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 no. of quantities

b)

product of quantities divided by no. of quantities

c)

sum of quantities divided by no. of quantities

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!/r!(n-r)!r!

13.

Which formula is below?

Percent x Number = Result

a)

Percent of the Total

b)

Odds of Choosing a Number

c)

None of these

d)

Percent of a Given Number

14.

Which formula could be used to find the perimeter of a regular pentagon?

a)

P = 2l + 2s

b)

P = 5 x 8

c)

P = 5s

d)

P = 7s

15.

Which formulas could be used to find the perimeter of a rectangle?

a)

P = 2l + 2s

b)

P = 4s

c)

P = l + l + s + s

d)

P = s + s + s + s

16.

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

a)

P = 4s

b)

P = l + l + s + s

c)

P = 2l + 2s

d)

P = 6s

17.

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

18.

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

19.

The Perimeter of any shape can be found by?

a)

Multiplying two sides together

b)

Adding two sides together

c)

There is no universal way to find perimeter

d)

Adding all of the side lengths together

20.

Which formulas could be used to calculate the perimeter of this hexagon?

a)

P = 4s + 2l

b)

P = 6s

c)

P = s + s + s + s + s + s

d)

P = s + s + s + s + l + l

21.

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

a)

P = s + s + t + b

b)

P = 2s + t + b

c)

P = 4s

d)

P = s + s + s + s

22.

Which formulas could be used to calculate the perimeter of an isosceles triangle?

a)

P = 3s

b)

P= s + s + s

c)

P = 2s + l

d)

P = s + s + l

23.

Which formulas could you use to calculate the perimeter of a regular octagon?

a)

P = 8s

b)

P = 4s

c)

P = s + s + s + s + s + s + s + s

d)

P = 2l + 2s

24.

What is the perimeter of this rectangle?

a)

7cm

b)

10cm

c)

12cm

d)

14cm

25.

What is the perimeter of this equilateral triangle?

a)

4cm

b)

16cm

c)

12cm

d)

8cm

26.

If a square has a perimeter of 20cm, what are its side lengths?

a)

4cm

b)

5cm

c)

6cm

d)

7cm

27.

What is the perimeter of this octagon?

a)

3cm

b)

24cm

c)

18cm

d)

9cm

28.

If the perimeter of this shape is 30cm, what is the length of the missing side?

a)

30cm

b)

10cm

c)

11cm

d)

5cm

29.

The Perimeter of any shape can be found by?

a)

Multiplying two sides together

b)

Adding two sides together

c)

There is no universal way to find perimeter

d)

Adding all of the side lengths together

30.

What are the two formulas to find the volume of a rectangular prism?

a)

L x W x H = V

b)

V= L + W + H

c)

V = BA x H

d)

V = BA + H

31.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

32.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

33.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

34.

Is this a 45-45-90 triangle?

a)

Yes

b)

No

c)

No clue

35.

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

36.

What formula is this?

a)

Arc length

b)

Sector Area

37.

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

38.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

39.

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

40.

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

41.

Identify the trig function:

$\frac{adj\ }{hyp}$

a)

sec

b)

sin

c)

cot

d)

cos

42.

Identify the trig function:

$\frac{adj}{opp}$

a)

sec

b)

cot

c)

cos

d)

csc

43.

Identify the trig function:

$\frac{hyp}{opp}$

a)

sin

b)

csc

c)

cot

d)

cos

44.

Identify the trig function:

$\frac{hyp}{adj}$

a)

sec

b)

cos

c)

tan

d)

cot

ACT Formulas

Total questions: 44

Worksheet time: 11hrs 0mins

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