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**What’s Covered:**

- How Will AP Scores Impact Your College Chances?
- Overview of the AP Calc BC Exam
- AP Calc BC Practice Questions
- Final Tips

The AP Calculus BC Exam historically has a higher pass rate than other AP exams, with 81.3% of students receiving a score of 3 or higher in 2020 and 44.6% of students receiving a score of 5. To do well on this exam, you’ll need to have an in-depth knowledge of important calculus topics and be prepared to answer many involved questions in a limited time. This blog post will go over some of the more difficult questions that you might encounter on the AP Calculus BC Exam, with detailed explanations of how to solve them.

## How Will AP Scores Impact My College Chances?

AP scores actually have little impact on your college chances. In fact, most college applications don’t require you to report your scores. AP classes (more so than AP exams) boost your application by demonstrating your willingness to challenge yourself academically. You can find out more about the impact of AP scores on your admissions in our blog post.

If you want to see how your AP classes affect your chances at getting into specific colleges, try out CollegeVine’s Admissions Chances Calculator. This free tool will let you know your chances at the schools of your choice by evaluating your test scores, grades, and extracurriculars. It’ll even offer advice to further strengthen your application!

## Overview of the AP Calculus BC Exam

The AP Calculus BC Exam will have both paper and digital formats in 2021.

The **paper administration** is held on May 4, 2021 and May 24, 2021:

Section I: Multiple Choice, 50% of exam score

No calculator: 30 questions (60 minutes)

Calculator: 15 questions (45 minutes)

Section II: Free Response, 50% of exam score

Calculator: 2 questions (30 minutes)

No Calculator: 4 questions (60 minutes)

The **digital administration** is held on June 9, 2021:

Section I: Multiple Choice

45 questions (1 hour 45 minutes), 50% of exam score

Section II: Free Response

(Video) Hardest AP Exams by Pass Rate! #shorts6 questions (1 hour 30 minutes), 50% of exam score

A calculator can be used during all sections of the digital exam.

The AP Calculus BC Exam contains all the concepts on the AP Calculus AB Exam, along with two additional topics:

- Limits and Continuity (4–7%)
- Differentiation: Definition and Fundamental Properties (4–7%)
- Differentiation: Composite, Implicit, and Inverse Functions (4–7%)
- Contextual Applications of Differentiation (6–9%)
- Analytical Applications of Differentiation (8–11%)
- Integration and Accumulation of Change (17–20%)
- Differential Equations (6–9%)
- Applications of Integration (6–9%)
- Parametric Equations, Polar Coordinates, and Vector-Valued Functions (11–12%)
- Infinite Sequences and Series (17–18%)

The last two topics are specific to the AP Calculus BC Exam.

## 10 Hardest AP Calculus BC Questions

We’ll be focusing on questions specific to the AP Calculus BC Exam (i.e. they wouldn’t be found on the AP Calculus AB Exam). This means that this selection of questions isn’t an accurate representation of the distribution of types of questions that you’ll see on the AP Calculus BC Exam. To see more relevant sample questions, check out our 10 Hardest AP Calculus AB Questions blog post.

### Question 1

**Answer: C**

This question requires you to compute complicated derivatives. Since it’s asking for the slope of the tangent line, we’ll need to find \(\frac{dy}{dx}\).

But, we are given equations for \(x\) and \(y\) in terms of \(t\).

This means that if we find \(\frac{dy}{dt}\) and \(\frac{dx}{dt}\) at \(t=2\), we can divide \(\frac{dy}{dt}\) by \(\frac{dx}{dt}\) to solve for \(\frac{dy}{dx}\).

Let’s start by finding \(\frac{dx}{dt}\) and \(\frac{dy}{dt}\) by differentiating \(x\) and \(y\) with respect to \(t\):

For \(\frac{dx}{dt}\), we’ll need to use the division rule:

\(\frac{dx}{dt}=\frac{(t+1)6-6t(1)}{(t+1)^2}=\frac{6t+6-6t}{(t+1)^2}=\frac{6}{(t+1)^2}\)

So, at \(t=2\), \(\frac{dx}{dt}=\frac{6}{(2+1)^2}=\frac{6}{3^2}=\frac{6}{9}=\frac{2}{3}\).

Next, we can rewrite \(y(t)\) as \(y(t)=-8(t^2 +4)^{-1}\) so that we can use the power rule (and chain rule) to differentiate:

\(\frac{dy}{dt}=-8(-1)(t^2 +4)^{-2}\cdot 2t=\frac{16t}{(t^2 +4)^2}\).

Then, at \(t=2\), \(\frac{dy}{dt}=\frac{16(2)}{(2^2 +4)^2}=\frac{32}{8^2}=\frac{32}{64}=\frac{1}{2}\).

Now we can divide, and we get that:

\(\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{1/2}{2/3}=\frac{3}{4}\).

### Question 2

Answer: D

Recall that Euler’s method involves the following formula:

\(y_n =y_{n-1}+\Delta x \cdot f'(x_{n-1},y_{n-1})\)

Essentially, what this formula means is that if we’re taking steps of \(\Delta x=1\), our next \(y\)-value (\(y_n\)) is equal to our previous \(y\)-value (\(y_{n-1}\)) plus the step multiplied by the derivative evaluated at \(y_{n-1}\) and \(x_{n-1}\).

So, let’s start with \(y_0 =f(0)=1\):

\(y_0 =f(0)=1\)

\(y_1=f(0.5)=f(0)+(0.5)f'(0,1)=1+(0.5)(1+2(1))=1+(0.5)(3)=2.5\)

\(y_2=f(1)=f(0.5)+(0.5)f'(0.5,2.5)=2.5+(0.5)(1+2(2.5))=2.5+(0.5)(6)=5.5.\)

Since we’ve reached \(x=1\), our Euler’s method approximation is \(f(1)=5.5\).

### Question 3

Answer: C

To evaluate integrals with infinity, we typically use limits like as follows:

\(\lim_{b \to \infty}\int_{0}^{b} kxe^{-2x}\:dx\)

This way, we can integrate the function first, and then worry about the bounds. For this particular equation, we’ll need to do integration by parts. Also, remember to just treat \(k\) as a constant.

For integration by parts, remember the formula: \(\int u\:dv= uv-\int v\:du\)

In our case, we can use the following expressions for \(u\) and \(v\):

\(u=kx\) | \(v=\frac{-1}{2}e^{-2x}\) |

\(du=k\:dx\) | \(dv=e^{-2x}\:dx\) |

Then, \(\int kxe^{-2x} dx=kx(\frac{-1}{2}e^{-2x})-\int \frac{-1}{2}e^{-2x}(k)\:dx\)

\(=\frac{-kxe^{-2x}}{2}-\frac{-k}{2}\int e^{-2x}\:dx\)

\(=\frac{-kxe^{-2x}}{2}+\frac{k}{2}\int e^{-2x}\:dx\)

\(=\frac{-kxe^{-2x}}{2}+\frac{k}{2}(\frac{-1}{2})e^{-2x}\)

\(=-e^{-2x}(\frac{kx}{2}+\frac{k}{4})\)

\(=\frac{-k(2x+1)}{4e^{2x}}\)

So, we can use this expression in our limit:

\(\lim_{b \to \infty}\int_{0}^{b} kxe^{-2x} dx=\lim_{b \to \infty}[\frac{-k(2x+1)}{4e^{2x}}]_{0}^{b}=\lim_{b \to \infty}[\frac{-k(2b+1)}{4e^{2x}}]-[\frac{-k(2(0)+1)}{4e^{2x}}]\)

\(=0-[\frac{-k}{4}]\)

\(=\frac{k}{4}\).

We wanted this limit to be equal to \(1\), so we have that \(\frac{k}{4}=1 \Rightarrowk=4\).

Note that as we were evaluating the limit, the term \(\frac{-k(2b+1)}{4e^{2x}}\)goes to \(0\) as \(b\) goes to infinity since \(e^{2b}\) grows faster than \(2b\), so the total expression becomes close to \(0\).

### Question 4

**Answer: C**

This problem becomes fairly simple once you recall that the alternating series error bound guarantees that the error is less than the value of the next term. So, in our case:

\(|f(1)-P_4(1)|\leq|P_5(1)|\)

So, we’ll need to calculate \(|P_5 (1)|\). Since they gave us the Taylor polynomial formula, we can use \(x=1\) and \(k=5\).

Then, \(|P_5 (1)|=|(-1)^5 \cdot \frac{(1)^5}{5^2 +5+1}|=|-1\cdot \frac{1}{31}|=1/31\).

### Question 5

**Answer: B**

You should have the formula for each component of a Taylor polynomial memorized. The \(n\)th component of a Taylor series for \(f\) about \(x=a\) is given by:

\((x-a)^n \frac{f^n (a)}{n!}\)

Since we want the third-degree Taylor polynomial, we’ll need to evaluate for \(n=0, 1, 2,\) and \(3\), and we can use the chart to find the values of the derivatives. Be careful to only look at the second row of the chart, since we only care about the values at \(x=1\):

\(P_3(x)=(x-1)^0 \frac{f^0(1)}{0!}+(x-1)^1 \frac{f^1(1)}{1!}+(x-1)^2 \frac{f^2(1)}{2!}+(x-1)^3 \frac{f^3(1)}{3!}\)

\(=1\cdot \frac{2}{1}+(x-1)\frac{-3}{1}+(x-1)^2 \frac{3}{2}+(x-1)^3 \frac{-2}{6}\)

\(=2-3(x-1)+\frac{3}{2}(x-1)^2 -\frac{1}{3}(x-1)^3\)

Then, the answer is B.

### Question 6

**Answer: B**

For this series to converge absolutely, we’ll need that \(\sum_{n=1}^{\infty}|\frac{(-1)^n}{1+\sqrt{n}}|=\sum_{n=1}^{\infty}\frac{1}{1+\sqrt{n}}\)converges.

But, the P-series test states that a sum \(\sum_{n=1}^{\infty}\frac{1}{n^p}\)converges only if \(p>0\), the absolute value of our series does not converge, since \(p=1/2\).

So, the series does not converge absolutely and A is incorrect.

Next, we can check if the series converges conditionally. We can do this using the alternating series test. This means that we need to satisfy two conditions:

\(\frac{1}{1+\sqrt{n}}\) is a decreasing sequence

\(\lim_{n\to \infty}\frac{1}{1+\sqrt{n}}=0\)

Since both of these conditions are satisfied (as \(n\) increases, \(\frac{1}{1+\sqrt{n}}\)decreases and as \(n\) approaches infinity, \(\frac{1}{1+\sqrt{n}}\)approaches \(0\)), we have that the alternating series converges conditionally. Therefore, answer choice B is correct.

### Question 7

**Answer: A**

The total distance a particle travels in the interval \([a,b]\) is given by

\(\int_{a}^{b} \sqrt{(x'(t))^2 +(y'(t))^2}dt\), where \(x'(t)\) and \(y'(t)\) are the derivatives of the components of the position function.

Since most questions involving length of the curve involve some form of differentiation, you might be tempted to take the derivatives of the functions given. But, this question is tricky in that you are actually given the velocity (which is the derivative of position), so there is no need to differentiate further. This means that you can directly plug the given components into the formula:

We use our calculator to determine that \(\int_{1}^{3} \sqrt{(4e^{-t})^2 +(\sin{1+\sqrt{t}})^2}\approx 1.861\).

### Question 8

**Answer: C**

This question is more conceptual than calculation-based. The first thing to note is that if the integral converges, we must have that the series converges as well. Therefore, answer choice D is incorrect.

Next, since the graph of g is given, and we know that it’s positive and decreasing, we know that the sum of the series must be **greater than** the value of the integral. The following picture helps illustrate this.

Since we have \(a_n =g(n)\)for each term of the series, the sum of the areas of the red bars is equal to the sum of the series. This is because each height of the bar corresponds to \(g(n)\), and the widths of each bar is \(1\), so the sum of the areas of the bars is \(g(1)+g(2)+g(3)+…=a_1 +a_2 +a_3 …\), which is equivalent to the sum of the series.

But, as we can see from the picture, the area of the bars overestimates the area under the curve, so the sum of the series is greater than the integral.

So, \(\sum_{n=1}^{\infty} a_n > 8\). This means that answer choice C is the only possible option.

### Question 9

**Answer: 3.634**

This question focuses on the y-coordinate, so we’ll only need to look at \(\frac{dy}{dt}\).

We know that \(\int_{0}^{3} dy= y(3)-y(0)\).

Since we want \(y(0)\), we can rewrite our equation as \(y(0)=y(3)-\int_{0}^{3}\:dy\).

We are given that \(\frac{dy}{dt}=6\cos{1+\sin{t}}\)and \(y(3)=2\). We can find that \(dy=6\cos{1+\sin{t}} dt\).

So, using our calculator, we get that \(y(0)=y(3)-\int_{0}^{3} 6\cos{1+\sin{t}} dt=2-(-1.634)=3.634.\)

### Question 10

**Answer: -3 \(\leq\) x \(\leq\)3**

The ratio test involves taking the limit of \(|\frac{a_{n+1}}{a_n}|\)as \(n\) approaches infinity. If the limit is less than \(1\), the series converges. If the limit is greater than \(1\), the series diverges. Finally, if the limit equals \(1\), the test is inconclusive.

Let’s conduct the ratio test for this problem (remember to treat \(x\) as a constant):

\(\lim_{n \to \infty} |\frac{a_{n+1}}{a_n}|=\lim_{n \to \infty}{|\frac{\ln{n+1}\cdot x^{n+1}}{3^{n+1}(n+1)^3}|\div |\frac{\ln{n}\cdot x^n}{3^n n^3}|}\)

\(=\lim_{n \to \infty}|\frac{\ln{n+1}\cdot x^{n+1}}{3^{n+1}(n+1)^3}|\times |\frac{3^n n^3}{\ln{n}x^n}|=\lim_{n \to \infty}|\frac{\ln{n+1}}{\ln{n}}\cdot \frac{3^{n}}{3^{n+1}}\cdot (\frac{n}{n+1})^3 \cdot \frac{x^{n+1}}{x^n}|\)

Remember that we can take the limits of products separately:

\(\lim_{n \to \infty} |\frac{\ln{n+1}}{\ln{n}}|\cdot \lim_{n \to \infty} |\frac{3^n}{3^{n+1}}|\cdot \lim_{n \to \infty} |(\frac{n}{n+1})^3|\cdot \lim_{n \to \infty} |\frac{x^{n+1}}{x^n}|\)

\(=\lim_{n \to \infty}1 \cdot \lim_{n \to \infty}1/3 \cdot \lim_{n \to \infty}1 \cdot \lim_{n \to \infty} |x|\)

If we simplify, we get \(\lim_{n \to \infty} |\frac{a_{n+1}}{a_n}|=|\frac{x}{3}|\), and since we want the series to converge, this limit needs to be less than \(1\).

So, \(|\frac{x}{3}|<1\). This becomes \(-1\lt \frac{x}{3}\lt 1\), or \(-3\lt x\lt 3\).

But, we’re not done here! We need to check the end points to see if the series converges when \(x=-3\) or \(x=3\).

At \(x=-3\), we have \(\sum_{n=2}^{\infty}\frac{\ln{n}}{3^n n^3}(-3)^n=\sum_{n=2}^{\infty}(-1)^n \cdot \frac{\ln{n}}{n^3}\).

To see if the series converges, we use the alternating series test:

\(\frac{\ln{n}}{n^3}\) decreases as \(n\) gets larger (since \(n^3\)is always larger than \(\ln{n}\))

To calculate \(\lim_{n \to \infty}\frac{\ln{n}}{n^3}\), we can use L’Hospital’s (since both the numerator and denominator approach \(\infty\)):

\(\lim_{n \to \infty}\frac{\ln{n}}{n^3}=\lim_{n \to \infty}\frac{1/n}{3n^2}=\lim_{n \to \infty}\frac{1}{3n^3}=0\)

Since both conditions are satisfied, the series converges at \(x=-3\).

Next, we can check for convergence at \(x=3\).

Our series becomes \(\sum_{n=2}^{\infty}\frac{\ln{n}}{3^n n^3}3^n=\sum_{n=2}^{\infty}\frac{\ln{n}}{n^3}\).

We can use the direct comparison test to determine if the series converges. If we find a bigger series that converges, the direct comparison test states that our series also converges.

So, since we know that \(\ln{n}\lt n\), we have that:

\(\frac{\ln{n}}{n^3}\lt \frac{n}{n^3}=\frac{1}{n^2}\)

Also, we know that \(\sum_{n=2}^{\infty}\frac{1}{n^2}\)converges by the P-series test (\(p=2\), which is greater than \(1\)).

Therefore, \(\sum_{n=2}^{\infty}\frac{\ln{n}}{n^3}\)also converges, and both \(-3\) and \(3\) are included in the interval.

So, our interval of convergence is \(-3\leq x\leq 3\).

## Final Tips

As you study for this exam, keep these helpful tips in mind:

### Focus on topics specific to AP Calculus BC

Though you’ll obviously need strong knowledge of AP Calculus AB content to do well on this exam, keep in mind that the multiple-choice section of the exam places a greater weight on BC-specific topics. So, make sure you’re confident with parametrizations, polar coordinates, sequences, and series.

However, even if you’ve already taken the AP Calculus AB exam, don’t completely neglect AB topics. Many AP Calculus BC topics build off of AB topics (for example, limits play a big role in series convergence tests), so though you should focus your studying on the former, make sure to brush up on the latter as well.

### Use your calculator wisely

While it’s obvious that doing calculations in your calculator rather than your head will save you time and help eliminate careless mistakes, there are many other helpful features on a graphing calculator. For example, if you’re asked to compute the volume created by rotating an area around an axis, graph both the function and the bounds. This way you can find the intersections with your calculator rather than solving by hand.

Essentially, there are various calculator tricks that can simplify a tedious problem. It’ll take practice, but the more you use your calculator, the more comfortable you’ll eventually be with using it, which will make the test-taking process go much more quickly and smoothly.

Take a look at some of CollegeVine’s other guides to AP exams:

Ultimate Guide to the AP Calculus BC exam

Ultimate Guide to the AP Calculus AB exam

2021 AP Exam Schedule + Study Tips

How to Understand and Interpret Your AP Scores

(Video) Roasting Every AP Class in 60 SecondsHow Long Is Each AP Exam? A Complete List

How to Make a No-Fail Study Timeline for Spring AP Exams

## FAQs

### What percent is a 5 on AP Calc BC? ›

AP Score | % of Students 2021 | % of Students 2019 |
---|---|---|

5 | 38.3% | 49.5% |

4 | 16.5% | 23.5% |

3 | 20.4% | 13.2% |

2 | 18.2% | 09.7% |

**Is AP Calc BC the hardest AP? ›**

While AP Calculus BC is **not considered the hardest AP class**, there are many factors that contribute to what kind of experience any given student will have in the class and taking the AP exam.

**Is a 5 on AP Calc BC hard? ›**

What is a good AP® Calculus BC score? Receiving a 3, 4, or 5 is generally accepted as scoring well on an AP® exam. According to the College Board a 3 is 'qualified,' a 4 'well qualified,' and a 5 '**extremely well qualified**.

**What is the hardest AP Calc BC test? ›**

“AP Calculus BC students generally performed well across units but found **Unit 10 (Infinite Sequences and Series)** the most challenging, followed by Unit 9 and Unit 6.”

**What is a 75% on an AP test? ›**

...

Step 3: Use the Chart to Estimate Your Scaled Score.

**Is Calc BC harder than AB? ›**

**AP Calculus BC is more difficult than AP Calculus AB**. Not only does it include additional topics, which requires an accelerated pace, but the additional units, especially Unit 10, tend to be more difficult than the Calc AB units.

**What are the top 3 hardest AP classes? ›**

**The Three Hardest AP Classes**

- AP Physics 1. Despite a reputation as one of the most difficult AP classes, Physics 1 is also one of the most popular—144,526 students took it in 2022. ...
- AP U.S. History. AP U.S. History is one of the hardest AP classes in the humanities and in general. ...
- AP United States Government and Politics.

**How many people get a 5 on AP Calc? ›**

No test taker achieved a perfect score on the 2021 AP Calculus AB exam. However, **17.6%** of test-takers scored a 5.

**What are the top 5 hardest AP tests? ›**

**United States History, Biology, English Literature, Calculus BC, Physics C, and Chemistry** are often named as the hardest AP classes and tests.

**What is the easiest AP exam to get a 5? ›**

AP Class/Exam* | Pass Rate (3+) | Perfect Score (5) |
---|---|---|

1. Physics C: Mechanics | 84.3% | 41.6% |

2. Calculus BC | 81.6% | 44.6% |

3. Spanish Literature | 75.1% | 17.6% |

4. Physics C: Electricity and Magnetism | 74.4% | 40.4% |

### What raw score do you need for a 5 on AP Calculus BC? ›

While the formula to translate raw scores into the scaled 1-5 score varies from year to year, a good rule of thumb is to aim for **at least 70 points out of 108** for a score of 5, and at least 60 points out of 108 for a score of 4 or higher.

**What is the passing rate for Calc BC? ›**

That AP® Calculus BC exam has a passing rate of **75.2%** and a mean score of 3.62, both of which are significantly higher than the passing rate and average score of AP® Calculus AB. However, about twice as many students took the AP® Calculus AB exam (251,639) in 2021 as took the AP® Calculus BC exam (124,599).

**Which AP exam has the highest passing rate? ›**

...

Top 10 Hardest AP Classes by Exam Pass Rate.

AP Class/Exam | Pass Rate (3+) | Perfect Score (5) |
---|---|---|

1. Physics 1 | 51.6% | 8.8% |

2. Environmental Science | 53.4% | 11.9% |

3. Chemistry | 56.1% | 10.6% |

4. U.S. Government and Politics | 57.5% | 15.5% |

**What is considered the hardest AP? ›**

**AP Physics C – Electricity & Magnetism (E&M)** is rated as the hardest AP test by real AP class alumnae, with an average difficulty rating of 8.1 / 10 (10 = hardest). Those who stay the course often score well, though, with a 2022 pass rate of 69%, and 30% of students earning a 5.

**Can you skip Calc AB for BC? ›**

Unlike courses like Algebra I and Algebra II, Calculus AB (Advanced Placement Calculus) and Calculus BC do not have to be taken in a specific sequence. Meaning, **you could take Calculus BC without having ever taken Calculus AB**. Many students do.

**Is 4 a good AP scores for Ivy League? ›**

In terms of Ivy League and Top 20 schools, **even a 4 is a relatively low score to earn on an AP exam**. It is routine for Ivy League admissions officers to review applications from students who have scored 5s on multiple AP tests.

**What GPA is a 90 in an AP class? ›**

Letter Grade | Numerical Grade | AP/IB GPA |
---|---|---|

A/A+ | 93-100 | 5.0 |

A- | 90-92 | 4.7 |

B+ | 87-89 | 4.3 |

B | 83-86 | 4.0 |

**Can you self study AP Calculus BC? ›**

If you plan to self-study for the AP Calculus BC exam without taking an AP class, you may have a few more obstacles and challenges ahead. However, **it is definitely doable**. The biggest challenge will be not having a teacher to introduce concepts and help you improve.

**Do colleges care if you take AB or BC Calc? ›**

Do these colleges care if I take Calc AB vs Calc BC next year? Short answer, no. Longer answer, **it depends upon the rest of your schedule**. If it's sufficiently rigorous that it still warrants the GC checking the “most rigorous” box, then it really does not matter.

**Do colleges care about AB vs BC Calc? ›**

**It really depends upon the particular college and major**. A lot of colleges accept a minimum score of 3 or 4 on the AB as exam as credit for Calculus I and that score on the BC exam would get you credit for Calculus I and II. However, not all schools grant credit for all AP courses.

### What is the rarest AP class? ›

**In 2021, the least popular AP exams were as follows, based on number of test-takers:**

- AP Italian (2,102 test-takers)
- AP Japanese (2,204 test-takers)
- AP German (4,315 test-takers)
- AP 3-D Art and Design (4,573 test-takers)
- AP Latin (4,889 test-takers)

**Is getting a 5 on AP good? ›**

**An AP® score of 5 is the best that you could have done on the AP® exam**. If you earned a 5, then congratulations! Getting a 5 means that you have agonized over this exam, studying and working over all else.

**How many AP classes should I take for Harvard? ›**

Incoming students who have taken AP exams need a total of **32 credits** to be eligible for Advanced Standing. Credits are earned by scoring 5 on a minimum of four AP exams. Harvard confers 4 or 8 credits for eac eligible AP exam depending on whether the exam covers one semester or one full year's worth of material.

**Can you hide an AP score? ›**

**You can request that the AP Program withhold one or more AP Exam scores from any college, university, or scholarship program that you chose as a score recipient**. The score will be withheld from any future score reports sent to that college, university, or scholarship program.

**Are AP tests curved? ›**

In other words, AP scores are not graded on a curve but instead calculated specifically to reflect consistency in scoring from year to year.

**Which AP Exam has the lowest pass rate? ›**

What Are the Most Failed AP Exams? All AP exams have a passing rate of at least 50%. The most failed AP exams are Physics 1 (failed by 48.4% of all students), Environmental Science (failed by 46.6% of all students), and Chemistry (failed by 43.9% of all students).

**Is a 70% a 5 on the AP exam? ›**

**Usually, a 70 to 75 percent out of 100 translates to a 5**. However, there are some exams that are exceptions to this rule of thumb. The AP Grades that are reported to students, high schools, colleges, and universities in July are on AP's five-point scale: 5: Extremely well qualified.

**What is the hardest AP to self study? ›**

The Hardest AP Classes

Traditionally, courses like **English Literature, Physics 1, and Chemistry** are difficult to self-study for or complete at home because of the need for conversation and 1:1 instruction — like the lab element necessary to understand the science courses' material.

**Can you get a 7 on an AP exam? ›**

**AP Exams are scored on a scale of 1 to 5**.

**Do colleges like 5 on AP exams? ›**

This will allow the school to assess whether they are going to provide you college credit for any of the AP courses that you have taken. **Typically, most of the time schools want to see a 4 or 5 in order to give you credit for the class**. Every so often they will give credit for a score of 3 depending upon the exam.

### What percent of students get all 5s on AP exams? ›

...

AP Score Distributions.

Exam | AP Human Geography |
---|---|

5 | 14.9% |

4 | 18.7% |

3 | 19.6% |

2 | 15.0% |

**Do 5s on AP exams matter? ›**

**A 4 or a 5 is the AP score that will most likely earn you college AP credit**. Of course, no matter how you do on the AP test, you still get a grade for that AP class from your high school.

**What is a good grade in AP Calculus BC? ›**

“5” is the highest score one can get on the AP Calculus BC test, or pretty much any AP test. Obviously it's a good score.

**Has anyone gotten a perfect score on the AP Calc BC exam? ›**

“**You not only received the top score of 5** but were also one of only 2 students (amounting to just 0.002% of 2022 AP Calculus BC Exam takers) from around the world to earn every point possible on this challenging college-level examination,” the letter said.

**What is an AP score of 5 equivalent to? ›**

**What is Calc BC equivalent to in college? ›**

The College Board says Calculus AB is the equivalent of a semester of college calculus and BC is the equivalent of **a year of college calculus**.

**How do you get a 5 on Calc BC? ›**

**How Can I Get a 5 in AP Calculus AB/BC?**

- Know the test 📚 Knowing how you'll be tested and what you'll be tested over is key to getting a 5. ...
- Memorize derivative and integral rules ✅ ...
- Understand application problems 🚗 ...
- Practice, practice, practice!

**How hard is the Calc BC test? ›**

They ranked each class on a scale of 1 to 5, where 1 was "extremely easy" and 5 was "extremely difficult." Here are the results: Of those who considered themselves a "math person," AP Calculus AB was not very difficult (average score: 2.04), and AP Calculus BC was slightly difficult (average score: 2.64).

**How many AP exams is too much? ›**

Aim for four to eight AP exams in your junior and senior years. For competitive Ivy League schools, admission officers also want to see AP courses for core subject areas and additional courses. If possible, aim to pass about **seven to 12 AP exams** if applying to these highly selective schools.

**Which AP exam is the easiest? ›**

Exam Name | Passing Rate (3+) | 5 Rate |
---|---|---|

United States History | 52.10% | 11.70% |

Human Geography | 51.70% | 11.90% |

World History | 51.20% | 6.50% |

US Government & Politics | 50.90% | 12.40% |

### What is the national average AP scores? ›

Average AP Exams Score

The average or mean AP exams score for 2021 was **2.80**. Above 60% of total candidates earned more than three scores in AP exams in 2021.

**What grade is AP failing? ›**

The College Board considers a score of **3 or higher** a passing grade. That said, some colleges require a 4 or 5 to award credit. Whether a 3 is a good AP score depends on the colleges you're applying to.

**What is the most failed course in high school? ›**

**Algebra** is the single most failed course in high school, the most failed course in community college, and, along with English language for nonnative speakers, the single biggest academic reason that community colleges have a high dropout rate.

**Is AP harder than honors? ›**

**AP classes, however, are more challenging than honors classes**. These courses cover information, teach skills and give assignments that correspond to college classes. High school students taking AP courses will be held to the same standard as college students.

**How many students take AP Calculus BC? ›**

...

AP® Calculus: What We Know.

Placed via | average grade in Calculus II |
---|---|

Passed Calculus I | 2.51* |

3 on BC exam | 2.88 |

4 on BC exam | 3.24 |

5 on BC exam | 3.66 |

**Do you need to simplify on Calc BC exam? ›**

**Unless otherwise specified, answers (numeric or algebraic) need not be simplified**. If you use decimal approximations in calculations, your work will be scored on accuracy. Unless otherwise specified, your final answers should be accurate to 3 places after the decimal point.

**Why is Calc BC easier than AB? ›**

Why? The AP Calculus BC test is significantly easier than the AB **because of the thin layout of the BC test**. There is so much content in the BC Test, having to cover both AB contents, parametric equations, Taylor Series, etc, that the test becomes sparsely distributed, leaving the problems to not be as difficult.

**What percent right is a 5 on AP Calc? ›**

How many people get a perfect 5 in AP Calculus AB? No test taker achieved a perfect score on the 2021 AP Calculus AB exam. However, **17.6%** of test-takers scored a 5.

**What percent correct is a 5 on an AP exam? ›**

Usually, a **70 to 75 percent** out of 100 translates to a 5. However, there are some exams that are exceptions to this rule of thumb. The AP Grades that are reported to students, high schools, colleges, and universities in July are on AP's five-point scale: 5: Extremely well qualified.

**What percent is a 5 on AP stats? ›**

What score do you need to get a 5 in AP statistics? You need a composite score of **at least 70** to get a 5 on the AP Statistics exam.

### How many points is 5% of a grade? ›

Your oral exam is 5% of your total grade, so think of it as **5 points**. You earn an 80 on your oral exam, so you multiply . 05 (5%) and 80, which gives you 4 points. This means you earned 4 out of a total possible 5 points.

**What is the lowest 5 rate AP exams? ›**

**AP Physics 1**

Physics 1 has the lowest pass rate of any AP exam (43.3%) along with one of the lowest percentages of students scoring a 5 (just 7.9%).

**Should I retake an AP exam if I got a 2? ›**

If you got a 2 on your AP® English Language exam, **it is definitely worth trying to retake it**. Make it worth the added time and expense by taking these steps to improve your score. Track your scores on the multiple choice section. As you prepare, carefully note your score on the multiple choice section.

**How much do AP classes boost your GPA? ›**

While honors courses usually add 0.5 points to your GPA, AP classes often add **1 point**. In other words, a 3.5 GPA would be boosted to a 4.0 in an honors class and a 4.5 in an AP class.

**Which AP exam has the lowest pass rate? ›**

What Are the Most Failed AP Exams? All AP exams have a passing rate of at least 50%. The most failed AP exams are Physics 1 (failed by 48.4% of all students), Environmental Science (failed by 46.6% of all students), and Chemistry (failed by 43.9% of all students).

**What AP test has the highest pass rate? ›**

...

Top 10 Hardest AP Classes by Exam Pass Rate.

AP Class/Exam | Pass Rate (3+) | Perfect Score (5) |
---|---|---|

1. Physics 1 | 51.6% | 8.8% |

2. Environmental Science | 53.4% | 11.9% |

3. Chemistry | 56.1% | 10.6% |

4. U.S. Government and Politics | 57.5% | 15.5% |

**What grade is a 4.6 GPA? ›**

**What will a 76 do to my grade? ›**

...

Your final is worth:

Letter Grade | GPA | Percentage |
---|---|---|

C+ | 2.3 | 77-79% |

C | 2 | 73-76% |

C- | 1.7 | 70-72% |

D+ | 1.3 | 67-69% |

**What is a 0.7 GPA? ›**

GPA | Percent |
---|---|

1.0 | 60 |

0.9 | 59 |

0.8 | 58 |

0.7 | 57 |