I often have particularly good students ask for hard SAT and ACT problems. These students also tend to frequent Reddit. It’s an interesting Venn diagram.

Anyways, here’s a list of some hard problems that I give these students. I’ve pulled these from the GRE and the GMAT, two exams I teach which have similar problems to the SAT (but are more difficult).

**Answers are at the end.**

Important note before you start: don’t just do these problems, *learn from them*. Way too often, I see students do a bunch of problems, get some right, some wrong, and then say “Well, guess that’s that.”

If you get a problem wrong, redo it the right way. Make sure you learn exactly how you were supposed to do the problem correctly in the first place. Then, go back to the problem later so you remember what you learned.

An error log, like my error log app *21st Night*, can help with this. Free 2 week trial at the link!

Table of Contents

## Hard SAT and ACT algebra problems

## Hard SAT and ACT percentages problems

## Hard SAT and ACT geometry problems

## Hard SAT and ACT word problems

## Hard SAT and ACT functions problems

## Hard SAT and ACT coordinate geometry problems

## Hard SAT and ACT exponents problems

## Hard SAT and ACT graph problems

## Hard SAT and ACT averages questions

## Answers

- C
- C
- D
- E
- A

1. E

2. 25

3. 17

4. 9274

- C

2. B

3. B

4. 192

5. 100

- B
- E
- B
- E
- 7

1. D

2. B

3. A

4. 4/9

5. C

- B
- 5
- D
- D
- C

1. 7

2. E

3. E

4. D

5. 6.25

- E
- E
- D
- B
- B

1. $120

2. D

3. B

4. B

5. D