Free Printable FORMULAS for the MATH ACT

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.

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

13.

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

14.

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

15.

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

16.

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

17.

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

18.

What is the perimeter of this rectangle?

a)

7cm

b)

10cm

c)

12cm

d)

14cm

19.

What is the perimeter of this equilateral triangle?

a)

4cm

b)

16cm

c)

12cm

d)

8cm

20.

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

a)

4cm

b)

5cm

c)

6cm

d)

7cm

21.

What is the perimeter of this octagon?

a)

3cm

b)

24cm

c)

18cm

d)

9cm

22.

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

a)

30cm

b)

10cm

c)

11cm

d)

5cm

23.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

24.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

25.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

26.

Is this a 45-45-90 triangle?

a)

Yes

b)

No

c)

No clue

27.

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

28.

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

29.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

30.

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

31.

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

32.

Identify the trig function:

$\frac{adj\ }{hyp}$

a)

sec

b)

sin

c)

cot

d)

cos

33.

Identify the trig function:

$\frac{adj}{opp}$

a)

sec

b)

cot

c)

cos

d)

csc

34.

Identify the trig function:

$\frac{hyp}{opp}$

a)

sin

b)

csc

c)

cot

d)

cos

35.

Identify the trig function:

$\frac{hyp}{adj}$

a)

sec

b)

cos

c)

tan

d)

cot

36.

What is the ratio for the sides of a 45^o - 45^o - 90^o?

a)

1 - $\sqrt[]{2}$ - 1

b)

$\sqrt[]{2}$ - 1 - 3

c)

3 - 1 - $\sqrt[]{2}$

d)

1 - 1 - $\sqrt[]{2}$

37.

What formula is this?

a)

midpoint formula

b)

quadratic formula

c)

distance formula

d)

slope formula

38.

For two independent events, state P(A and B)

a)

P(B) $\cdot$ P(A)

b)

P(A)(B)

c)

P(A) $\cdot$ P(B)

d)

P(B)(A)

39.

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

a)

Square

b)

Cylinder

c)

Circle

d)

Triangular Prism

40.

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

a)

Rectangle

b)

Circle

c)

Triangle

d)

Trapezoid

41.

Circumference of a Circle

a)

C=πr²

b)

C=2πr

c)

C=2π

42.

What is the formula for volume of a CYLINDER?

a)

V = πr²

b)

V = πr²h

c)

V = ⅓πr²h

d)

V = ⅓LWH

43.

Equation of a Line

a)

y = mx + b

b)

l = mb + x

c)

y = mb + x

44.

Sine =

a)

sinθ = opposite / adjacent

b)

sinθ = adjacent / hypotenuse

c)

sinθ = opposite ∕ hypotenuse

45.

Cosine

a)

cosθ = adjacent / hypotenuse

b)

cosθ = opposite / hypotenuse

c)

cosθ = hypotenuse / adjacent

46.

Tangent

a)

tanθ = adjacent / opposite

b)

tanθ = opposite / adjacent

c)

tanθ = hypotenuse / opposite

47.

Volume of a Rectangular Prism

a)

V = rh

b)

V = lwh

48.

Volume of a Cube

a)

V = lwh

b)

V = s³

49.

Pythagorean Theorem (Right Angle)

a)

a² + b² = c^{4
(3,4,5)
(6, 8 10)
(5, 12, 13)}

b)

a²+ b² = c^{2
(3,4,5)
(6, 8, 10)
(5, 12, 13)}

50.

Cosecant

a)

cscθ = opposite / hypotenuse

b)

cscθ = hypotenuse / adjacent

c)

cscθ = hypotenuse / opposite

51.

Secant

a)

secθ = adjacent / hypotenuse

b)

secθ = opposite / adjacent

c)

secθ = hypotenuse / adjacent

52.

Cotangent

a)

cotθ = opposite / adjacent

b)

cotθ = opposite / hypotenuse

c)

cotθ = adjacent / opposite

53.

Perimeter of a Square

a)

P = 2 (l + w)

b)

P = 4s

c)

P = 4 (l + w)

d)

P = 2 (l x w)

54.

The distance around an object is called the

a)

area

b)

perimeter

55.

Do you add, subtract, multiply or divide the sides to find perimeter?

a)

add

b)

subtract

c)

multiply

d)

divide

56.

When measuring area, what label do you use?

a)

units

b)

units²

c)

units³

57.

Circumference of a circle

a)

b)

c)

d)

58.

Area of a Circle

a)

b)

c)

d)

59.

Area of a Square

a)

b)

c)

d)

60.

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

a)

b)

c)

d)

61.

What is the formula for area of a triangle?

a)

A = $b\ h$

b)

A = $\frac{1}{2}b\ h$

c)

A = b + h

d)

A = $b\ -\ h$

62.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

A = 2·π·r

c)

A = π·r²

d)

A = 2π·r²

63.

What do you call the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

64.

What is the formula for finding the circumference of a circle?

a)

2πr

b)

2πr²

c)

πr²

d)

2r

65.

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

a)

sine

b)

cosine

c)

tangent

d)

cos^-1

66.

What is the diameter of this circle?

a)

5 in

b)

10 in

c)

31.4 in

d)

78.5 in

67.

What is the formula used to find the volume of a rectangular prism?

a)

V = 2w + 2h + 2L

b)

V = Lwh

c)

V = Lw + Lh + wh

d)

V = 2(Lw + Lh + wh)

68.

What is the formula for tan A?

a)

opp/hyp

b)

opp/adj

c)

adj/hyp

d)

adj/opp

69.

What setups would you use to solve for x?

a)

$14^2\ +\ 20^2\ =\ x^2$

b)

$14^2\ +\ x^2\ =\ 20^2$

c)

sin x = $\frac{14}{20}$

d)

tan x = $\frac{14}{20}$

70.

What name is given to the polygon shown?

a)

Parallelogram

b)

Trapezoid

c)

Rhombus

d)

Quadriangle

71.

Which formula can be used to find the area of a trapezoid?

a)

A\ =

\frac{b_1+b_2}{2}\cdot\ h

b)

$A\ =\ \frac{b_1-b_2}{2}\cdot\ h$

c)

$A\ =\ \frac{1}{2\ }b\ h$

d)

A = b h

72.

What word(s) can help you remember the midpoint formula?

a)

Rise over run

b)

Average

c)

Pythagorean Theorem

d)

Difference

73.

What word(s) can help you remember the slope formula?

a)

Rise over run

b)

Average

c)

Pythagorean Theorem

d)

Difference

74.

When you use the distance formula, which question are you answering?

a)

How far?

b)

How steep?

c)

Where's the middle?

d)

How many squares are inside the figure?

75-78.

Preparing for the MATH ACT Test

When preparing for the MATH ACT test, it is essential to focus on memorizing formulas for various topics such as linear equations, logarithms, volume, right triangles, special right triangles, and the pythagorean theorem. Understanding and being able to apply these formulas will be crucial for success on the test.

Additionally, it is important to practice using a calculator efficiently, as it will be allowed during the test. Being able to perform calculations quickly and accurately can make a significant difference in completing the test within the given time frame, as the MATH ACT test is a timed exam.

Overall, by dedicating time to memorizing formulas, practicing with a calculator, and familiarizing oneself with the format of a timed test, students can feel more confident and prepared to tackle the MATH ACT test and achieve success.

75.

Why is practicing using a calculator efficiently important for preparing for the MATH ACT Test?

a)

It will be allowed during the test

b)

It is not important at all

c)

It is important for other subjects

d)

It is important for improving mental math skills

76.

Why is understanding and applying formulas crucial for success on the MATH ACT test?

a)

To solve complex problems quickly and accurately

b)

To impress the test graders

c)

To show off mathematical skills

d)

To confuse other test takers

77.

Why is dedicating time to memorizing formulas essential for feeling more confident and prepared?

a)

To improve problem-solving skills

b)

To impress teachers and classmates

c)

To avoid studying other topics

d)

To procrastinate on other tasks

78.

Being able to perform calculations quickly and accurately can make a significant difference in completing the test within the given time frame. The MATH ACT Test emphasizes the importance of (a) ?

79.

Which of these is the formula you would use to find the SLOPE of the line that passes through two points?

a)

$\frac{y_2-y_1}{x_2-x_1}$

b)

$\frac{x_2-x_1}{y_2-y_1}$

c)

$\frac{y_2+y_1}{x_2+x_1}$

d)

$\frac{x_2+x_1}{y_2+y_1}$

80.

If you were going to find the distance between these given points, what setup would you use?

(-12, 5) and (8, 2)

a)

$20^2+3^2\ =\ x^2$

b)

$20^2+7^2\ =\ x^2$

c)

(20, 3)

d)

$-4^2\ +\ 7^2\ =\ x^2$

81.

Suppose you have taken five tests and your scores are as follows: 64, 72, 50, 81, and 88

If the teacher says she is going to drop your lowest test score, what is your average? (Round your answer to the nearest whole number.)

a)

71

b)

73

c)

74

d)

76

82.

Which trig ratio is best to use, since the opposite and hypotenuse sides are marked?

a)

sin

b)

cos

c)

tan

d)

Pythagorean Theorem

83.

Find cos A.

a)

$\frac{8}{17}$

b)

$\frac{15}{17}$

c)

$\frac{8}{15}$

d)

$\frac{15}{8}$

FORMULAS for the MATH ACT

Total questions: 80

Worksheet time: 3hrs 45mins

Preparing for the MATH ACT Test

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