ACT Math

ACT Math Intro

AKM

Is that Hard?

Not Really

• 60 Minutes

• 60 Question

• 5 Answer Choices

• Easy to Difficult

• Formula NOT given

​It is designed to trick you.

Integrating essential Skills(25)

Modelling (15)

Number
Algebra
Function
Geometry
Statistics and Probability

Preparing for Higher Math (35)

Categories

​35

​25

​15

Pre-Algebra: 20–25%;
Elementary Algebra: 15–20%;

Intermediate Algebra: 15–20%; Coordinate Geometry: 15–20%;

Plane Geometry: 20–25%; Trigonometry: 5–10%

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Contents
Covered

Tips for ACT Math

• If you use a calculator, use it wisely

• Make sure you answer the question

• Make sure your answer is reasonable.

Types of Questions

• Easy Questions

• Word Problems

• Tricky Questions

• Questions with same information

• Challenging Questions

Easy Example is Coming
Ready???

Multiple Choice

What is 4% of 1,100?

• 4

• 4.4

• 40

• 44

• 440

Multiple Choice

For all x, (x+4)(x-5)=?

• $$2x-1$$

• $$x^2-x-20$$

• $$x^2-20$$

• $$2x^2-1$$

• $$2x^2-x+20$$

Multiple Choice

If $$x+y=1\ ,\ x-y=1$$ , then y=?

• -1

• 2

• 1/2

• 1

• 0

Multiple Choice

What is the slope of the line containing the points (-2,7) and (3,-3)?

• 4

• 1/4

• 0

• -0.5

• -2

Multiple Choice

If the measure of an angle is $$37\frac{1}{2}\degree$$ , what is the measure of its supplement, show in the figure?

• $$52\frac{1}{2}\degree$$

• $$67\frac{1}{2}\degree$$

• $$127\frac{1}{2}\degree$$

• $$142\frac{1}{2}\degree$$

• cannot be determined from the given information

Multiple Choice

What is the sine of $$\angle A$$ in the triangle?

• 0.30

• 0.50

• 0.60

• 0.75

• 0.80

Strategies for ACT Math

• Pace Yourself

• Answer All Questions

• Answer All the Easy Questions First, Then Go Back to Answer the Hard Ones

• Look for Information in the Answer Choices

• Use Illustrations Wisely and Whenever You Can

• Show Your Work

• Check Your Answers

Strategies for ACT Math

• Personal Order of Difficulty (POOD)

  Now,

  Later,

  Never (Letter of the Day (LOTD)) No Penalty Mark

• Process of Elimination (POE)

Three Things to Tackle

• Time Management Problems

• Overthinking Problems

• Careless Mistakes

I have the tools—I just need to put the right ones to use.


Let me FIGURE IT OUT.

I should WRITE IT ALL OUT SO I CAN MAKE CONNECTIONS.

There are REALLY TOUGH MATH CONCEPTS on the ACT that I’ve never learned.

I don’t KNOW how to do it.

I should save time by DOING THINGS IN MY HEAD.

Good Belief Bad Belief

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Here comes the basic
Word Problems

Multiple Choice

What is the total cost of 2.5 pounds of bananas at $0.34 per pound and 2.5 pounds of tomatoes at 0.66 per pound?

• $ 1.00

• $ 2.40

• $ 2.50

• $ 3.50

• $ 5.00

Multiple Choice

The relationship between temperature expressed in degrees Fahrenheit (F) and degrees Celsius (C) is given by the formula
$$F\ =\ \frac{9}{5}C\ +32$$
If the temperature is 14 degrees Fahrenheit, what is it in degrees Celsius?

• -10

• -12

• -14

• -16

• -18

Multiple Choice

Amy drove the 200 miles to New Orleans at an average speed 10 miles per hour faster than her usual average speed. If she completed the trip in 1 hour less than usual, what is her usual driving speed, in mph?

• 20

• 30

• 40

• 50
• 60

Multiple Choice

A map is laid out in the standard (x,y) coordinate plane. How long, in units, is an airplane's path on the map as the airplane flies along a straight line from City A located at (20,14) to City B located at (5,10)?

• $$\sqrt[]{1,201}$$

• $$\sqrt[]{241}$$

• $$\sqrt[]{209}$$

• 7

• $$\sqrt[]{19}$$

Multiple Choice

A person 2 meters tall casts a shadow 3 meters long. At the same time, a telephone pole casts a shadow 12 meters long. How many meters tall is the pole?

• 4

• 6

• 8

• 11

• 18

Multiple Choice

The hiking path to the top of a mountain makes, at the steepest place, an angle of 20 with the horizontal, and it maintains this constant slope for 500 meters, as illustrated. Which of the following approximation to the change in elevation, in meters, over this 500-meter section?

• 20

• 170

• 180

• 250

• 470

​Correct Answers	​Score
​0	​1
​1-4	​2-9
​5-10	​10-14
​11-21	​14-16
​22-30	​17-21
​31-40	​22-24
​41-48	​25-27
​49-54	​28-30
​55-57	​31-34
​58-59	​34-35
​60	​36

Have a look at challenging problem

A. 1
B. 3
C. 4
D. 7
E. 9

Can also be time consuming

In the standard (x,y) coordinate plane, the triangle with vertices at (0,0), (0,k), and (2,m), where m is constant, changes shape as k changes. What happens to the triangle's area, expressed in square coordinate units, as k increases starting from 2?

A. The area increases
B. The area decreases
C. The area always equals 2
D. The area always equals m
E. The area always equals 2m

Let's
Rock