Free Printable ACT Group Practice 2025

1.

What does perimeter mean?

a)

the amount of space inside a shape

b)

the distance around the shape

c)

the amount of space inside a shape divided by two

d)

half the distance around a shape

2.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the perimeter of the rectangle?

a)

10 units

b)

15 units

c)

16 units

d)

20 units

3.

What is the perimeter of the rectangle?

a)

56 units

b)

34 units

c)

30 units

d)

12 units

4.

What is the perimeter of this triangle?

(a)

5.

What is the perimeter of this pentagon?

(a)

6.

What does the image show?

a)

a line

b)

a line segment

c)

a ray

d)

a point

7.

A _____ is straight and extends in both directions forever.

a)

point

b)

line

c)

line segment

d)

ray

8.

What is a point?

a)

a straight path

b)

an exact location

c)

endless flat surface

d)

lines that cross

9.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

10.

What is the area of the composite figure?

a)

144 m²

b)

111 m²

c)

45 m²

d)

70 m²

11.

What is the base and the height of the triangle in this composite shape?

a)

base: 8cm

height: 5 cm

b)

base: 5 cm

height: 8 cm

c)

base: 5 cm

height: 5 cm

d)

base: 1 cm

height: 2 cm

12.

What is the area of this shape?

a)

120 cm2

b)

124 cm2

c)

148 cm2

d)

184 cm2

13.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

14.

Find the area of the trapezoid.

a)

36 m

b)

36 m²

c)

72 m

d)

72 m²

15.

Find the composite area.

a)

6.28

b)

24

c)

40

d)

38.28

16.

What is the area of the composite figure?

a)

80 cm²

b)

16 cm²

c)

96 cm²

d)

32 cm²

17.

What is this?

a)

Line

b)

Line Segment

c)

Point

d)

Ray

18.

a)

line

b)

line segment

c)

ray

d)

angle

19.

Is the figure a polygon or not a polygon

a)

Polygon

b)

Not a polygon

20.

Is the figure a polygon or not a polygon

a)

Polygon

b)

Not a polygon

21.

Is the figure below a polygon or not a polygon?

a)

Polygon

b)

Not a polygon

22.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

23.

What is the formula for circumference of a circle?

a)

$2\pi d$

b)

$2\pi r$

c)

$\pi r^2$

d)

$\frac{4}{3}\pi r^3$

24.

What is the formula for area of a circle?

a)

$\pi d$

b)

$2\pi r$

c)

$\pi r^2$

d)

$\frac{4}{3}\pi r^3$

25.

What is the formula for area of a trapezoid?

a)

$\frac{1}{2}h\left(b_1+b_2\right)$

b)

$bh$

c)

$\frac{1}{2}bh$

d)

$2h\left(b_1+b_2\right)$

26.

The Summerdale Community Council is planning the renovation of a park in the center of the town. The park will be a rectangular region of 85 feet by 175 feet with an area of 14,875 square feet. There will be a wooden fence along the perimeter of the park. What is the total length of the fence, in feet?

a)

250

b)

340

c)

410

d)

480

e)

520

27.

The length of a rectangle is 8 inches longer than its width. If the perimeter of the rectangle is 36 inches, what is the width, in inches?

a)

13

b)

10

c)

5

d)

4

e)

3

28.

Joseph is constructing a rectangular fence for his garden. A diagram of the fence is shown. Which of the following expressions gives the perimeter of Joseph's fence?

a)

3x + 5

b)

3x + 10

c)

6x + 10

d)

6x + 20

e)

2x squared + 11x - 6

29.

What is the perimeter of the hexagon?

a)

9

b)

12

c)

18

d)

3

30.

In the figure below, both circles are centered around X. The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?

a)

12π

b)

16π

c)

32π

d)

36π

e)

40π

31.

Which of the following expressions represents the circumference of a circle with a radius of x?

a)

2x

b)

πx

c)

2πx

d)

4πx

e)

4x

32.

The circles in the following figure are centered at point O. In square centimeters, what is the area of the shaded region?

a)

15π

b)

21π

c)

32π

d)

35π

e)

60π

33.

The area of a circle is 8π square units. What is the radius of the circle?

a)

2√2

b)

4

c)

4√2

d)

8

e)

12

34.

A chord 32 centimeters long is 6 centimeters from the center of a circle, as shown below. What is the radius of the circle, to the nearest tenth of a centimeter?

a)

5.3

b)

13.9

c)

17.1

d)

26.0

e)

38.0

35.

Which of the following expresses the number of miles a runner must travel in a 4-lap race where the course is a circle of radius (m) miles?

a)

4m

b)

4πm

c)

4πm²

d)

8πm

e)

16πm

36.

Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog’s collar, the dog could reach 9 feet from the stake in any direction. Using 3.14 for π, what is the approximate area of the lawn, in square feet, the dog could reach from the stake?

a)

28

b)

57

c)

113

d)

254

e)

283

37.

A square is circumscribed about a circle of 7-foot radius, as shown below. What is the area of the square, in square feet?

a)

49

b)

56

c)

98

d)

49π

e)

196

38.

What is the definition of "median"?

a)

the average of a set of data

b)

the number that appears the most in a set of data

c)

the number in the middle of a set of data

d)

the difference between the greatest and smallest value in a set of data

39.

What is the mode in this set of numbers:
7, 14, 20, 3, 7, 14, 2, 14, 7

a)

7

b)

20

c)

7 & 14

d)

none of the above

40.

Sydney earned 91, 93, 93, 94, and 96 points on the 5 essays - each out of a total of 100 points - given so far this semester. How many points must she earn on her sixth essay, which is also out of 100 points, to average 90 points for the six essays assigned this semester?

a)

73

b)

80

c)

86

d)

90

e)

93

41.

To determine a student's overall homework score for the semester, Mr. Daley drops the 2 lowest homework scores and takes the average of the remaining homework scores. Payton earned the following homework scores this semester: 85, 56, 67, 90, 95, 86, 0, 83, 100, and 88. What is the overall homework score that Payton earned in Mr. Daley's class this semester? Round your answer to the nearest tenth of a point.

a)

69.4

b)

77.1

c)

86.8

d)

88.0

e)

99.1

42.

The stem and leaf plot shows the number of points a basketball player with the New Orleans Krewe scored in each of his 15 games. (hint: 20 points would have a stem value of 2 and a leaf value of 0) Which of the following is closest to the mean number of points the player scored per game?

a)

4.7

b)

15.0

c)

15.8

d)

20.0

e)

20.7

43.

George was absent for the last accounting test. For those who took the test, the mean was 75.8, the median was 74, and the mode was 81. When George took the test later, his score was different from all the other students' scores, and the class mean went up to exactly 76.6. What effect, if any, did George's score have on the class mode?

a)

None, the mode stayed the same.

b)

It decreased the mode exactly 0.8 points.

c)

It increased the mode exactly 0.8 points.

d)

It increased the mode more than 0.8 points.

e)

The effect of George's score on the mode cannot be determined from the given information.

44.

George was absent for the last accounting test. For those who took the test, the mean was 75.8, the median was 74, and the mode was 81. When George took the test later, his score was different from all the other students' scores, and the class mean went up to exactly 76.6. What effect, if any, did George's score have on the class mode?

a)

None, the mode stayed the same.

b)

It decreased the mode exactly 0.8 points.

c)

It increased the mode exactly 0.8 points.

d)

It increased the mode more than 0.8 points.

e)

The effect of George's score on the mode cannot be determined from the given information.

45.

George was absent for the last accounting test. For those who took the test, the mean was 75.8, the median was 74, and the mode was 81. When George took the test later, his score was different from all the other students' scores, and the class mean went up to exactly 76.6. What effect, if any, did George's score have on the class mode?

a)

None, the mode stayed the same.

b)

It decreased the mode exactly 0.8 points.

c)

It increased the mode exactly 0.8 points.

d)

It increased the mode more than 0.8 points.

e)

The effect of George's score on the mode cannot be determined from the given information.

ACT Group Practice 2025

Total questions: 45

Worksheet time: 2hrs 35mins

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