Free Printable ACT Formulas

1.

The following formula is for the area of :
A=πr²

a)

Square

b)

Cylinder

c)

Circle

d)

Triangular Prism

2.

Area of a square:

a)

A=½bh

b)

A=πr²

c)

A=s²

d)

A=s+s+s+s

3.

Area of a trapezoid:

a)

A=½bh

b)

A=½b₁h

c)

A=½(b₁+b₂)h

d)

A=πd

4.

The following formula is for the area of:
A=½bh

a)

Rectangle

b)

Circle

c)

Triangle

d)

Trapezoid

5.

Circumference of a Circle

a)

C=πr²

b)

C=2πr

c)

C=2π

6.

What formula is this?

a)

midpoint

b)

slope

c)

distance

d)

average

7.

What is the correct slope-intercept form?

a)

y = mx + b

b)

y = mb + x

c)

y = x

d)

y = -mx + b

8.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

9.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

10.

The formula of average is _______

a)

difference of quantities divided by # of items

b)

product of quantities divided by # of items

c)

sum of quantities divided by # of items

d)

None of the above

11.

Which of the following is the probability formula?

a)

The number of possible outcomes /the number of favorable outcomes

b)

The number of nonfavorable outcomes/ total outcomes

c)

The number of outcomes possible.

d)

The number of favorable outcomes / the number of total outcomes

12.

What is the formula for Combination?

a)

n!

b)

n!/(n-r)!

c)

n!/(n-r)!r!

d)

n!/n!(n-r)!

13.

Which formula is below?

Percent x Number = Result

a)

Probability

b)

Odds of Choosing a Number

c)

None of these

d)

Percent of a Given Number

14.

Which formulas could be used to calculate the perimeter of a square?

a)

P = 8s

b)

P = s + s + s + s

c)

P = 2l + 2s

d)

P = 4s

15.

What is Perimeter?

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

16.

What are the two formulas to find the volume of a rectangular prism? (BA is base area)

a)

L x W x H = V

b)

V= L + W + H

c)

V = BA x H

d)

V = BA + H

17.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

18.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

19.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

20.

The side lengths for a 30, 60, 90 triangle correspond to ____.

a)

x, x $\sqrt[]{3}$ , 2x

b)

2x, x, x $\sqrt[]{3}$

c)

x, x $\sqrt[]{2}$ , 3x

d)

x, x, 2x

21.

What formula is this?

a)

Arc length

b)

Sector Area

22.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

23.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

24.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

25.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

26.

Identify the trig function:

$\frac{adj\ }{hyp}$

a)

sec

b)

sin

c)

cot

d)

cos

27.

Identify the trig function:

$\frac{opp}{adj}$

a)

sec

b)

tan

c)

cos

d)

csc

28.

Identify the trig function:

$\frac{opp}{hyp}$

a)

sin

b)

csc

c)

cot

d)

cos

29.

Identify the trig function:

$\frac{hyp}{opp}$

a)

sin

b)

csc

c)

cot

d)

cos

30.

Identify the trig function:

$\frac{hyp}{adj}$

a)

sec

b)

cos

c)

tan

d)

cot

31.

In the figure, all angles are right angles, and the side lengths given are in centimeters. What is the area, in square centimeters, of the figure?

a)

42

b)

75

c)

93

d)

99

e)

117

32.

The following formula is for the area of:
A=½bh

a)

Rectangle

b)

Circle

c)

Triangle

d)

Trapezoid

33.

What is the radius if the diameter is 27?

a)

135

b)

13.5

c)

1.35

d)

I do not know

34.

What do you call the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

35.

Triangle that has two congruent sides

a)

Isosceles Triangle

b)

Scalene Triangle

c)

Acute Triangle

d)

Obtuse Triangle

36.

These two angles are...

a)

linear pair

b)

vertical angles

c)

straight angle

d)

exterior angles

37.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

38.

What id the arc length formula?

a)

$\frac{central\ length}{360^o}=\frac{arc\ length}{circumference}$

b)

$\frac{arc\ length}{360^o}=\frac{central\ angle}{circumference}$

c)

$\frac{arc\ length}{circumference}=\frac{central\ angle}{360^o}$

d)

$\frac{360^o}{arc\ length}=\frac{circumference}{central\ angle}$

39.

What formula is this?

a)

area of a triangle

b)

Surface area of a right cylinder

c)

area of a circle

d)

surface area of a circle

40.

What is the rate formula

a)

d = rt

b)

r = d/t

c)

r = dt

d)

t = r/d

41.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

42.

Area of a Circle

a)

b)

c)

d)

43.

Circumference of a circle

a)

b)

c)

d)

44.

Surface Area of a Cube

a)

b)

c)

d)

45.

Surface Area of a Rectangular Prism

a)

b)

c)

d)

46.

Volume of a Cube

a)

b)

c)

d)

47.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

48.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

ACT Formulas

Total questions: 48

Worksheet time: 1hrs 27mins

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