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You’ve studied and now you’re geared up for the ACT math section (whoo!). But are you ready to take on the most challenging math questions the ACT has to offer? Do you want to know exactly why these questions are so hard and how best to go about solving them? If you’ve got your heart set on that perfect score (or you’re just really curious to see what the most difficult questions will be), then this is the guide for you.

We’ve put together what we believe to be the most 21 most difficult questions the ACT has given to students in the past 10 years, with strategies and answer explanations for each. These are all real ACT math questions, so understanding and studying them is one of the best ways to improve your current ACT score and knock it out of the park on test day.



Brief Overview of the ACT Math Section
Like all topic sections on the ACT, the ACT math section is one complete section that you will take all at once. It will always be the second section on the test and you will have 60 minutes to completed 60 questions.

The ACT arranges its questions in order of ascending difficulty. As a general rule of thumb, questions 1-20 will be considered “easy,” questions 21-40 will be considered “medium-difficulty,” and questions 41-60 will be considered “difficult.”

The way the ACT classifies “easy” and “difficult” is by how long it takes the average student to solve a problem as well as the percentage of students who answer the question correctly. The faster and more accurately the average student solves a problem, the “easier” it is. The longer it takes to solve a problem and the fewer people who answer it correctly, the more “difficult” the problem.

(Note: we put the words “easy” and “difficult” in quotes for a reason—everyone has different areas of math strength and weakness, so not everyone will consider an “easy” question easy or a “difficult” question difficult. These categories are averaged across many students for a reason and not every student will fit into this exact mold.)

All that being said, with very few exceptions, the most difficult ACT math problems will be clustered in the far end of the test. Besides just their placement on the test, these questions share a few other commonalities. We'll take a look at example questions and how to solve them and at what these types of questions have in common, in just a moment.



But First: Should You Be Focusing on the Hardest Math Questions Right Now?
If you’re just getting started in your study prep, definitely stop and make some time to take a full practice test to gauge your current score level and percentile. The absolute best way to assess your current level is to simply take the ACT as if it were real, keeping strict timing and working straight through (we know—not the most thrilling way to spend four hours, but it will help tremendously in the long run). So print off one of the free ACT practice tests available online and then sit down to take it all at once.

Once you’ve got a good idea of your current level and percentile ranking, you can set milestones and goals for your ultimate ACT score. If you’re currently scoring in the 0-16 or 17-24 range, your best best is to first check out our guides on using the key math strategies of plugging in numbers and plugging in answers to help get your score up to where you want it to. Only once you've practiced and successfully improved your scores on questions 1-40 should you start in trying to tackle the most difficult math problems on the test.

If, however, you are already scoring a 25 or above and want to test your mettle for the real ACT, then definitely proceed to the rest of this guide. If you’re aiming for perfect (or close to), then you’ll need to know what the most difficult ACT math questions look like and how to solve them. And luckily, that’s exactly what we’re here for.

Answer:

24 movies

Step-by-step explanation:

48 is a constant. 2 and 4 are variables. So we write 48+2x=4x to show they are equal after some amount of movies. Isolate to get 4x-2x=48. Simplify to get 2x=48. Divide each side by 2 to get x=24. The answer is 24.

Hope this helps!

Answer:

The system of equations is:

[tex]a+s = 250\\5a+2.50s = 837.50[/tex]

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

[tex]a+s = 250[/tex]

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: [tex]5a[/tex]

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:[tex]2.50s[/tex]

The total earning was $837.50 so the second equation will be:

[tex]5a+2.50s = 837.50[/tex]

Hence,

The system of equations is:

[tex]a+s = 250\\5a+2.50s = 837.50[/tex]

Here a is the number of adult tickets and s is the number of student tickets

Answer:

The answer is the last answer choice (D).

Step-by-step explanation:

f(x) = [tex]x^{3} +2x^{2}[/tex]

When you factor, you get the values 0 and -2, 0 have a multiplicity of 2 and -2 having a multiplicity of 1.

Answer:

Step-by-step explanation:

Heeyyyyyy hope that person that answered that was right!!!!

Answer:

46.15%

Step-by-step explanation:

60/130 = .4615

multiply by 100 to get it into percentage form

46.15%

Answer:

Yes

Step-by-step explanation:

When you divide all of them they all equal the same thing

Answer:

15.5 hours

Step-by-step explanation:

cause i know

Answer:

c!

Step-by-step explanation:

You can just pull out a blank graph and plot your answers on there!

Answer:

64 robberies

Step-by-step explanation:

45.8 is 10%

4.58 is 1%

4.58 times 4 is 18.32

45.8 plus 18.32 is 64.18 or just 64

Answer:

22.8, 28, 3, 12.2, 31.5, 6

Step-by-step explanation:

15.

17-(4.4/2)+8

17-(2.2)+8

25-2.2

22.8

16.

(7^2-7)/3*2

(49-7)/3*2

42/3*2

14*2

28

17.

14/2-16/4

7-4

3

18.

3.2+3*6/2

3.2+18/2

3.2+9

12.2

19.

7*.3*(8.1+6.9)

2.1*(15)

31.5

20.

11-(7.6+7.4)/5

11-(15)/3

11-5

6

Hope it helped!

Answer:

15.) 22.8

16.) 28

17.) 3

18.) 12.2

19.) 31.5

20.) 8

Sorry for being a little slow. I had to calculate each one :)

Answer:

the first problem is - 85 and you continue from there

We have the price of a senior ticket is $4 and the price of a child ticket is $7

Step-by-step explanation:

We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.

We have from day 1:

A: 3s + 9c = 75

And from day 2:

B: 8s + 5c = 67

Now we can rewrite A as:

A: 24s + 72c = 600

And can rewrite B as:

B: 24s + 15c = 201

Now A-B can be written as:

A-B: 57c = 399

So c = 7

Now substituting this back into A we get:

A: 3s + 63 = 75

A: 3s = 12

So s = 4

We have the price of a senior ticket is $4 and the price of a child ticket is $7

Answer:

16

Step-by-step explanation: I dunno I just guessed. lol

l m a o lol

Answer:

129

Step-by-step explanation:

1,923 divided by 15 is 128.2

however you can't have 128.2 rows, so you need an extra row to accommodate for the leftover bushes

so 129

Answer:he should build them 25x10

Step-by-step explanation:

Encik Ahmad can build 10 square plots with three different sizes.

Rectangle is a polygon in two dimensional geometry which has four sides and four angles and each angle being right angles.

Length of the rectangular plot = 85 m

Width of the rectangular plot = 30 m

We have to find the number of square plots Encik Ahmad can built of three different sizes.

For that first we take a 45 m length of the plot.

Divide it to three equal lengths. We get three lengths with each 15 m length.

Along the width also, divide into two equal width, each having a width of 15 m.

Each 15 m length, we will get two square plots.

Along 45 m length, we get 3 × 2 = 6 square plots.

The remaining rectangle has length 40 m and width 30 m.

Divide this length as 30 m and 10 m.

So we get a square of dimension 30 m.

Remaining is a rectangle whose remaining length is 10 m and width 30 m.

Along the width, divide into three equal widths, each 10 m.

So there we get three square plots with side length 10 m.

So we have 10 square plots, 6 having the side length 15m, 1 having the side length 30 m and 3 having the side length 10 m.

Hence he get 10 square plots having three different sizes as 15 m, 30 m and 10 m.

To learn more about Rectangles, click :

https://brainly.com/question/29123947

#SPJ2

Answer:

3.

a. 3.059, 3.05, 3.049, 3.04

b. 182.205, 182.105, 182.05, 182.025

4.

a. 7.68, 7.608, 7.6, 7.068

b. 439.162

Step-by-step explanation:

Answer:

-they are all straight lines

-they all cross the y-axis at (0,4)

Step-by-step explanation:

Answer:

All these graphs intercept the y-axis at 4 OR

All these graphs b = 4

All these graphs have a slope or are non-vertical

Step-by-step explanation:

y = 3x + 4

y = 2x + 4

y = -x +4

y = -5x + 4

All these graphs intercept the y-axis at 4

slope intercept equation is y = mx + b, the line intercepts the y-axis at b

In addition, all these graphs have a slope or are non-vertical

Answer:

wah??

Step-by-step explanation:

Answer:

8x+70

Step-by-step explanation:

2 x width is (24+3)x2 = 54

2 x length is 2(4x+8)= 8x+16

Length + width = 54+8x+16 ===>

Perimeter = 8x+70

Answer:

Yes it is i did this test i believe this is a middle school problem from flvs.

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

Answer:

x>-5

Step-by-step explanation:

divide by -2, but flip the sign because it's negative

x>-5

Answer:

X>-5

Step-by-step explanation:

[tex] - 2x < 10 \\ [/tex]

Multiply by (-1) to get rid of - next to x, by doing so the "<" changes into ">"

[tex]2x > - 10 \\ x >- 10 \div 2 \\ x > - 5[/tex]

Answer:

29.7

Step-by-step explanation:

Answer:

3.9 dollars per kilograms

Step-by-step explanation:

The answer is  ( D ),   y ≤ 6

The range begins from minimum value to maximum value.

However, in the graph. There's no minimum value as it's heading toward negative infinity.

So we use y ≤ 6 instead.

So the clear answer is y ≤ 6 or ( D )

Answer:

6 centimeters and 4 centimeters

Step-by-step explanation:

According to the Triangle Inequality, the sum of the lengths of any two sides of a triangle has to be greater than the third side. The answer choices that satisfy the Triangle Inequality is 6 centimeters and 4 centimeters.

Answer:

Vertex (2,2)

y- Intercept is 10

On problems like this, use Desmos Graphing. It helps a lot.

Answer:

Step-by-step explanation:

the base of the vertex is going to be on 2,2, with a y intercept of 10

Answer:

4

Step-by-step explanation:

32/2=16  16/2=8  8/2=4

Answer:

15 + 3.75x = Y

Step-by-step explanation:

The answer would be 72.8 grams

Answer:

I believe the answer is C. I'd have to work this out on paper to be certain, but from what i worked out mentally, i got C. lol

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It explains all ways he can learn for each topic

Gt= Graph and text

Gv= Graph and vid

(same pattern with the rest)

and at the end

T/V= both text and video

Answer:

5 times

Step-by-step explanation:

Given that,

The area of Canada is approximately 1×10⁷ square kilometers, and the area of Mexico is approximately 2×10⁶ square kilometers.

We need to find the area of Canada is approximately how many times the area of Mexico.

Dividing both areas as follows :

[tex]\dfrac{A_c}{A_m}=\dfrac{10^7}{2\times 10^6}\\\\\dfrac{A_c}{A_m}=5\\\\A_c=5A_m[/tex]

So, the area of Canada is approximately 5 times the area of Mexico.