)) boxes

18- **64**

Use volume of cube formula:

V\(=a^3\)

V\(=4^3 =64\)

19- **C**

Arrow shows exactly the middle of two numbers 25 and 35, so the answer is 30

20- **A**

This shape shows 3 complete shaded triangles and a half of a triangle that is equal to \(3\frac{1}{2}\)

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