The Mathematics Achievement section is the longest part of the ISEE. You will have 40 minutes to answer 47 questions, and you are not allowed to use a calculator.

**How is it different from Quantitative Reasoning?**

Aside from length and timing, this section is very similar to Quantitative Reasoning, except that it does not have any Quantitative Comparison questions. Additionally, where Quantitative Reasoning questions are designed to be solved primarily through logic and reasoning (on top of a healthy knowledge of math concepts), Mathematics Achievement involves a greater focus on calculations and knowledge of math terminology.

Piqosity’s math lessons are applicable to both sections; mastering them will ensure that you are well-prepared to tackle all of the math you will see on test day.

Because of the differences in the format for each section, however, it is important to practice questions from both sections on a regular basis.

**Learn and review concepts**- Use Piqosity’s lessons and associated practice problems to learn new math concepts, and to revisit those you haven’t encountered recently**Practice**- Complete timed, strategic practice on a regular basis, and always make sure you understand your mistakes**Revisit and reinforce**- As you practice, continue to review the lessons and other supplementary materials to fortify your weak areas

Your Piqosity account includes access to curated lessons on every math topic that appears on the ISEE. Reviewing these lessons and topics, especially as you review your first practice test, will give you a better idea of:

- What you know
- What you need to review
- What you still need to learn

As with all sections of the ISEE, your practice for the Mathematics Achievement section should be frequent, thoughtful, and reflective:

Frequent

- Complete at least 1-2 hours of practice per week, across all sections of the ISEE
- Break up your practice time as needed to establish a schedule you can stick to

Thoughtful

- Answer every question, and always try your best
- Pay attention to your pacing
- Utilize the strategies you have learned

Reflective

- Review your mistakes and re-work questions you missed
- Mark hard questions so you can return to them later
- Focus your practice on your weakest areas

Here is an example of what a Mathematics Achievement question looks like - it’s an official sample question from the creators of the ISEE:

An important part of preparing for any standardized test is systemizing the way in which you answer questions. If you have a system and you’ve practiced it well, you’ll be able to tackle every question confidently and efficiently, like a well-oiled machine. This is because you’ll already have a plan in place for how you’ll respond to familiar and unfamiliar topics alike.

This systematic approach to answering any question on the Mathematics Achievement section involves asking yourself three key questions, which we’ll break down further below.

This process should take you less than a minute, and substantially less for questions you choose to guess on and skip. This is why practice is important: you must master not only the content being tested, but also your strategy and pacing.

Let’s break down the three key questions from the systematic process illustrated above in a little more detail:

**Do you understand what the question is asking?**Underline any key information. In your head, summarize what the question is asking you to do.**Can you recall the tools, formulas, or strategies needed to solve?**Think about what you’ve learned in school and reviewed on Piqosity. Will you be able to solve confidently using what you know?**Can you solve the problem relatively quickly?**You only get 51 seconds per question on average, so every second counts!

If you’re using this system correctly, you should end up making “educated guesses” on several questions during the test (especially when you’re still getting used to the format and content of the ISEE).

Now, let’s break down the steps to follow when you decide to make an educated guess on a Mathematics Achievement question:

Let’s break down what this systematic approach might look like when applied to the sample question cited earlier:

**Eliminate answer choices.**For the left side of the equation to be equivalent to 9/12, the numerator will need to be less than the denominator. I think that rules out A and B, because a positive x value would lead to a larger numerator (since 3 is being added to x).**Guess.**Between C and D, I think -12 makes more sense because it’s more negative. -1 would give me 2 in the numerator and -1 in the denominator, which isn’t going to work out to 9/12. I’ll select D on my answer sheet for now.**Mark the question.**If I have time, I’d like to come back to this question so I can plug in -12 and confirm my answer. I’ll circle the question in my booklet so I can find it easily.**Move on!**

Preparing for the ISEE’s math sections is a cyclical process. It’s not enough to review every math topic once, take a practice test, and then call it a day. On the contrary, seeing your Mathematics Achievement score improve will require you to continually revisit concepts as you work through practice material. After all, you’re highly unlikely to master a topic after practicing it just once, and the large number of topics that can appear on the ISEE means that you’ll need to review topics repeatedly as you get rusty on them over time.

In other words, your preparations should end up looking like this:

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